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.\" ========================================================================
.\"
.IX Title "Math::GSL::MatrixComplex 3pm"
.TH Math::GSL::MatrixComplex 3pm "2019-02-23" "perl v5.28.1" "User Contributed Perl Documentation"
.\" For nroff, turn off justification.  Always turn off hyphenation; it makes
.\" way too many mistakes in technical documents.
.if n .ad l
.nh
.SH "NAME"
Math::GSL::MatrixComplex \- Complex Matrices
.SH "SYNOPSIS"
.IX Header "SYNOPSIS"
.Vb 6
\&    use Math::GSL::MatrixComplex qw/:all/;
\&    my $matrix1 = Math::GSL::MatrixComplex\->new(5,5);  # OO interface
\&    my $matrix3 = $matrix1 + $matrix1;
\&    my $matrix4 = $matrix1 \- $matrix1;
\&    if($matrix1 == $matrix4) ...
\&    if($matrix1 != $matrix3) ...
\&
\&    my $matrix2 = gsl_matrix_complex_alloc(5,5);        # standard interface
.Ve
.SH "Objected Oriented Interface to GSL Math::GSL::MatrixComplex"
.IX Header "Objected Oriented Interface to GSL Math::GSL::MatrixComplex"
.SS "\fBnew()\fP"
.IX Subsection "new()"
Creates a new MatrixComplex object of the given size.
.PP
.Vb 1
\&    my $matrix = Math::GSL::MatrixComplex\->new(10,10);
.Ve
.SS "\fBraw()\fP"
.IX Subsection "raw()"
Get the underlying \s-1GSL\s0 matrix object created by \s-1SWIG,\s0 useful for using gsl_matrix_* functions which do not have an \s-1OO\s0 counterpart.
.PP
.Vb 3
\&    my $matrix     = Math::GSL::MatrixComplex\->new(3,3);
\&    my $gsl_matrix = $matrix\->raw;
\&    my $stuff      = gsl_matrix_complex_get($gsl_matrix, 1, 2);
.Ve
.SS "\fBrows()\fP"
.IX Subsection "rows()"
Returns the number of rows in the matrix.
.PP
.Vb 1
\&    my $rows = $matrix\->rows;
.Ve
.SS "\fBcols()\fP"
.IX Subsection "cols()"
Returns the number of columns in the matrix.
.PP
.Vb 1
\&    my $cols = $matrix\->cols;
.Ve
.SS "\fBas_vector()\fP"
.IX Subsection "as_vector()"
Returns a 1xN or Nx1 matrix as a Math::GSL::VectorComplex object. Dies if called on a matrix that is not a single row or column. Useful for turning the output of \f(CW\*(C`col()\*(C'\fR or \f(CW\*(C`row()\*(C'\fR into a vector, like so:
.PP
.Vb 2
\&    my $vector1 = $matrix\->col(0)\->as_vector;
\&    my $vector2 = $matrix\->row(1)\->as_vector;
.Ve
.SS "\fBas_list()\fP"
.IX Subsection "as_list()"
Get the contents of a Math::GSL::Matrix object as a Perl list.
.PP
.Vb 3
\&    my $matrix = Math::GSL::MatrixComplex\->new(3,3);
\&    ...
\&    my @matrix = $matrix\->as_list;
.Ve
.SS "\fBrow()\fP"
.IX Subsection "row()"
Returns a row matrix of the row you enter.
.PP
.Vb 3
\&    my $matrix = Math::GSL::MatrixComplex\->new(3,3);
\&    ...
\&    my $matrix_row = $matrix\->row(0);
.Ve
.SS "\fBcol()\fP"
.IX Subsection "col()"
Returns a col matrix of the column you enter.
.PP
.Vb 3
\&    my $matrix = Math::GSL::MatrixComplex\->new(3,3);
\&    ...
\&    my $matrix_col = $matrix\->col(0);
.Ve
.SS "\fBset_row()\fP"
.IX Subsection "set_row()"
Sets a the values of a row with the elements of an array.
.PP
.Vb 2
\&    my $matrix = Math::GSL::MatrixComplex\->new(3,3);
\&    $matrix\->set_row(0, [8, 6, 2]);
.Ve
.PP
You can also set multiple rows at once with chained calls:
    my \f(CW$matrix\fR = Math::GSL::MatrixComplex\->new(3,3);
    \f(CW$matrix\fR\->set_row(0, [8, 6, 2])
           \->set_row(1, [2, 4, 1]);
    ...
