Math::GSL::MatrixComplex(3pm)

NAME
Math::GSL::MatrixComplex - Complex Matrices

SYNOPSIS
    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

Objected Oriented Interface to GSL Math::GSL::MatrixComplex

  new()
Creates a new MatrixComplex object of the given size.

    my $matrix = Math::GSL::MatrixComplex->new(10,10);

  raw()
Get the underlying GSL matrix object created by SWIG, useful for using gsl_matrix_* functions which do not have an OO counterpart.

    my $matrix     = Math::GSL::MatrixComplex->new(3,3);
    my $gsl_matrix = $matrix->raw;
    my $stuff      = gsl_matrix_complex_get($gsl_matrix, 1, 2);

  rows()
Returns the number of rows in the matrix.

    my $rows = $matrix->rows;

  cols()
Returns the number of columns in the matrix.

    my $cols = $matrix->cols;

  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 col() or row() into a vector, like so:

    my $vector1 = $matrix->col(0)->as_vector;
    my $vector2 = $matrix->row(1)->as_vector;

  as_list()
Get the contents of a Math::GSL::Matrix object as a Perl list.

    my $matrix = Math::GSL::MatrixComplex->new(3,3);
    ...
    my @matrix = $matrix->as_list;

  row()
Returns a row matrix of the row you enter.

    my $matrix = Math::GSL::MatrixComplex->new(3,3);
    ...
    my $matrix_row = $matrix->row(0);

  col()
Returns a col matrix of the column you enter.

    my $matrix = Math::GSL::MatrixComplex->new(3,3);
    ...
    my $matrix_col = $matrix->col(0);

  set_row()
Sets a the values of a row with the elements of an array.

    my $matrix = Math::GSL::MatrixComplex->new(3,3);
    $matrix->set_row(0, [8, 6, 2]);

You can also set multiple rows at once with chained calls:
    my $matrix = Math::GSL::MatrixComplex->new(3,3);
    $matrix->set_row(0, [8, 6, 2])
           ->set_row(1, [2, 4, 1]);
    ...

  set_col()
Sets a the values of a column with the elements of an array.

    my $matrix = Math::GSL::MatrixComplex->new(3,3);
    $matrix->set_col(0, [8, 6, 2]);

You can also set multiple columns at once with chained calls:
    my $matrix = Math::GSL::MatrixComplex->new(3,3);
    $matrix->set_col(0, [8, 6, 2])
           ->set_col(1, [2, 4, 1]);
    ...

  is_square()
Returns true if a matrix is square, i.e. it has the same number of rows as columns, false otherwise.

  det()
Returns the determinant of a matrix (computed by LU decomposition) or dies if called on a non-square matrix.

    my $det = $matrix->det();

  zero()
Set a matrix to the zero matrix.

    $matrix->zero;

  identity()
Set a matrix to the identity matrix, i.e. one on the diagonal and zero elsewhere.

    my $I = $matrix->identity;

  inverse()
Returns the inverse of a matrix or dies when called on a non-square matrix.

    my $inverse = $matrix->inverse;

  is_hermitian()
Returns true if the matrix is hermitian, false otherwise

    my $test = $matrix->is_hermitian;

  eigenvalues()

  lndet()
Returns the natural log of the absolute value of the determinant of a matrix (computed by LU decomposition) or dies if called on a non-square matrix.

    my $lndet = $matrix->lndet();

DESCRIPTION

"gsl_matrix_complex_alloc "
"gsl_matrix_complex_calloc "
"gsl_matrix_complex_alloc_from_block "
"gsl_matrix_complex_alloc_from_matrix "
"gsl_vector_complex_alloc_row_from_matrix "
"gsl_vector_complex_alloc_col_from_matrix "
"gsl_matrix_complex_free "
"gsl_matrix_complex_submatrix "
"gsl_matrix_complex_row "
"gsl_matrix_complex_column "
"gsl_matrix_complex_diagonal "
"gsl_matrix_complex_subdiagonal "
"gsl_matrix_complex_superdiagonal "
"gsl_matrix_complex_subrow "
"gsl_matrix_complex_subcolumn "
"gsl_matrix_complex_view_array "
"gsl_matrix_complex_view_array_with_tda "
"gsl_matrix_complex_view_vector "
"gsl_matrix_complex_view_vector_with_tda "
"gsl_matrix_complex_const_submatrix "
"gsl_matrix_complex_const_row "
"gsl_matrix_complex_const_column "
"gsl_matrix_complex_const_diagonal "
"gsl_matrix_complex_const_subdiagonal "
"gsl_matrix_complex_const_superdiagonal "
"gsl_matrix_complex_const_subrow "
"gsl_matrix_complex_const_subcolumn "
"gsl_matrix_complex_const_view_array "
"gsl_matrix_complex_const_view_array_with_tda "
"gsl_matrix_complex_const_view_vector "
"gsl_matrix_complex_const_view_vector_with_tda "
"gsl_matrix_complex_get"
"gsl_matrix_complex_set"
"gsl_matrix_complex_ptr"
"gsl_matrix_complex_const_ptr"
"gsl_matrix_complex_set_zero "
"gsl_matrix_complex_set_identity "
"gsl_matrix_complex_set_all "
"gsl_matrix_complex_fread "
"gsl_matrix_complex_fwrite "
"gsl_matrix_complex_fscanf "
"gsl_matrix_complex_fprintf "
"gsl_matrix_complex_memcpy"
"gsl_matrix_complex_swap"
"gsl_matrix_complex_swap_rows"
"gsl_matrix_complex_swap_columns"
"gsl_matrix_complex_swap_rowcol"
"gsl_matrix_complex_transpose "
"gsl_matrix_complex_transpose_memcpy "
"gsl_matrix_complex_isnull "
"gsl_matrix_complex_ispos "
"gsl_matrix_complex_isneg "
"gsl_matrix_complex_add "
"gsl_matrix_complex_sub "
"gsl_matrix_complex_mul_elements "
"gsl_matrix_complex_div_elements "
"gsl_matrix_complex_scale "
"gsl_matrix_complex_add_constant "
"gsl_matrix_complex_add_diagonal "
"gsl_matrix_complex_get_row"
"gsl_matrix_complex_get_col"
"gsl_matrix_complex_set_row"
"gsl_matrix_complex_set_col"

For more information on the functions, we refer you to the GSL official documentation <http://www.gnu.org/software/gsl/manual/html_node/>

AUTHORS
Jonathan "Duke" Leto <jonathan@leto.net> and Thierry Moisan <thierry.moisan@gmail.com>

COPYRIGHT AND LICENSE
Copyright (C) 2008-2024 Jonathan "Duke" Leto and Thierry Moisan

This program is free software; you can redistribute it and/or modify it under the same terms as Perl itself.