#include <stdio.h>#include <math.h>#include <string.h>#include "matrix.h"#include "eigsol.h"Go to the source code of this file.
Functions | |
| long | addm (const matrix &a, const matrix &b, matrix &c) |
| adds 2 matrices C := A+B | |
| long | allocim (long n, gfmatrix &mat) |
| allocates and initializes identity gfmatrix of dimension n x n | |
| long | allocim (long n, matrix &mat) |
| allocates and initializes identity matrix of dimension n x n | |
| long | allocm (long m, long n, gfmatrix &mat) |
| allocates gfmatrix to the dimensions m x n | |
| long | allocm (long m, long n, double **&mat) |
| allocates double array to the dimensions m x n | |
| long | allocm (long m, long n, imatrix &mat) |
| allocates imatrix to the dimensions m x n | |
| long | allocm (long m, long n, matrix &mat) |
| allocates matrix to the dimensions m x n | |
| void | bdbj (double *k, const double *b, const double *d, double jac, long m, long n) |
| computes matrix product K += B^T . D . B. jac (only upper triangle components are evaluated) | |
| void | bdbjac (matrix &d, const matrix &a, const matrix &b, const matrix &c, double jac) |
| computes matrix product D += A^T . B . C . jac | |
| long | cmulm (double c, matrix &a) |
| multiplies matrix by constant A := c.A | |
| long | cmulm (const double c, const matrix &a, matrix &b) |
| multiplies matrix by constant B := c.A | |
| long | condense_matrix (matrix &sm, ivector &cu) |
| performs condesation of selected dofs of the given stiffness matrix | |
| long | condense_vector (matrix &sm, vector &nf, ivector &cu) |
| performs condesation of selected dofs of the given load vector nf according to corresponding stiffness matrix sm | |
| long | copym (const matrix &src, matrix &dest) |
| copies contents of matrix from the src to dest | |
| long | destrm (long **&mat, long m) |
| deallocates integer matrix given by 2 dimensional array | |
| long | destrm (double **&mat, long m) |
| deallocates matrix given by 2 dimensional array | |
| long | destrm (matrix &mat) |
| deallocates matrix | |
| double | det2d (const double *x, const double *y) |
| computes determinant of matrix which equals to double area of triangle given by coordinate vectors x and y | |
| double | det3d (const double *x, const double *y, const double *z) |
| computes determinant of matrix which equals to six-multiple of tetrahedron volume which is given coordinate vectors x,y,z | |
| long | detm (const matrix &a, double &det) |
| computes determinant of the matrix a, i.e. det(A) | |
| void | extractblock (double *a, double *b, long n, long nr, long nc, long fri, long fci) |
| extracts submatrix b(nr,nc) from matrix a | |
| void | extractm (matrix &a, matrix &b, long fi, long ncomp) |
| extracts squared matrix b(ncomp,ncomp) from matrix a | |
| long | fillcol (double c, long i, matrix &mat) |
| fills i-th column of matrix with given value c | |
| long | fillm (double c, matrix &mat) |
| fills contents of matrix with given value c | |
| long | fillrow (double c, long i, matrix &mat) |
| fills i-th row of matrix with given value c | |
| long | gause (const matrix &a, matrix &b, vector &r, vector &sol, double zero) |
| solves system of linear algebraic equations by the Gauss elimination (A.x = r), resulting matrix is b, resulting vector is stored in r | |
| long | gause (const matrix &a, matrix &b, vector &r, double zero) |
| solves system of linear algebraic equations by the Gauss elimination (A.x = r), resulting matrix is b, resulting vector is stored in r | |
| long | gause (const matrix &a, matrix &b, double zero) |
| performs Gauss elimination on the matrix a, result is stored in the matrix b | |
| void | gemp (double *a, double *x, double *y, long n, long m, double limit, long pivot) |
| solves system of algebraic equations by Gauss method with pivot selection | |
| void | glmatrixtransf (matrix &a, const matrix &tmat) |
| transforms tensor(matrix) a given in the global coordinate system to the local one (A_l := T^T . A_g . T) | |
| void | globloc (const double *gv, double *lv, const long *cn, long n) |
| localizes components of local(element) vector to the global(problem) vector | |
| void | glvectortransf (const vector &g, vector &l, const matrix &tmat) |
| transforms vector g given in the global coordinate system to vector l in local coordinate system (l = T^T . g) | |
| void | glvectortransfblock (vector &v, const matrix &t) |
| transforms block vector v given in the global coordinate system to the local one (v_l := T^T . v_g) (number of blocks is given by dimension of T) | |
| long | identm (matrix &mat) |
| sets contents of mat to identity matrix | |
| long | invm (const matrix &a, matrix &b, double zero) |
| inverts matrix a, i.e. computes A^{-1} | |
| void | lgmatrixtransf (matrix &a, const matrix &tmat) |
| transforms tensor(matrix) a given in the local coordinate system to the global one (A_g := T . A_l . T^T) | |
| void | lgmatrixtransfblock (matrix &a, const matrix &t) |
| transforms block matrix a given in the local coordinate system to the global one (A_g := T . A_l . T^T) (number of blocks is given by dimension of T) | |
| void | lgvectortransf (vector &g, const vector &l, const matrix &tmat) |
| transforms vector l given in the local coordinate system to vector g in global coordinate system (g = T . l) | |
| void | lgvectortransfblock (vector &v, const matrix &t) |
| transforms block vector v given in the local coordinate system to the global one (v_g := T^T . v_l) (number of blocks is given by dimension of T) | |
| void | locglob (double *gv, const double *lv, const long *cn, long n) |
| localizes components of local(element) vector to the global(problem) vector | |
| void | locvecmat (double *mat, const double *vect, const long *cn, long ci, long m, long n) |
| void | lu_full (double *a, double *x, double *y, long n, double zero, long tc) |
| solves system of algebraic equations by LU decomposition | |
| void | mat_localize (matrix &gm, matrix &lm, long *rcn, long *ccn) |
| localizes components of local matrix lm to the global one gm | |
| void | matassem_lsm (double *lsm, vector &natcoord) |
| assembles matrix of least square problem for extrapolation of nodal values from integration point values | |
| long | mixv (const matrix &a, const vector &u, double &vi, long i) |
| computes i-th component of the vector v given by product of matrix a and vector u v := A.u | |
| long | mswapc (matrix &mat, long i, long j) |
| swaps matrix columns i and j | |
| long | mswapr (matrix &mat, long i, long j) |
| swaps matrix rows i and j | |
| void | mtxm (const double *a, const double *b, double *c, long l, long m, long n) |
| multiplies two matrices C := A^T.B given by arrays | |
| long | mtxm (const matrix &a, const matrix &b, matrix &c) |
| multiplies two matrices C := A^T.B | |
| void | mtxmccr (const double *a, const double *b, double *c, long l, long m, long n) |
| multiplies transposed matrix a from right by matrix b, C := A^T . B, matrices are stored by columns | |