.SS "\fBset_col()\fP"
.IX Subsection "set_col()"
Sets a the values of a column with the elements of an array.
.PP
.Vb 2
\&    my $matrix = Math::GSL::MatrixComplex\->new(3,3);
\&    $matrix\->set_col(0, [8, 6, 2]);
.Ve
.PP
You can also set multiple columns at once with chained calls:
    my \f(CW$matrix\fR = Math::GSL::MatrixComplex\->new(3,3);
    \f(CW$matrix\fR\->set_col(0, [8, 6, 2])
           \->set_col(1, [2, 4, 1]);
    ...
.SS "\fBis_square()\fP"
.IX Subsection "is_square()"
Returns true if a matrix is square, i.e. it has the same number of rows as columns, false otherwise.
.SS "\fBdet()\fP"
.IX Subsection "det()"
Returns the determinant of a matrix (computed by \s-1LU\s0 decomposition) or dies if called on a non-square matrix.
.PP
.Vb 1
\&    my $det = $matrix\->det();
.Ve
.SS "\fBzero()\fP"
.IX Subsection "zero()"
Set a matrix to the zero matrix.
.PP
.Vb 1
\&    $matrix\->zero;
.Ve
.SS "\fBidentity()\fP"
.IX Subsection "identity()"
Set a matrix to the identity matrix, i.e. one on the diagonal and zero elsewhere.
.PP
.Vb 1
\&    my $I = $matrix\->identity;
.Ve
.SS "\fBinverse()\fP"
.IX Subsection "inverse()"
Returns the inverse of a matrix or dies when called on a non-square matrix.
.PP
.Vb 1
\&    my $inverse = $matrix\->inverse;
.Ve
.SS "\fBis_hermitian()\fP"
.IX Subsection "is_hermitian()"
Returns true if the matrix is hermitian, false otherwise
.PP
.Vb 1
\&    my $test = $matrix\->is_hermitian;
.Ve
.SS "\fBeigenvalues()\fP"
.IX Subsection "eigenvalues()"
.SS "\fBlndet()\fP"
.IX Subsection "lndet()"
Returns the natural log of the absolute value of the determinant of a matrix (computed by \s-1LU\s0 decomposition) or dies if called on a non-square matrix.
.PP
.Vb 1
\&    my $lndet = $matrix\->lndet();
.Ve
.SH "DESCRIPTION"
.IX Header "DESCRIPTION"
.ie n .IP """gsl_matrix_complex_alloc """ 1
.el .IP "\f(CWgsl_matrix_complex_alloc \fR" 1
.IX Item "gsl_matrix_complex_alloc "
.PD 0
.ie n .IP """gsl_matrix_complex_calloc """ 1
.el .IP "\f(CWgsl_matrix_complex_calloc \fR" 1
.IX Item "gsl_matrix_complex_calloc "
.ie n .IP """gsl_matrix_complex_alloc_from_block """ 1
.el .IP "\f(CWgsl_matrix_complex_alloc_from_block \fR" 1
.IX Item "gsl_matrix_complex_alloc_from_block "
.ie n .IP """gsl_matrix_complex_alloc_from_matrix """ 1
.el .IP "\f(CWgsl_matrix_complex_alloc_from_matrix \fR" 1
.IX Item "gsl_matrix_complex_alloc_from_matrix "
.ie n .IP """gsl_vector_complex_alloc_row_from_matrix """ 1
.el .IP "\f(CWgsl_vector_complex_alloc_row_from_matrix \fR" 1
.IX Item "gsl_vector_complex_alloc_row_from_matrix "
.ie n .IP """gsl_vector_complex_alloc_col_from_matrix """ 1
.el .IP "\f(CWgsl_vector_complex_alloc_col_from_matrix \fR" 1
.IX Item "gsl_vector_complex_alloc_col_from_matrix "
.ie n .IP """gsl_matrix_complex_free """ 1
.el .IP "\f(CWgsl_matrix_complex_free \fR" 1
