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 )

}

Lapack::eigenValues — This function returns the eigenvalues for a given square matrix
Lapack::identity — Return an identity matrix
Lapack::leastSquaresByFactorisation — Calculate the linear least squares solution of a matrix using QR factorisation
Lapack::leastSquaresBySVD — Solve the linear least squares problem, using SVD
Lapack::pseudoInverse — Calculate the inverse of a matrix
Lapack::singularValues — Calculated the singular values of a matrix
Lapack::solveLinearEquation — Solve a system of linear equations

The Lapack class

Introduction

Class synopsis

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