| void | mtxv (const double *a, const double *b, double *c, long m, long n) |
| multiplies transposed matrix a given by array from right by vector u given by array v := A^T.u | |
| long | mtxv (const matrix &a, const vector &u, vector &v) |
| multiplies transposed matrix a from right by vector u v := A^T.u | |
| void | mtxvc (const double *a, const double *b, double *c, long m, long n) |
| void | mxm (const double *a, const double *b, double *c, long l, long m, long n) |
| multiplies two matrices C := A.B given by arrays | |
| long | mxm (const matrix &a, const matrix &b, matrix &c) |
| multiplies two matrices C := A.B | |
| void | mxmt (const double *a, const double *b, double *c, long l, long m, long n) |
| multiplies two matrices C := A.B^T given by arrays | |
| long | mxmt (const matrix &a, const matrix &b, matrix &c) |
| multiplies two matrices C := A.B^T | |
| void | mxv (const double *a, const double *b, double *c, long m, long n) |
| multiplies matrix a given by array from right by vector u given by array v := A.u | |
| long | mxv (const matrix &a, const vector &u, vector &v) |
| multiplies matrix a from right by vector u v := A.u | |
| void | mxvc (const double *a, const double *b, double *c, long m, long n) |
| multiplies matrix a stored by columns from the right by vector b c := A.b | |
| void | nnj (double *m, const double *n, double jac, long mm, long nn) |
| computes matrix product M += N^T . N . jac | |
| void | nnjac (matrix &d, const matrix &a, const matrix &b, double jac) |
| computes matrix product D += A^T . B . jac | |
| void | princ_val (matrix &v, vector &pval, matrix &pvect, long ni, double err, double zero, long n, long normalize) |
| computes eigenvalues(principal values) of the given matrix v by Jacobi method | |
| long | printm (FILE *out, const gfmatrix &a) |
| prints the gfmatrix to the file | |
| long | printm (FILE *out, const matrix &a) |
| prints the matrix to the file | |
| long | printm (const matrix &a, FILE *out, int prec, int width) |
| prints the matrix to the file with the given width and precision | |
| long | readm (XFILE *in, gfmatrix &a) |
| reads gfmatrix from the file in | |
| long | readm (XFILE *in, matrix &a) |
| reads matrix from the file in | |
| long | reallocm (long m, long n, imatrix &mat) |
| reallocates imatrix to the dimensions m x n | |
| long | reallocm (long m, long n, matrix &mat) |
| reallocates matrix to the dimensions m x n | |
| void | rhsassem_lsm (double *rhs, vector &natcoord, vector &values) |
| assembles right hand side vector of least square problem for extrapolation of nodal values from integration point values | |
| void | solve_lsm (double *lsm, double *lhs, double *rhs, double zero, long n, long m) |
| solves system of equation given by least square problem for extrapolation of nodal values from integration point values | |
| long | subm (const matrix &a, const matrix &b, matrix &c) |
| substracts 2 matrices C := A-B | |
| long | tensprd (const vector &a, const vector &b, matrix &c) |
| long | tranm (matrix &a) |
| transposes matrix A := A^T | |
| long | tranm (const matrix &a, matrix &at) |
| transposes matrix A_t := A^T | |
| long | vxm (const vector &u, const matrix &a, vector &v) |
| multiplies matrix a from left by row vector u v := u.A | |
| long | vxmt (const vector &u, const matrix &a, vector &v) |
| multiplies transposed matrix a from left by row vector u v := u.A^T | |
| long | vxmxv (const double *v, const double *m, long dim, double &answer) |
| multiplies row vector v given by array with symetric matrix m given by array and column vector v, i.e. answer := (v^T).A.v | |
| long | vxmxv (const vector &v, const matrix &m, double &answer) |
| multiplies row vector v with symetric matrix m and column vector v, i.e. answer := (v^T).A.v | |
| long | vxv (const vector &u, const vector &v, matrix &a) |
| multiplies column vector u with row vector, i.e. it performs tensor product, A := u * v | |
adds 2 matrices C := A+B
The function adds matrix given by a to matrix given by b, the result is stored in c.
| a | is the structure of the first added matrix | |
| b | is the structure of the second added matrix | |
| c | is the structure of the result matrix |
Requests : a, b and c have to be same dimensions, c has to have allocated memory array for elements which is enough large to hold contents of the result.
| 0 | : on succes. | |
| 1 | : in case incompatibility sizes of a, b and c matrices. |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 729 of file matrix.cpp.
References matrix::m, matrix::n, and print_err().
| long allocim | ( | long | n, | |
| gfmatrix & | mat | |||
| ) |
allocates and initializes identity gfmatrix of dimension n x n
The function allocates memory from heap to the mat's member array a and it is initialized to be identity gfmatrix, i.e. all matrix component general functions are stat type with 0 value except of diagonal elements whose value is set to 1 .
| m | is the number of rows | |
| n | is the number of columns | |
| mat | is the structure for allocated gfmatrix |
created 27.11.2014, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 416 of file matrix.cpp.
References gfmatrix::a, gfunct::f, gfmatrix::m, gfmatrix::n, and print_err().
| long allocim | ( | long | n, | |
| matrix & | mat | |||
| ) |
allocates and initializes identity matrix of dimension n x n
The function allocates memory from heap to the mat's member array a and it is initialized to be identity matrix.
| m | is the number of rows | |
| n | is the number of columns | |
| mat | is the structure for allocated matrix |
created 27.11.2014, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 383 of file matrix.cpp.
References matrix::a, matrix::m, memset(), matrix::n, and print_err().
Referenced by outdriverm::read().
| long allocm | ( | long | m, | |
| long | n, | |||
| gfmatrix & | mat | |||
| ) |
allocates gfmatrix to the dimensions m x n
The function allocates memory from heap to the mat's member array a.
| m | is the number of rows | |
| n | is the number of columns | |
| mat | is the structure for allocated gfmatrix |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 358 of file matrix.cpp.
References gfmatrix::a, gfmatrix::m, gfmatrix::n, and print_err().
| long allocm | ( | long | m, | |
| long | n, | |||
| double **& | mat | |||
| ) |
allocates double array to the dimensions m x n
The function allocates memory from heap to the mat's member array a.
| m | is the number of rows | |
| n | is the number of columns | |
| mat | is the allocated double array |
created 20.11.2003, Ladislav Svoboda, termit@cml.fsv.cvut.cz
Definition at line 332 of file matrix.cpp.
References print_err().
| long allocm | ( | long | m, | |
| long | n, | |||
| imatrix & | mat | |||
| ) |
allocates imatrix to the dimensions m x n
The function allocates memory from heap to the mat's member array a.
| m | is the number of rows | |
| n | is the number of columns | |
| mat | is the structure for allocated imatrix |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 304 of file matrix.cpp.
