Gitee
\
admin
login
classes
systemlog
classes
Composer
Autoload
core
dzz
Guzzle
Tests
Service
Description
GuzzleHttp
Command
Exception
Guzzle
Handler
QuerySerializer
RequestLocation
ResponseLocation
Cookie
Exception
Handler
Promise
Psr7
Tests
Command
Guzzle
Asset
Exception
Handler
QuerySerializer
RequestLocation
ResponseLocation
misc
classes
Psr
Http
Message
Qcloud
Cos
Exception
Request
Tests
user
classes
login
classes
profile
classes
register
classes
sso
classes

\EigenvalueDecomposition

Summary

Methods
Properties
Constants
__construct()
getV()
getRealEigenvalues()
getImagEigenvalues()
getD()
No public properties found
No constants found
No protected methods found
No protected properties found
N/A
tred2()
tql2()
orthes()
cdiv()
hqr2()
$n
$issymmetric
$d
$e
$V
$H
$ort
$cdivr
$cdivi
N/A

Properties

$n

$n : int

Row and column dimension (square matrix).

Type

int —

$issymmetric

$issymmetric : int

Internal symmetry flag.

Type

int —

$d

$d : array

Arrays for internal storage of eigenvalues.

Type

array —

$e

$e

$V

$V : array

Array for internal storage of eigenvectors.

Type

array —

$H

$H : array

Array for internal storage of nonsymmetric Hessenberg form.

Type

array —

$ort

$ort : array

Working storage for nonsymmetric algorithm.

Type

array —

$cdivr

$cdivr : float

Used for complex scalar division.

Type

float —

$cdivi

$cdivi

Methods

__construct()

__construct(mixed  $Arg) : \Structure

Constructor: Check for symmetry, then construct the eigenvalue decomposition

Parameters

mixed $Arg

Returns

\Structure —

to access D and V.

getV()

getV() : \V

Return the eigenvector matrix

Returns

\V —

getRealEigenvalues()

getRealEigenvalues() : float|(\diag|(\D))

Return the real parts of the eigenvalues

Returns

float|(\diag|(\D)) —

getImagEigenvalues()

getImagEigenvalues() : \imag|(\diag|(\D))

Return the imaginary parts of the eigenvalues

Returns

\imag|(\diag|(\D)) —

getD()

getD() : \D

Return the block diagonal eigenvalue matrix

Returns

\D —

tred2()

tred2() : mixed

Symmetric Householder reduction to tridiagonal form.

Returns

mixed —

tql2()

tql2() : mixed

Symmetric tridiagonal QL algorithm.

This is derived from the Algol procedures tql2, by Bowdler, Martin, Reinsch, and Wilkinson, Handbook for Auto. Comp., Vol.ii-Linear Algebra, and the corresponding Fortran subroutine in EISPACK.

Returns

mixed —

orthes()

orthes() : mixed

Nonsymmetric reduction to Hessenberg form.

This is derived from the Algol procedures orthes and ortran, by Martin and Wilkinson, Handbook for Auto. Comp., Vol.ii-Linear Algebra, and the corresponding Fortran subroutines in EISPACK.

Returns

mixed —

cdiv()

cdiv(mixed  $xr, mixed  $xi, mixed  $yr, mixed  $yi) : mixed

Performs complex division.

Parameters

mixed $xr
mixed $xi
mixed $yr
mixed $yi

Returns

mixed —

hqr2()

hqr2() : mixed

Nonsymmetric reduction from Hessenberg to real Schur form.

Code is derived from the Algol procedure hqr2, by Martin and Wilkinson, Handbook for Auto. Comp., Vol.ii-Linear Algebra, and the corresponding Fortran subroutine in EISPACK.

Returns

mixed —