Lapack
PHP Manual

Lapack::solveLinearEquation

Solve a system of linear equations

Description

public static array Lapack::solveLinearEquation ( array $a , array $b )

This function computes the solution to the system of linear equations with a square matrix A and multiple right-hand sides B. Solves A * X = B for multiple B.

Parameters

a

Square matrix of linear equations

b

Right hand side to be solved for

Return Values

Matrix X

Examples

Example #1 Using Lapack::singularValues:

<?php

    $a = array(
        array( 6.80,  -6.05,  -0.45,   8.32,  -9.67   ),
        array(-2.11,  -3.30,   2.58,   2.71,  -5.14   ),
        array( 5.66,   5.36,  -2.70,   4.35,  -7.26   ),
        array( 5.97,  -4.44,   0.27,  -7.17,   6.08   ),
        array( 8.23,   1.08,   9.04,   2.14,  -6.87   ),
    );

    $b = array(
       array(  4.02,  -1.56,   9.81   ),
       array(  6.19,   4.00,  -4.09   ),
       array( -8.22,  -8.67,  -4.57   ),
       array( -7.57,   1.75,  -8.61   ),
       array( -3.03,   2.86,   8.99   ),
    );

    $result = Lapack::solveLinearEquation($a, $b);

    ?>