References imatrix::a, imatrix::m, memset(), imatrix::n, and print_err().
| long allocm | ( | long | m, | |
| long | n, | |||
| matrix & | mat | |||
| ) |
allocates matrix to the dimensions m x n
The function allocates memory from heap to the mat's member array a.
| m | is the number of rows | |
| n | is the number of columns | |
| mat | is the structure for allocated matrix |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 275 of file matrix.cpp.
References matrix::a, matrix::m, memset(), matrix::n, and print_err().
| void bdbj | ( | double * | k, | |
| const double * | b, | |||
| const double * | d, | |||
| double | jac, | |||
| long | m, | |||
| long | n | |||
| ) |
computes matrix product K += B^T . D . B. jac (only upper triangle components are evaluated)
The function computes matrix multiplication in the form B^T . D . B . jac and the result is added to the matrix k. It is supposed that the resulting matrix k is symmetric and therefore only upper triangle components are evaluated while the remaining are assigned only.
| k | - array of resulting matrix K(n,n) = B^T . D . B . jac | |
| b | - array of matrix B(m,n) | |
| d | - array of matrix D(m,m) | |
| jac | - jacobian (constant) | |
| m | - number of rows of matrix B, number of rows/columns of matrix D | |
| n | - number of columns of matrix B |
Created by JK 12.7.1996
Definition at line 2524 of file matrix.cpp.
References ll.
computes matrix product D += A^T . B . C . jac
The function computes matrix multiplication in the form A^T . B . C . jac and the result is added to the matrix d.
| d | - resulting matrix D(n,n) += A^T . B . C . jac | |
| a | - matrix A(m,n) | |
| b | - matrix B(m,m) | |
| b | - matrix C(m,n) | |
| jac | - jacobian (constant) |
Created by JK 12.7.1996
10.5.2002
Definition at line 2587 of file matrix.cpp.
References addm(), allocm(), cmulm(), destrm(), matrix::m, mtxm(), mxm(), and matrix::n.
| long cmulm | ( | double | c, | |
| matrix & | a | |||
| ) |
multiplies matrix by constant A := c.A
The function multiplies matrix given by a with constant c, the result is stored in a.
| c | is the real number | |
| a | is the structure of the matrix, from which is multiplied |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 1145 of file matrix.cpp.
multiplies matrix by constant B := c.A
The function multiplies matrix given by a by constant c, the result is stored in b
| c | is the real number | |
| a | is the structure of the matrix, from which is multiplied | |
| b | is the structure of the result matrix |
Requests : a and b have to be same dimensions, b has to have allocated memory array for elements which is enough large to hold contents of the result.
| 0 | : on succes | |
| 1 | : in case incompatibility sizes of a and b matrices |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 1114 of file matrix.cpp.
References matrix::m, matrix::n, and print_err().
performs condesation of selected dofs of the given stiffness matrix
The function performs a condensation of selected dofs in the stiffness matrix sm.
| sm | - stiffness matrix | |
| cu | - vector with number one on the place of condensed dofs |
Created 23.5.2012, Jan Zitny, zitny.ja@gmail.com
Definition at line 2409 of file matrix.cpp.
performs condesation of selected dofs of the given load vector nf according to corresponding stiffness matrix sm
The function performs a condensation of selected dofs of the load vector according to corresponding stiffness matrix.
| sm | - stiffness matrix | |
| f | - load vector | |
| cu | - is a vector with number one on the position of condensed dofs |
Created 23.5.2012, Jan Zitny, zitny.ja@gmail.com
Definition at line 2466 of file matrix.cpp.
copies contents of matrix from the src to dest
The function copies matrix given by src to dest.
| src | is the structure of source matrix to copy | |
| dest | is the structure of destination matrix to which will be copied contents of src |
Requests : dest has to be setuped dimensions and allocated memory array for elements which is enough large to hold all contents of the matrix src.
| 0 | : on succes | |
| 1 | : in case incompatibility sizes of the src and dest matrices |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 528 of file matrix.cpp.
References matrix::a, matrix::m, matrix::n, and print_err().
| long destrm | ( | long **& | mat, | |
| long | m | |||
| ) |
deallocates integer matrix given by 2 dimensional array
The function deallocates memory occupied by long array mat.
| m | - the number of rows | |
| mat | - array |
created 5.5.2003, Ladislav Svoboda, termit@cml.fsv.cvut.cz
Definition at line 700 of file matrix.cpp.
| long destrm | ( | double **& | mat, | |
| long | m | |||
| ) |
deallocates matrix given by 2 dimensional array
The function deallocates memory occupied by double array mat.
| m | - the number of rows | |
| mat | - array |
created 5.5.2003, Ladislav Svoboda, termit@cml.fsv.cvut.cz
Definition at line 678 of file matrix.cpp.
| long destrm | ( | matrix & | mat | ) |
deallocates matrix
The function deallocates memory occupied by mat's member array a.
| mat | is the structure for the allocated matrix |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 653 of file matrix.cpp.
| double det2d | ( | const double * | x, | |
| const double * | y | |||
| ) |
computes determinant of matrix which equals to double area of triangle given by coordinate vectors x and y
The function computes determinant of the matrix
| 1 x1 y1 | | 1 x2 y2 | | 1 x3 y3 |
which is equal to double area of the triangle given by vectors of vertex coordinates.
| x | - array of x-coordinates of the triangle verteces | |
| y | - array of y-coordinates of the triangle verteces |
Created by JK, 24.8.2001
Definition at line 3026 of file matrix.cpp.
| double det3d | ( | const double * | x, | |
| const double * | y, | |||
| const double * | z | |||
| ) |
computes determinant of matrix which equals to six-multiple of tetrahedron volume which is given coordinate vectors x,y,z
The function computes determinant of the matrix
| 1 x1 y1 z1 | | 1 x2 y2 z2 | | 1 x3 y3 z3 | | 1 x4 y4 z4 |
which is equal to six-multiple of the volume of the tetrahedron whose vertices are given by coordinate vectors x,y,z.
| x | - vector of x-coordinates of tetrahedron vertices | |
| y | - vector of y-coordinates of tetrahedron vertices | |
| z | - vector of z-coordinates of tetrahedron vertices |
Created by JK, 24.8.2001, Modified by JK 23.9.2011
Definition at line 3054 of file matrix.cpp.
| long detm | ( | const matrix & | a, | |
| double & | det | |||
| ) |
computes determinant of the matrix a, i.e. det(A)
The function solves determinant of the matrix a by the Gauss elimination, the result is stored in the det, contents of the a is not changed
| a | is the structure of the matrix, whose determinant will being solved | |
| det | is the variable type double |
Requests : a has to have the same number of the rows and columns
| 0 | : on succes | |
| 1 | : in case incompatibility sizes of the A matrix |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 2187 of file matrix.cpp.
