vendor/phpoffice/phpspreadsheet/src/PhpSpreadsheet/Shared/JAMA/SingularValueDecomposition.php

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<?php

namespace PhpOffice\PhpSpreadsheet\Shared\JAMA;

/**
 *    For an m-by-n matrix A with m >= n, the singular value decomposition is
 *    an m-by-n orthogonal matrix U, an n-by-n diagonal matrix S, and
 *    an n-by-n orthogonal matrix V so that A = U*S*V'.
 *
 *    The singular values, sigma[$k] = S[$k][$k], are ordered so that
 *    sigma[0] >= sigma[1] >= ... >= sigma[n-1].
 *
 *    The singular value decompostion always exists, so the constructor will
 *    never fail.  The matrix condition number and the effective numerical
 *    rank can be computed from this decomposition.
 *
 *    @author  Paul Meagher
 *
 *    @version 1.1
 */
class SingularValueDecomposition
{
    /**
     * Internal storage of U.
     *
     * @var array
     */
    private $U = [];

    /**
     * Internal storage of V.
     *
     * @var array
     */
    private $V = [];

    /**
     * Internal storage of singular values.
     *
     * @var array
     */
    private $s = [];

    /**
     * Row dimension.
     *
     * @var int
     */
    private $m;

    /**
     * Column dimension.
     *
     * @var int
     */
    private $n;

    /**
     * Construct the singular value decomposition.
     *

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