.IX Item "gsl_matrix_complex_free "
.ie n .IP """gsl_matrix_complex_submatrix """ 1
.el .IP "\f(CWgsl_matrix_complex_submatrix \fR" 1
.IX Item "gsl_matrix_complex_submatrix "
.ie n .IP """gsl_matrix_complex_row """ 1
.el .IP "\f(CWgsl_matrix_complex_row \fR" 1
.IX Item "gsl_matrix_complex_row "
.ie n .IP """gsl_matrix_complex_column """ 1
.el .IP "\f(CWgsl_matrix_complex_column \fR" 1
.IX Item "gsl_matrix_complex_column "
.ie n .IP """gsl_matrix_complex_diagonal """ 1
.el .IP "\f(CWgsl_matrix_complex_diagonal \fR" 1
.IX Item "gsl_matrix_complex_diagonal "
.ie n .IP """gsl_matrix_complex_subdiagonal """ 1
.el .IP "\f(CWgsl_matrix_complex_subdiagonal \fR" 1
.IX Item "gsl_matrix_complex_subdiagonal "
.ie n .IP """gsl_matrix_complex_superdiagonal """ 1
.el .IP "\f(CWgsl_matrix_complex_superdiagonal \fR" 1
.IX Item "gsl_matrix_complex_superdiagonal "
.ie n .IP """gsl_matrix_complex_subrow """ 1
.el .IP "\f(CWgsl_matrix_complex_subrow \fR" 1
.IX Item "gsl_matrix_complex_subrow "
.ie n .IP """gsl_matrix_complex_subcolumn """ 1
.el .IP "\f(CWgsl_matrix_complex_subcolumn \fR" 1
.IX Item "gsl_matrix_complex_subcolumn "
.ie n .IP """gsl_matrix_complex_view_array """ 1
.el .IP "\f(CWgsl_matrix_complex_view_array \fR" 1
.IX Item "gsl_matrix_complex_view_array "
.ie n .IP """gsl_matrix_complex_view_array_with_tda """ 1
.el .IP "\f(CWgsl_matrix_complex_view_array_with_tda \fR" 1
.IX Item "gsl_matrix_complex_view_array_with_tda "
.ie n .IP """gsl_matrix_complex_view_vector """ 1
.el .IP "\f(CWgsl_matrix_complex_view_vector \fR" 1
.IX Item "gsl_matrix_complex_view_vector "
.ie n .IP """gsl_matrix_complex_view_vector_with_tda """ 1
.el .IP "\f(CWgsl_matrix_complex_view_vector_with_tda \fR" 1
.IX Item "gsl_matrix_complex_view_vector_with_tda "
.ie n .IP """gsl_matrix_complex_const_submatrix """ 1
.el .IP "\f(CWgsl_matrix_complex_const_submatrix \fR" 1
.IX Item "gsl_matrix_complex_const_submatrix "
.ie n .IP """gsl_matrix_complex_const_row """ 1
.el .IP "\f(CWgsl_matrix_complex_const_row \fR" 1
.IX Item "gsl_matrix_complex_const_row "
.ie n .IP """gsl_matrix_complex_const_column """ 1
.el .IP "\f(CWgsl_matrix_complex_const_column \fR" 1
.IX Item "gsl_matrix_complex_const_column "
.ie n .IP """gsl_matrix_complex_const_diagonal """ 1
.el .IP "\f(CWgsl_matrix_complex_const_diagonal \fR" 1
.IX Item "gsl_matrix_complex_const_diagonal "
.ie n .IP """gsl_matrix_complex_const_subdiagonal """ 1
.el .IP "\f(CWgsl_matrix_complex_const_subdiagonal \fR" 1
.IX Item "gsl_matrix_complex_const_subdiagonal "
.ie n .IP """gsl_matrix_complex_const_superdiagonal """ 1
.el .IP "\f(CWgsl_matrix_complex_const_superdiagonal \fR" 1
.IX Item "gsl_matrix_complex_const_superdiagonal "
.ie n .IP """gsl_matrix_complex_const_subrow """ 1
.el .IP "\f(CWgsl_matrix_complex_const_subrow \fR" 1
.IX Item "gsl_matrix_complex_const_subrow "
