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Math-Matrix-0.3
River stage one • 5 direct dependents • 6 total dependents
2 ++
/ Math::Matrix

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]);

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.

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.

equal

Decide if two matrices are equal. Beware of rounding errors!

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.

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>