References gause(), matrix::m, matrix::n, and print_err().
| void extractblock | ( | double * | a, | |
| double * | b, | |||
| long | n, | |||
| long | nr, | |||
| long | nc, | |||
| long | fri, | |||
| long | fci | |||
| ) |
extracts submatrix b(nr,nc) from matrix a
The function picks up submatrix b from the original matrix a
| a | - array of original matrix of type A(n,n) | |
| b | - array of selected submatrix B(nr,nc) | |
| n | - number of columns in matrix A | |
| nr | - number of rows in the matrix B | |
| nc | - number of columns in the matrix B | |
| fri,fci | - first row and column indices of submatrix in the original matrix |
Created by JK, 9.12.2004
Definition at line 3609 of file matrix.cpp.
extracts squared matrix b(ncomp,ncomp) from matrix a
The function extracts a squared matrix with ncomp components from matrix b and put them into matrix a.
| a | - matrix containing extracted components | |
| b | - matrix from where components are extracted | |
| fi | - first index | |
| ncomp | - number of components |
Created by JK 25.2.2004
Definition at line 3584 of file matrix.cpp.
| long fillcol | ( | double | c, | |
| long | i, | |||
| matrix & | mat | |||
| ) |
fills i-th column of matrix with given value c
The function fills mat's column i with the constant c.
| c | is constant, which will be used for filling entire matrix | |
| i | is index of given column | |
| mat | is the structure for the allocated matrix |
created 22.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 600 of file matrix.cpp.
References matrix::m, matrix::n, and print_err().
Referenced by mohrcoulomb::cutting_plane(), and mohrcoulomb::mc_msurf_cp().
| long fillm | ( | double | c, | |
| matrix & | mat | |||
| ) |
fills contents of matrix with given value c
The function fills memory of mat's member array a with constant c.
| c | is constant, which will be used for filling entire matrix | |
| mat | is the structure for the allocated matrix |
created 22.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 552 of file matrix.cpp.
| long fillrow | ( | double | c, | |
| long | i, | |||
| matrix & | mat | |||
| ) |
fills i-th row of matrix with given value c
The function fills mat's row i with the constant c.
| c | is constant, which will be used for filling entire matrix | |
| i | is index of given row | |
| mat | is the structure for the allocated matrix |
created 22.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 573 of file matrix.cpp.
References matrix::m, matrix::n, and print_err().
Referenced by mohrcoulomb::cutting_plane(), and mohrcoulomb::mc_msurf_cp().
solves system of linear algebraic equations by the Gauss elimination (A.x = r), resulting matrix is b, resulting vector is stored in r
The function solves system of linear algebraic equtions by the Gauss elimination method. The system of equation is given by matrix a, the resulting eliminated matrix is stored in b, solution is stored in the vector sol.
| a | - system matrix | |
| b | - resulting eliminated matrix | |
| r | - righthand side vector | |
| sol | - solution vector | |
| zero | - computer zero |
Requests : a has to have the same number of the rows and columns b has to have same dimensions as the matrix A b has to have allocated memory array for the elements which is enough large to hold contents of the result. r has to have same dimension as number of rows in the matrix a sol has to have same dimension as the vector r sol has to have allocated memory array for the elements which is enough large to hold contents of the result.
| 0 | : on succes | |
| 1 | : in case incompatibility sizes of a and b matrices | |
| 2 | : in case dimension of the matrix a < 2 | |
| 3 | : in case some diagonal elements is to small or zero the value which is assumed as zero is driven by macro USREPS, which is defined in the matrix.h |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 1883 of file matrix.cpp.
References matrix::m, vector::n, matrix::n, and print_err().
solves system of linear algebraic equations by the Gauss elimination (A.x = r), resulting matrix is b, resulting vector is stored in r
The function solves the system of equtions by the Gauss elimination. A.x = r The resulting eliminated matrix is stored b, solution vector x is stored in the vector r.
| a | - the system equation matrix | |
| b | - the resulting eliminated matrix | |
| r | - the righthand side vector/ result vector | |
| zero | - computer zero |
Requests : a has to have the same number of the rows and columns b has to have same dimensions as the matrix a b has to have allocated memory array for the elements which is enough large to hold contents of the result. r has to have same dimension as number of rows in the matrix a
| 0 | : on succes | |
| 1 | : in case incompatibility sizes of a and b matrices | |
| 2 | : in case dimension of the matrix a < 2 | |
| 3 | : in case some diagonal elements is to small or zero the value which is assumed as zero is driven by macro USREPS, which is defined in the matrix.h |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 1770 of file matrix.cpp.
References matrix::m, vector::n, matrix::n, and print_err().
performs Gauss elimination on the matrix a, result is stored in the matrix b
The function performs Gauss elimination on the matrix a, the result is stored in the matrix b.
| a | - elimanted matrix | |
| b | - the resulting matrix | |
| zero | - computer zero |
Requests : a has to have the same number of the rows and columns b has to have same dimensions as the matrix a b has to have allocated memory array for the elements which is enough large to hold contents of the result.
| 0 | : on succes | |
| 1 | : in case incompatibility sizes of a and b matrices | |
| 2 | : in case dimension of the matrix a < 2 | |
| 3 | : in case some diagonal elements is to small or zero the value which is assumed as zero is driven by macro USREPS, which is defined in the matrix.h |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 1676 of file matrix.cpp.
References matrix::m, matrix::n, and print_err().
| void gemp | ( | double * | a, | |
| double * | x, | |||
| double * | y, | |||
| long | n, | |||
| long | m, | |||
| double | limit, | |||
| long | pivot | |||
| ) |
solves system of algebraic equations by Gauss method with pivot selection
Function performes Gaussian elimination on matrix a. Matrix is stored as dense matrix. x and y are also dense matrices, stored by rows. right hand side vectors and vectors of unknowns are columns!
| a | - array containing matrix of the system | |
| x | - array containing vectors of unknowns | |
| y | - array containing right hand sides | |
| n | - order of matrix | |
| m | - number of right hand sides | |
| limit | - computer zero | |
| pivot=1 | - pivot is searched only when there is zero on the diagonal pivot=2 - pivot is searched every time |
created 23.7.2001
Definition at line 3221 of file matrix.cpp.
References f, and print_err().
transforms tensor(matrix) a given in the global coordinate system to the local one (A_l := T^T . A_g . T)
The function transforms matrix a of element from global problem coordinate system to local element coordinate system A_l = T^T A_g T.