.ie n .IP """gsl_matrix_complex_const_subcolumn """ 1
.el .IP "\f(CWgsl_matrix_complex_const_subcolumn \fR" 1
.IX Item "gsl_matrix_complex_const_subcolumn "
.ie n .IP """gsl_matrix_complex_const_view_array """ 1
.el .IP "\f(CWgsl_matrix_complex_const_view_array \fR" 1
.IX Item "gsl_matrix_complex_const_view_array "
.ie n .IP """gsl_matrix_complex_const_view_array_with_tda """ 1
.el .IP "\f(CWgsl_matrix_complex_const_view_array_with_tda \fR" 1
.IX Item "gsl_matrix_complex_const_view_array_with_tda "
.ie n .IP """gsl_matrix_complex_const_view_vector """ 1
.el .IP "\f(CWgsl_matrix_complex_const_view_vector \fR" 1
.IX Item "gsl_matrix_complex_const_view_vector "
.ie n .IP """gsl_matrix_complex_const_view_vector_with_tda """ 1
.el .IP "\f(CWgsl_matrix_complex_const_view_vector_with_tda \fR" 1
.IX Item "gsl_matrix_complex_const_view_vector_with_tda "
.ie n .IP """gsl_matrix_complex_get""" 1
.el .IP "\f(CWgsl_matrix_complex_get\fR" 1
.IX Item "gsl_matrix_complex_get"
.ie n .IP """gsl_matrix_complex_set""" 1
.el .IP "\f(CWgsl_matrix_complex_set\fR" 1
.IX Item "gsl_matrix_complex_set"
.ie n .IP """gsl_matrix_complex_ptr""" 1
.el .IP "\f(CWgsl_matrix_complex_ptr\fR" 1
.IX Item "gsl_matrix_complex_ptr"
.ie n .IP """gsl_matrix_complex_const_ptr""" 1
.el .IP "\f(CWgsl_matrix_complex_const_ptr\fR" 1
.IX Item "gsl_matrix_complex_const_ptr"
.ie n .IP """gsl_matrix_complex_set_zero """ 1
.el .IP "\f(CWgsl_matrix_complex_set_zero \fR" 1
.IX Item "gsl_matrix_complex_set_zero "
.ie n .IP """gsl_matrix_complex_set_identity """ 1
.el .IP "\f(CWgsl_matrix_complex_set_identity \fR" 1
.IX Item "gsl_matrix_complex_set_identity "
.ie n .IP """gsl_matrix_complex_set_all """ 1
.el .IP "\f(CWgsl_matrix_complex_set_all \fR" 1
.IX Item "gsl_matrix_complex_set_all "
.ie n .IP """gsl_matrix_complex_fread """ 1
.el .IP "\f(CWgsl_matrix_complex_fread \fR" 1
.IX Item "gsl_matrix_complex_fread "
.ie n .IP """gsl_matrix_complex_fwrite """ 1
.el .IP "\f(CWgsl_matrix_complex_fwrite \fR" 1
.IX Item "gsl_matrix_complex_fwrite "
.ie n .IP """gsl_matrix_complex_fscanf """ 1
.el .IP "\f(CWgsl_matrix_complex_fscanf \fR" 1
.IX Item "gsl_matrix_complex_fscanf "
.ie n .IP """gsl_matrix_complex_fprintf """ 1
.el .IP "\f(CWgsl_matrix_complex_fprintf \fR" 1
.IX Item "gsl_matrix_complex_fprintf "
.ie n .IP """gsl_matrix_complex_memcpy""" 1
.el .IP "\f(CWgsl_matrix_complex_memcpy\fR" 1
.IX Item "gsl_matrix_complex_memcpy"
.ie n .IP """gsl_matrix_complex_swap""" 1
.el .IP "\f(CWgsl_matrix_complex_swap\fR" 1
.IX Item "gsl_matrix_complex_swap"
.ie n .IP """gsl_matrix_complex_swap_rows""" 1
.el .IP "\f(CWgsl_matrix_complex_swap_rows\fR" 1
.IX Item "gsl_matrix_complex_swap_rows"
.ie n .IP """gsl_matrix_complex_swap_columns""" 1
.el .IP "\f(CWgsl_matrix_complex_swap_columns\fR" 1
.IX Item "gsl_matrix_complex_swap_columns"
