The Lapack class

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Introduction

LAPACK is written in Fortran 90 and provides routines for solving systems of simultaneous linear equations, least-squares solutions of linear systems of equations, eigenvalue problems, and singular value problems. This extension wraps the LAPACKE C bindings to allow access to several processes exposed by the library. Most functions work with arrays of arrays, representing rectangular matrices in row major order - so a two by two matrix [1 2; 3 4] would be array(array(1, 2), array(3, 4)).

All of the functions are called statically, for example $eig = Lapack::eigenvalues($a);

Class synopsis

Lapack {
/* Methods */
public static array eigenValues ( array $a [, array $left [, array $right ]] )
public static array identity ( int $n )
public static array leastSquaresByFactorisation ( array $a , array $b )
public static array leastSquaresBySVD ( array $a , array $b )
public static array pseudoInverse ( array $a )
public static array singularValues ( array $a )
public static array solveLinearEquation ( array $a , array $b )
}

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