The transformation matrix T has to be in the form x_g = T x_l, the transormed matrix is stored in the matrix a.
| a | - matrix of element A_g (input)/resulting transformed matrix A_l(output) | |
| tmat | - transformation matrix T |
Created by JK, 28.11.2006
Definition at line 2723 of file matrix.cpp.
| void globloc | ( | const double * | gv, | |
| double * | lv, | |||
| const long * | cn, | |||
| long | n | |||
| ) |
localizes components of local(element) vector to the global(problem) vector
The function localizes components of global vector gv to the local vector lv.
| gv | - array of global vector (vector of the whole problem/structure) | |
| lv | - array of local vector (vector of one element) | |
| cn | - array containing code numbers | |
| n | - number of components in the local vector |
Created by JK
Definition at line 2954 of file matrix.cpp.
transforms vector g given in the global coordinate system to vector l in local coordinate system (l = T^T . g)
The function transforms vector of element from global problem coordinate system to local element coordinate system l = T^T g
The transformation matrix T has to be in the form x_g = T x_l
| g | - vector in the global problem coordinate system | |
| l | - vector in the local element coordinate system | |
| tmat | - transformation matrix T |
Created by JK, 28.11.2006
Definition at line 2700 of file matrix.cpp.
transforms block vector v given in the global coordinate system to the local one (v_l := T^T . v_g) (number of blocks is given by dimension of T)
The function transforms vector v expressed in global coordinate system to vector expressed in local coordinate system v_l = T^T . v_g
The dimension (dim) of the problem is determined from the size of the transformation matrix T and vector v may contain several blocks with size (dim).
| v | - global vector v_g (during input), local vector v_l (during output) | |
| t | - transformation matrix T |
Created by JK,
Definition at line 2821 of file matrix.cpp.
| long identm | ( | matrix & | mat | ) |
sets contents of mat to identity matrix
The function sets the given matrix to the identity one..
| mat | is the structure for the allocated matrix |
Created 11.12.2014, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 625 of file matrix.cpp.
inverts matrix a, i.e. computes A^{-1}
The function inverts matrix A by the Gauss elimination, i.e. B := A^{-1}. The result is stored in the matrix a, contents of the a is not changed.
| a | - inverteted matrix | |
| b | - resulting matrix |
Requests : a has to have the same number of the rows and columns b has to have same dimensions as the matrix a b has to have allocated memory array for the elements which is enough large to hold contents of the result.
| 0 | : on succes | |
| 1 | : in case incompatibility sizes of a and b matrices | |
| 2 | : in case dimension of the matrix a < 2 |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 1987 of file matrix.cpp.
References matrix::m, matrix::n, and print_err().
transforms tensor(matrix) a given in the local coordinate system to the global one (A_g := T . A_l . T^T)
The function transforms matrix a of element from local element coordinate system to global problem coordinate system A_g = T A_l T^T.
The transformation matrix T has to be in the form x_g = T x_l, the transformed matrix is stored in the matrix a
| a | - matrix of element A_l(input)/resulting transformed matrix A_g(output) | |
| tmat | - transformation matrix T |
Created by JK, 28.11.2006
Definition at line 2747 of file matrix.cpp.
transforms block matrix a given in the local coordinate system to the global one (A_g := T . A_l . T^T) (number of blocks is given by dimension of T)
The function transforms matrix expressed in local coordinate system to matrix expressed in global coordinate system A_g = T . A_l . T^T
The dimension (dim) of the problem is determined from the size of the transformation matrix T. The matrix A may contain several blocks with size (dim,dim)
| a | - local matrix (during input), global matrix (during output) | |
| t | - transformation matrix |
Created by JK,
Definition at line 2771 of file matrix.cpp.
transforms vector l given in the local coordinate system to vector g in global coordinate system (g = T . l)
The function transforms vector of element from local element coordinate system to global problem coordinate system g = T l
The transformation matrix has to be in the form x_g = T x_l
| g | - vector in the global problem coordinate system | |
| l | - vector in the local element coordinate system | |
| tmat | - transformation matrix T |
Created by JK, 28.11.2006
Definition at line 2680 of file matrix.cpp.
References mxv().
transforms block vector v given in the local coordinate system to the global one (v_g := T^T . v_l) (number of blocks is given by dimension of T)
The function transforms vector v expressed in local coordinate system to vector expressed in global coordinate system v_g = T * v_l
The dimension (dim) of the problem is determined from the size of the transformation matrix T and vector v may contain several blocks with size (dim)
| v | - local vector v_l (during input), global vector v_g (during output) | |
| t | - transformation matrix T |
Created by JK,
Definition at line 2876 of file matrix.cpp.
| void locglob | ( | double * | gv, | |
| const double * | lv, | |||
| const long * | cn, | |||
| long | n | |||
| ) |
localizes components of local(element) vector to the global(problem) vector
The function localizes components of local vector lv to the global vector gv.
| gv | - array of global vector (vector of the whole problem/structure) | |
| lv | - array of local vector (vector of one element) | |
| cn | - array containing code numbers | |
| n | - number of components in the local vector |
Created by JK 25.7.2001
Definition at line 2928 of file matrix.cpp.
| void locvecmat | ( | double * | mat, | |
| const double * | vect, | |||
| const long * | cn, | |||
| long | ci, | |||
| long | m, | |||
| long | n | |||
| ) |
Definition at line 2970 of file matrix.cpp.
| void lu_full | ( | double * | a, | |
| double * | x, | |||
| double * | y, | |||
| long | n, | |||
| double | zero, | |||
| long | tc | |||
| ) |
solves system of algebraic equations by LU decomposition
function decomposes matrix A into L.U form
| a | - matrix | |
| x | - left hand side | |
| y | - right hand side | |
| n | - number of rows/columns of matrix | |
| zero | - computer zero | |
| tc | - type of computation |
tc = 1 - decomposition of matrix and back substitution tc = 2 - decomposition of matrix tc = 3 - back substitution
JK, 6.1.2000
Definition at line 3398 of file matrix.cpp.
References print_err().
localizes components of local matrix lm to the global one gm
The function localizes components of local matrix lm to the global matrix gm.
| gv | - global matrix (matrix of the whole problem/structure) | |
| lv | - local matrix (vmatrix of one element) | |
| rcn | - array containing code numbers for matrix rows | |
| ccn | - array containing code numbers for matrix columns |
Created by JK 25.7.2001
Definition at line 2993 of file matrix.cpp.
| void matassem_lsm | ( | double * | lsm, | |
| vector & | natcoord | |||
| ) |
assembles matrix of least square problem for extrapolation of nodal values from integration point values
The function assembles matrix of least square problem which is used in extrapolation of values from integration points to nodes.
| lsm | - array containing matrix | |
| natcoord | - vector containing natural coordinates of integration points |
Created by JK, 10.5.2002
Definition at line 3464 of file matrix.cpp.
References vector::n.
computes i-th component of the vector v given by product of matrix a and vector u v := A.u
The function computes i-th component of the vector v given by product of matrix a and vector u v := A.u
| a | - structure with the multiplied matrix | |
| u | - structure with the column vector | |
| vi | - i-th component of the resulting vector v | |
| i | - index of required vector component |
Requests : u ,a have to be following dimensions a (m,n), u (n)
| 0 | : on succes | |
| 1 | : in case incompatibility sizes of the matrix a and vector u. |
created 17.12.2014, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 1424 of file matrix.cpp.