.ie n .IP """gsl_matrix_complex_swap_rowcol""" 1
.el .IP "\f(CWgsl_matrix_complex_swap_rowcol\fR" 1
.IX Item "gsl_matrix_complex_swap_rowcol"
.ie n .IP """gsl_matrix_complex_transpose """ 1
.el .IP "\f(CWgsl_matrix_complex_transpose \fR" 1
.IX Item "gsl_matrix_complex_transpose "
.ie n .IP """gsl_matrix_complex_transpose_memcpy """ 1
.el .IP "\f(CWgsl_matrix_complex_transpose_memcpy \fR" 1
.IX Item "gsl_matrix_complex_transpose_memcpy "
.ie n .IP """gsl_matrix_complex_isnull """ 1
.el .IP "\f(CWgsl_matrix_complex_isnull \fR" 1
.IX Item "gsl_matrix_complex_isnull "
.ie n .IP """gsl_matrix_complex_ispos """ 1
.el .IP "\f(CWgsl_matrix_complex_ispos \fR" 1
.IX Item "gsl_matrix_complex_ispos "
.ie n .IP """gsl_matrix_complex_isneg """ 1
.el .IP "\f(CWgsl_matrix_complex_isneg \fR" 1
.IX Item "gsl_matrix_complex_isneg "
.ie n .IP """gsl_matrix_complex_add """ 1
.el .IP "\f(CWgsl_matrix_complex_add \fR" 1
.IX Item "gsl_matrix_complex_add "
.ie n .IP """gsl_matrix_complex_sub """ 1
.el .IP "\f(CWgsl_matrix_complex_sub \fR" 1
.IX Item "gsl_matrix_complex_sub "
.ie n .IP """gsl_matrix_complex_mul_elements """ 1
.el .IP "\f(CWgsl_matrix_complex_mul_elements \fR" 1
.IX Item "gsl_matrix_complex_mul_elements "
.ie n .IP """gsl_matrix_complex_div_elements """ 1
.el .IP "\f(CWgsl_matrix_complex_div_elements \fR" 1
.IX Item "gsl_matrix_complex_div_elements "
.ie n .IP """gsl_matrix_complex_scale """ 1
.el .IP "\f(CWgsl_matrix_complex_scale \fR" 1
.IX Item "gsl_matrix_complex_scale "
.ie n .IP """gsl_matrix_complex_add_constant """ 1
.el .IP "\f(CWgsl_matrix_complex_add_constant \fR" 1
.IX Item "gsl_matrix_complex_add_constant "
.ie n .IP """gsl_matrix_complex_add_diagonal """ 1
.el .IP "\f(CWgsl_matrix_complex_add_diagonal \fR" 1
.IX Item "gsl_matrix_complex_add_diagonal "
.ie n .IP """gsl_matrix_complex_get_row""" 1
.el .IP "\f(CWgsl_matrix_complex_get_row\fR" 1
.IX Item "gsl_matrix_complex_get_row"
.ie n .IP """gsl_matrix_complex_get_col""" 1
.el .IP "\f(CWgsl_matrix_complex_get_col\fR" 1
.IX Item "gsl_matrix_complex_get_col"
.ie n .IP """gsl_matrix_complex_set_row""" 1
.el .IP "\f(CWgsl_matrix_complex_set_row\fR" 1
.IX Item "gsl_matrix_complex_set_row"
.ie n .IP """gsl_matrix_complex_set_col""" 1
.el .IP "\f(CWgsl_matrix_complex_set_col\fR" 1
.IX Item "gsl_matrix_complex_set_col"
.PD
.PP
For more information on the functions, we refer you to the \s-1GSL\s0 offcial documentation
<http://www.gnu.org/software/gsl/manual/html_node/>
.SH "AUTHORS"
.IX Header "AUTHORS"
Jonathan \*(L"Duke\*(R" Leto <jonathan@leto.net> and Thierry Moisan <thierry.moisan@gmail.com>
.SH "COPYRIGHT AND LICENSE"
.IX Header "COPYRIGHT AND LICENSE"
Copyright (C) 2008\-2011 Jonathan \*(L"Duke\*(R" Leto and Thierry Moisan
.PP
This program is free software; you can redistribute it and/or modify it
under the same terms as Perl itself.