Special routines
Here are the most important special routines on MATRIXobjects:
The first routine allows to interchange columns:
- NAME: change_column_ij
- SYNOPSIS: INT change_column_ij(OP mat, INT i,j)
- DESCRIPTION: interchanges in the MATRIXobject
mat the columns i,j.
The second routine allows to interchange rows:
- NAME: change_row_ij
- SYNOPSIS: INT change_row_ij(OP mat, INT i,j)
- DESCRIPTION: interchanges in the MATRIXobject mat the rows i,j.
Columns can be deleted:
- NAME: delete_column_matrix
- SYNOPSIS:
INT delete_column_matrix(OP mat, INT i, OP result)
- DESCRIPTION: deletes in the MATRIXobject mat the column i.
The result is the MATRIXobject result. mat and result may be the
same object.
Rows can be deleted:
- NAME: delete_row_matrix
- SYNOPSIS:
INT delete_row_matrix(OP mat, INT i, OP result)
- DESCRIPTION: deletes in the MATRIXobject mat the row i. The
result is the MATRIXobject result. mat and result may be the
same object.
Determinants can be evaluated:
- NAME: det_mat_imm
- SYNOPSIS: INT det_mat_imm(OP mat,erg)
- DESCRIPTION: computes the determinant of the MATRIX mat, it uses the
definition as an alternating sum. You should use it if
there is no div operation defined for the entries. e. g.
POLYNOMobjects as entries.
Another routine for the evaluation of the determinant:
- NAME: det_mat_tri
- SYNOPSIS: INT det_mat_tri(OP mat,erg)
- DESCRIPTION: computes the determinant of the MATRIX mat, it uses the
the triangulation of the matrix, so you must be careful with non
scalar entries, which allow no division.
Here is a routine for the immanants (= generalized matrix functions):
- NAME: immanente_matrix
- SYNOPSIS: INT immanente_matrix(OP mat,part,res)
- DESCRIPTION: computes the immanente labeled by the PARTITIONobject
part of the MATRIXobject mat. The result is stored in res.
The Kronecker product can be formed:
- NAME: kronecker_product
- SYNOPSIS: INT kronecker_product(OP a,b,c)
The sum of the columns can be evaluated:
- NAME: spalten_summe
- SYNOPSIS: INT spalten_summe(OP mat,res)
- DESCRIPTION: computes the sum of columns, the result is a VECTORobject
whose length is the number of columns
And you can also check the installation of MATRIXobjects:
- NAME: test_matrix
- SYNOPSIS: INT test_matrix()
- DESCRIPTION:
harald.fripertinger@kfunigraz.ac.at,
last changed: November 19, 2001