References matrix::m, vector::n, matrix::n, and print_err().
Referenced by gl_comp_engvectortransf().
| long mswapc | ( | matrix & | mat, | |
| long | i, | |||
| long | j | |||
| ) |
swaps matrix columns i and j
The function swaps mat's columns i and j
| mat | is the structure of the matrix | |
| i | number of the first column which will be swapped | |
| j | number of the second column which will be swapped |
created 22.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 2360 of file matrix.cpp.
References matrix::m.
| long mswapr | ( | matrix & | mat, | |
| long | i, | |||
| long | j | |||
| ) |
swaps matrix rows i and j
The function swaps mat's rows i and j
| mat | is the structure of the matrix | |
| i | number of the first row which will be swapped | |
| j | number of the second row which will be swapped |
created 22.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 2386 of file matrix.cpp.
References matrix::n.
| void mtxm | ( | const double * | a, | |
| const double * | b, | |||
| double * | c, | |||
| long | l, | |||
| long | m, | |||
| long | n | |||
| ) |
multiplies two matrices C := A^T.B given by arrays
The function multiplies transposed matrix given by 1D double array a from right with matrix given by 1D double array b, the result is stored in c A[l,m]^T . B[m,n] = C[l,n]
| a | is the 1D double array of first matrix, from which is multiplied | |
| b | is the 1D double array of the second=multiplicating matrix | |
| c | is the 1D double array of the result matrix |
Requests : a, b and c have to be following dimensions a (l*m), b (m*n), c (l*n)
| 0 | : always |
created 13.4.1998 by JK
Definition at line 1044 of file matrix.cpp.
multiplies two matrices C := A^T.B
The function multiplies transposed matrix given by a from right with matrix given by b, the result is stored in c
| a | is the structure of the matrix, from which is multiplied | |
| b | is the structure of the multiplicating matrix | |
| c | is the structure of the result matrix |
Requests : a, b and c have to be following dimensions a (n,m), b (n,p), c (m,p) c has to have allocated memory array for elements which is enough large to hold contents of the result.
| 0 | : on succes | |
| 1 | : in case incompatibility sizes of a, b and c matrices |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 1004 of file matrix.cpp.
References matrix::m, matrix::n, and print_err().
| void mtxmccr | ( | const double * | a, | |
| const double * | b, | |||
| double * | c, | |||
| long | l, | |||
| long | m, | |||
| long | n | |||
| ) |
multiplies transposed matrix a from right by matrix b, C := A^T . B, matrices are stored by columns
The function computes matrix product C := A^T . B, all matrices are stored by columns.
| a | - array with matrix A(m,n) | |
| b | - array with matrix B(m,p) | |
| c | - array with matrix C(n,p) | |
| l | - | |
| m | - | |
| n | - |
Created by JK, 7.12.1998
Definition at line 1077 of file matrix.cpp.
| void mtxv | ( | const double * | a, | |
| const double * | b, | |||
| double * | c, | |||
| long | m, | |||
| long | n | |||
| ) |
multiplies transposed matrix a given by array from right by vector u given by array v := A^T.u
The function multiplies transposed matrix by vector from right, i.e. c:= A^T.b.
| a(m,n) | - matrix A given by array | |
| b(m,1) | - vector b given by array | |
| c(n,1) | - resulting vector c given by array | |
| m | - number of matrix rows | |
| n | - number of matrix columns, number of vector components |
Created by JK, 19.2.1997
Definition at line 1495 of file matrix.cpp.
multiplies transposed matrix a from right by vector u v := A^T.u
The function multiplies transposed matrix given by a with column vector u, the result is stored in column vector v.
| a | is the structure of the matrix, which is multiplied | |
| u | is the structure of the column vector | |
| v | is the structure of the result column vector |
Requests : u ,a and v have to be following dimensions u (m), a (n,m), c (n) v has to have allocated memory array for the elements which is enough large to hold contents of the result.
| 0 | : on succes | |
| 1 | : in case incompatibility sizes of the matrix a |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 1463 of file matrix.cpp.
References matrix::m, matrix::n, vector::n, and print_err().
| void mtxvc | ( | const double * | a, | |
| const double * | b, | |||
| double * | c, | |||
| long | m, | |||
| long | n | |||
| ) |
The function multiplies transposed matrix a by the vector from right, i.e. c:= A^T.b, The matrix a is stored by columns.
| a | - array with matrix a(m,n) stored by columns | |
| b | - array with vector b(m) | |
| m | - number of matrix rows / vector b components | |
| n | - number of matrix columns / vector c components | |
| c | - array with vector c(n) |
Created 7.12.1998 by JK
Definition at line 1524 of file matrix.cpp.
| void mxm | ( | const double * | a, | |
| const double * | b, | |||
| double * | c, | |||
| long | l, | |||
| long | m, | |||
| long | n | |||
| ) |
multiplies two matrices C := A.B given by arrays
The function multiplies matrix given by 1D double array a from right with matrix given by 1D double array b, the result is stored in 1D double array c. A[l,m] . B[m,n] = C[l,n]
| a | is the 1D double array of first matrix, from which is multiplied | |
| b | is the 1D double array of the second=multiplicating matrix | |
| c | is the 1D double array of the result matrix |
Requests : a, b and c have to be following dimensions a (l*m), b (m*n), c (l*n)
| 0 | : always |
created 19.2.1997 by JK
Definition at line 880 of file matrix.cpp.
multiplies two matrices C := A.B
The function multiplies matrix given by a from right with matrix given by b, the result is stored in c
| a | is the structure of the matrix, from which is multiplied | |
| b | is the structure of the multiplicating matrix | |
| c | is the structure of the result matrix |
Requests : a, b and c have to be following dimensions a (m,n), b (n,p), c (m,p) c has to have allocated memory array for elements which is enough large to hold contents of the result.
| 0 | : on succes | |
| 1 | : in case incompatibility sizes of a, b and c matrices |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 840 of file matrix.cpp.
References matrix::m, matrix::n, and print_err().
| void mxmt | ( | const double * | a, | |
| const double * | b, | |||
| double * | c, | |||
| long | l, | |||
| long | m, | |||
| long | n | |||
| ) |
multiplies two matrices C := A.B^T given by arrays
The function multiplies matrix given by 1D double array a from right with transposed matrix given by 1D double array b, the result is stored in c A[l,m] . B[m,n]^T = C[l,n]
| a | is the 1D double array of first matrix, from which is multiplied | |
| b | is the 1D double array of the second=multiplicating matrix | |
| c | is the 1D double array of the result matrix |
Requests : a, b and c have to be following dimensions a (l*m), b (m*n), c (l*n)
| 0 | : always |
created 9.11.1999 by JK
Definition at line 964 of file matrix.cpp.
multiplies two matrices C := A.B^T
The function multiplies matrix given by a from right with transposed matrix given by b, the result is stored in c
| a | is the structure of the matrix, from which is multiplied | |
| b | is the structure of the multiplicating matrix | |
| c | is the structure of the result matrix |
Requests : a, b and c have to be following dimensions a (m,n), b (p,n), c (m,p) c has to have allocated memory array for elements which is enough large to hold contents of the result.
| 0 | : on succes | |
| 1 | : in case incompatibility sizes of a, b and c matrices |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 924 of file matrix.cpp.
