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19 Mar 2006 08:29:09 UTC
- Distribution: Math-Matrix
- Module version: 0.5
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NAME
Math::Matrix - Multiply and invert Matrices
SYNOPSIS
use Math::Matrix;
DESCRIPTION
The following methods are available:
new
Constructor arguments are a list of references to arrays of the same length. The arrays are copied. The method returns undef in case of error.
$a = new Math::Matrix ([rand,rand,rand], [rand,rand,rand], [rand,rand,rand]);
If you call
new
as method, a zero filled matrix with identical deminsions is returned.clone
You can clone a matrix by calling:
$b = $a->clone;
size
You can determine the dimensions of a matrix by calling:
($m, $n) = $a->size;
concat
Concatenates two matrices of same row count. The result is a new matrix or undef in case of error.
$b = new Math::Matrix ([rand],[rand],[rand]); $c = $a->concat($b);
transpose
Returns the transposed matrix. This is the matrix where colums and rows of the argument matrix are swaped.
multiply
Multiplies two matrices where the length of the rows in the first matrix is the same as the length of the columns in the second matrix. Returns the product or undef in case of error.
solve
Solves a equation system given by the matrix. The number of colums must be greater than the number of rows. If variables are dependent from each other, the second and all further of the dependent coefficients are 0. This means the method can handle such systems. The method returns a matrix containing the solutions in its columns or undef in case of error.
invert
Invert a Matrix using
solve
.multiply_scalar
Multiplies a matrix and a scalar resulting in a matrix of the same dimensions with each element scaled with the scalar.
$a->multiply_scalar(2); scale matrix by factor 2
add
Add two matrices of the same dimensions.
substract
Shorthand for
add($other->negative)
equal
Decide if two matrices are equal. The criterion is, that each pair of elements differs less than $Math::Matrix::eps.
slice
Extract columns:
a->slice(1,3,5);
determinant
Compute the determinant of a matrix.
dot_product
Compute the dot product of two vectors.
absolute
Compute the absolute value of a vector.
normalizing
Normalize a vector.
cross_product
Compute the cross-product of vectors.
print
Prints the matrix on STDOUT. If the method has additional parameters, these are printed before the matrix is printed.
pinvert
Compute the pseudo-inverse of the matrix: ((A'A)^-1)A'
EXAMPLE
use Math::Matrix; srand(time); $a = new Math::Matrix ([rand,rand,rand], [rand,rand,rand], [rand,rand,rand]); $x = new Math::Matrix ([rand,rand,rand]); $a->print("A\n"); $E = $a->concat($x->transpose); $E->print("Equation system\n"); $s = $E->solve; $s->print("Solutions s\n"); $a->multiply($s)->print("A*s\n");
AUTHOR
Ulrich Pfeifer <pfeifer@ls6.informatik.uni-dortmund.de>
Brian J. Watson <bjbrew@power.net>
Matthew Brett <matthew.brett@mrc-cbu.cam.ac.uk>
Module Install Instructions
To install Math::Matrix, copy and paste the appropriate command in to your terminal.
cpanm Math::Matrix
perl -MCPAN -e shell install Math::Matrix
For more information on module installation, please visit the detailed CPAN module installation guide.