Lapack::leastSquaresByFactorisation

(PECL lapack >= 0.1.0)

Lapack::leastSquaresByFactorisation — Calculate the linear least squares solution of a matrix using QR factorisation

说明

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

Solve the linear least squares problem, find min x in || B - Ax || Returns an array representing x. Expects arrays of arrays, and will return an array of arrays in the dimension B num cols x A num cols. Uses QR or LQ factorisation on matrix A.

参数

a: Matrix A
b: Matrix B

返回值

Array of the solution matrix

范例

Example #1 Using Lapack::leastSquaresByFactorisation() :

  <?php

 $a  = array(
     array(  1.44 ,  - 7.84 ,  - 4.39 ,    4.53 ),
     array(- 9.96 ,  - 0.28 ,  - 3.24 ,    3.83 ),
     array(- 7.55 ,    3.24 ,    6.27 ,  - 6.64 ),
     array(  8.34 ,    8.09 ,    5.28 ,    2.06 ),
     array(  7.08 ,    2.52 ,    0.74 ,  - 2.47 ),
     array(- 5.45 ,  - 5.70 ,  - 1.19 ,    4.70 ),
 );

  $b  = array(
     array(  8.58 ,    9.35 ),
     array(  8.26 ,  - 4.43 ),
     array(  8.48 ,  - 0.70 ),
     array(- 5.28 ,  - 0.26 ),
     array(  5.72 ,  - 7.36 ),
     array(  8.93 ,  - 2.52 ),           
 );

  $result  =  Lapack :: leastSquaresByFactorisation ( $a ,  $b );
  ?>