References matrix::m, matrix::n, and print_err().
| void mxv | ( | const double * | a, | |
| const double * | b, | |||
| double * | c, | |||
| long | m, | |||
| long | n | |||
| ) |
multiplies matrix a given by array from right by vector u given by array v := A.u
funkce nasobi matici A(m,n) s vektorem b(n,1) A(m,n).b(n,1)=c(m,1)
| c | - vysledny vektor | |
| a | - matice A | |
| b | - vektor b | |
| m | ||
| n | - rozmer matice A |
created 19.2.1997
Definition at line 1359 of file matrix.cpp.
multiplies matrix a from right by vector u v := A.u
The function multiplies matrix given by a with column vector u, the result is stored in column vector v.
| a | is the structure of the matrix, which is multiplied | |
| u | is the structure of the column vector | |
| v | is the structure of the result column vector |
Requests : u ,a and v have to be following dimensions v (m), a (m,n), u (n) v has to have allocated memory array for the elements which is enough large to hold contents of the result.
| 0 | : on succes | |
| 1 | : in case incompatibility sizes of the matrix a |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 1326 of file matrix.cpp.
References matrix::m, vector::n, matrix::n, and print_err().
| void mxvc | ( | const double * | a, | |
| const double * | b, | |||
| double * | c, | |||
| long | m, | |||
| long | n | |||
| ) |
multiplies matrix a stored by columns from the right by vector b c := A.b
The function multiplies matrix a stored by columns in the array by the vector b stored in array. The resulting vector is stored in the array c. (c := A.b)
| a | - array with matrix components stored by columns | |
| b | - array with components of vector b | |
| m | - the number of matrix rows | |
| n | - the number of matrix/vector columns | |
| c | - array of the resulting vector |
Created 15.12.1998 by Jaroslav Kruis
Definition at line 1390 of file matrix.cpp.
| void nnj | ( | double * | m, | |
| const double * | n, | |||
| double | jac, | |||
| long | mm, | |||
| long | nn | |||
| ) |
computes matrix product M += N^T . N . jac
The function evaluates matrix product N^T . N . jac, the result is added to the matrix m.
| m | - array of resulting matrix M += N^T . N. jac | |
| n | - array of matrix N | |
| jac | - jacobian (constant) | |
| mm | - number of rows of matrix n | |
| nn | - number of columns of matrix n |
Created by JK 9.7.2001
Definition at line 2614 of file matrix.cpp.
References ll.
computes matrix product D += A^T . B . jac
The function evaluates matrix product A^T . B . jac, the result is added to the matrix d.
| d | - resulting matrix D += A^T . B . jac | |
| a | - matrix A | |
| b | - matrix B | |
| jac | - jacobian (constant) |
Created by JK 10.5.2002
Definition at line 2655 of file matrix.cpp.
References addm(), allocm(), cmulm(), destrm(), mtxm(), and matrix::n.
| void princ_val | ( | matrix & | v, | |
| vector & | pval, | |||
| matrix & | pvect, | |||
| long | ni, | |||
| double | err, | |||
| double | zero, | |||
| long | n, | |||
| long | normalize | |||
| ) |
computes eigenvalues(principal values) of the given matrix v by Jacobi method
Function computes principal values and vectors of tensors of 2D and 3D problems .
| v | - matrix of second or third order tensor | |
| pval | - vector of sorted principal values (from min to max) | |
| pvect | - matrix of principal direction vectors stored in columns | |
| ni | - number of iterations in jacobi method | |
| err | - required error of Jacobi method | |
| zero | - computer zero for explicit computation method | |
| n | - order of problem (only 2 for 2D problem and 3 for 3D problem are supported) | |
| normalize | - switch for normalizing of matrix in Jacobi method |
Created 29.8.2001 Modified 17.8.2007 TKo (added normalizing in Jacobi method)
Definition at line 3108 of file matrix.cpp.
References vector::a, jacobi(), mswapc(), and print_err().
| long printm | ( | FILE * | out, | |
| const gfmatrix & | a | |||
| ) |
prints the gfmatrix to the file
The function prints out the contents of the matrix a to the file given by out.
| out | is the structure with opened file for matrix output | |
| a | is the structure of the matrix which is printed |
Created 10.12.2014, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 2332 of file matrix.cpp.
References gfmatrix::m, and gfmatrix::n.
| long printm | ( | FILE * | out, | |
| const matrix & | a | |||
| ) |
prints the matrix to the file
The function prints out the contents of the matrix a to the file given by out.
| out | is the structure with opened file for matrix output | |
| a | is the structure of the matrix which is printed |
created 10.12.2014, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 2307 of file matrix.cpp.
| long printm | ( | const matrix & | a, | |
| FILE * | out, | |||
| int | prec, | |||
| int | width | |||
| ) |
prints the matrix to the file with the given width and precision
The function prints out the contents of the matrix a to the stdout file, in precision 3 digits, width of the number is 11 optionally, can be specified file to print, precision and the field width.
| a | is the structure of the matrix which is printed |
Optionally :
| out | is the structure with opened file for matrix output (default is stdout) | |
| prec | is desired precision of the matrix elements (default is 3) | |
| width | is desired width of the matrix elements on the output (default is 11) |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 2282 of file matrix.cpp.
reads gfmatrix from the file in
The function reads the contents of the gfmatrix a from the opened text file.
| in | - pointer to the opened XFILE | |
| a | - is the structure of the matrix which is read |
Created 10.12.2014, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 2251 of file matrix.cpp.
References gfmatrix::m, and gfmatrix::n.
reads matrix from the file in
The function reads the contents of the matrix a from the opened text file.
| in | - pointer to the opened XFILE | |
| a | - is the structure of the matrix which is read |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 13.10.2014, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 2227 of file matrix.cpp.
| long reallocm | ( | long | m, | |
| long | n, | |||
| imatrix & | mat | |||
| ) |
reallocates imatrix to the dimensions m x n
The function reallocates memory for the member array a. If the memory requirements are less or equal to the allocated one, the memory is not reallocated and the matrix dimensions are changed only.
| m | is the number of rows | |
| n | is the number of columns | |
| mat | is the structure for allocated imatrix |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 486 of file matrix.cpp.
References imatrix::a, imatrix::m, memset(), imatrix::n, and print_err().
| long reallocm | ( | long | m, | |
| long | n, | |||
| matrix & | mat | |||
| ) |
reallocates matrix to the dimensions m x n
The function reallocates memory for the member array a. If the memory requirements are less or equal to the allocated one, the memory is not reallocated and the matrix dimensions are changed only.
| m | is the number of rows | |
| n | is the number of columns | |
| mat | is the structure for allocated matrix |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 448 of file matrix.cpp.
References matrix::a, matrix::m, memset(), matrix::n, and print_err().
assembles right hand side vector of least square problem for extrapolation of nodal values from integration point values
The function assembles right hand side of least square problems. It is used in extrapolation of values from integration points to nodes.
| rhs | - array containing matrix | |
| natcoord | - vector of natural coordinates of integration points | |
| values | - vector of values in integration point |
Created by JK, 10.5.2002
Definition at line 3495 of file matrix.cpp.
References vector::n.
| void solve_lsm | ( | double * | lsm, | |
| double * | lhs, | |||
| double * | rhs, | |||
| double | zero, | |||
| long | n, | |||
| long | m | |||
| ) |
solves system of equation given by least square problem for extrapolation of nodal values from integration point values
The function solves least square problems. It is used in extrapolation of values from integration points to nodes
| lsm | - array of matrix of least square problem | |
| lhs | - array of left hand side (contains unknown coefficients) | |
| rhs | - array of right hand side | |
| zero | - computer zero | |
| n | - number of rows/columns of matrix | |
| m | - number of values |
Created by JK, 10.5.2002
Definition at line 3536 of file matrix.cpp.
References lu_full().
substracts 2 matrices C := A-B
The function subtracts matrix given by b from matrix given by a, the result is stored in the c
| a | is the structure of the matrix, from which is subtracted | |
| b | is the structure of subtracted matrix | |
| c | is the structure of the result matrix |
Requests : a, b and c have to be same dimensions, c has to have allocated memory array for elements which is enough large to hold contents of the result.
| 0 | : on succes | |
| 1 | : in case incompatibility sizes of a, b and c matrices |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 765 of file matrix.cpp.
References matrix::m, matrix::n, and print_err().
The function performs tensor product of two vectors.
| a | is the structure of the first vector | |
| b | is the structure of the second vector | |
| c | is the structure of the result matrix |
Requests : c has to have allocated memory array for elements which is enough large to hold contents of the result.
| 0 | : on succes | |
| 1 | : in case incompatibility sizes of a, b and c matrices |
created
Definition at line 801 of file matrix.cpp.
References matrix::m, matrix::n, vector::n, and print_err().
| long tranm | ( | matrix & | a | ) |
transposes matrix A := A^T
The function transposes matrix given by a, the result is stored in a.
| a | is the structure of the matrix, from which is transposed |
| always | zero |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 1205 of file matrix.cpp.
transposes matrix A_t := A^T
The function transposes matrix given by a, the result is stored in at
| a | is the structure of the matrix, from which is transposed | |
| at | is the structure of the result matrix |
Requests : a and at have to be same dimensions, at has to have allocated memory array for elements which is enough large to hold contents of the result.
| 0 | : on succes | |
| 1 | : in case incompatibility sizes of a and at matrices |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 1175 of file matrix.cpp.
References matrix::m, matrix::n, and print_err().
multiplies matrix a from left by row vector u v := u.A
The function multiplies row vector given by u with matrix given by a, the result is stored in row vector v
| u | is the structure of the row vector | |
| a | is the structure of the matrix, which is multiplied | |
| v | is the structure of the result row vector |
Requests : u ,a and v have to be following dimensions u (m), a (m,n), c (n) v has to have allocated memory array for elements which is enough large to hold contents of the result.
| 0 | : on succes | |
| 1 | : in case incompatibility sizes of the matrix a |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 1243 of file matrix.cpp.
References matrix::m, matrix::n, vector::n, and print_err().
multiplies transposed matrix a from left by row vector u v := u.A^T
The function multiplies row vector given by u with transposed matrix given by a, the result is stored in row vector v.
| u | is the structure of the row vector | |
| a | is the structure of the matrix, which is multiplied | |
| v | is the structure of the result row vector |
Requests : u ,a and v have to be following dimensions u (m), a (n,m), c (n) v has to have allocated memory array for elements which is enough large to hold contents of the result.
| 0 | : on succes | |
| 1 | : in case incompatibility sizes of the matrix a |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 1284 of file matrix.cpp.
References matrix::m, matrix::n, vector::n, and print_err().
| long vxmxv | ( | const double * | v, | |
| const double * | m, | |||
| long | dim, | |||
| double & | answer | |||
| ) |
multiplies row vector v given by array with symetric matrix m given by array and column vector v, i.e. answer := (v^T).A.v
The function multiplies row vector given by "v" with symetric matrix given by "m" with column vector given by "v" -> v.m.v , the result is stored in answer.
| v | is pointer on double array | |
| m | is pointer on double array | |
| dim | is size of "v" & "m" | |
| answer | is the real number |
Requests : "v" and "m" have to be following dimensions: v (dim), m (dim,dim)
| 0 | : always |
created 25.10.2002, Ladislav Svoboda, termit@cml.fsv.cvut.cz
Definition at line 1635 of file matrix.cpp.
multiplies row vector v with symetric matrix m and column vector v, i.e. answer := (v^T).A.v
The function multiplies row vector given by "v" with symetric matrix given by "m" with column vector given by "v" -> v.m.v , the result is stored in answer.
| v | is the structure of the row vector | |
| m | is the structure of the matrix | |
| answer | is the real number |
Requests : "v" and "m" have to be following dimensions: v (n), m (n,n)
| 0 | : on succes | |
| 1 | : in case incompatibility sizes of the matrix a |
created 25.10.2002, Ladislav Svoboda, termit@cml.fsv.cvut.cz
Definition at line 1595 of file matrix.cpp.
References matrix::m, matrix::n, vector::n, and print_err().
multiplies column vector u with row vector, i.e. it performs tensor product, A := u * v
The function multiplies column vector given by u with row vector given by v, the result is stored in matrix a.
| u | is the structure of the column vector | |
| v | is the structure of the row vector | |
| a | is the structure of the result matrix |
Requests : u ,a and v have to be following dimensions u (m), v(n), a(m,n) a has to have allocated memory array for elements which is enough large to hold contents of the result.
| 0 | : on succes | |
| 1 | : in case incompatibility sizes of the matrix a |
created 29.5.2000, Tomas Koudelka, koudelka@cml.fsv.cvut.cz modified 9.5.2001, Tomas Koudelka, koudelka@cml.fsv.cvut.cz
Definition at line 1560 of file matrix.cpp.
References matrix::m, matrix::n, vector::n, and print_err().
1.6.2