JAMA
[ class tree: JAMA ] [ index: JAMA ] [ all elements ]
Packages:
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com-tecnick-tcpdf
JAMA
Math_Stats
PHPExcel
PHPExcel_Calculation
PHPExcel_Cell
PHPExcel_Reader
PHPExcel_Reader_Excel5
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PHPExcel_Shared
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PHPExcel_Shared_Escher
PHPExcel_Shared_OLE
PHPExcel_Style
PHPExcel_Worksheet
PHPExcel_Worksheet_Drawing
PHPExcel_Writer
PHPExcel_Writer_Excel5
PHPExcel_Writer_Excel2007


Files:
benchmark.php
CholeskyDecomposition.php
EigenvalueDecomposition.php
Error.php
LUDecomposition.php
MagicSquareExample.php
Maths.php
Matrix.php
QRDecomposition.php
SingularValueDecomposition.php

Classes:
Benchmark
CholeskyDecomposition
EigenvalueDecomposition
LUDecomposition
MagicSquareExample
Matrix
QRDecomposition
SingularValueDecomposition

Class: EigenvalueDecomposition

Source Location: /PHPExcel/Shared/JAMA/EigenvalueDecomposition.php

Class Overview








Author(s):


    
          
  • Paul Meagher
    • 
                  





        
        

Version:


    
  
  • 1.1
    • 



        




Variables







Methods
























Class Details



[line 24]





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    author:  Paul Meagher
  

  

    version:  1.1
  

  

    license:  PHP
  










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Class Variables



	
	

	
$cdivi = 

	
[line 68]

  



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$cdivr = 

	
[line 67]

  Used for complex scalar division.

Used for complex scalar division.





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      Type:  
      float
    

      

	



	
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$d = array()

	
[line 42]

  Arrays for internal storage of eigenvalues.

Arrays for internal storage of eigenvalues.





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$e = array()

	
[line 43]

  



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$H = array()

	
[line 55]

  Array for internal storage of nonsymmetric Hessenberg form.

Array for internal storage of nonsymmetric Hessenberg form.





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$issymmetric = 

	
[line 36]

  Internal symmetry flag.

Internal symmetry flag.





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      Type:  
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$n = 

	
[line 30]

  Row and column dimension (square matrix).

Row and column dimension (square matrix).





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$ort = 

	
[line 61]

  Working storage for nonsymmetric algorithm.

Working storage for nonsymmetric algorithm.





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$V = array()

	
[line 49]

  Array for internal storage of eigenvectors.

Array for internal storage of eigenvectors.





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Class Methods




  

	
	
constructor __construct [line 782]

	

    

    

		Structure __construct(
A
$Arg)
    

    


	
		Constructor: Check for symmetry, then construct the eigenvalue decomposition

Constructor: Check for symmetry, then construct the eigenvalue decomposition





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    return:  to access D and V.
  

  

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        A  
        $Arg  
        Square matrix
      

        

    


        
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method cdiv [line 373]

	

    

    

		void cdiv(

$xr, 
$xi, 
$yr, 
$yi)
    

    


	
		Performs complex division.

Performs complex division.





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        $xr  
        
      

          

          
        $xi  
        
      

          

          
        $yr  
        
      

          

          
        $yi  
        
      

        

    


        
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method getD [line 849]

	

    

    

		D getD(
)
    

    


	
		Return the block diagonal eigenvalue matrix

Return the block diagonal eigenvalue matrix





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method getImagEigenvalues [line 838]

	

    

    

		imag(diag(D)) getImagEigenvalues(
)
    

    


	
		Return the imaginary parts of the eigenvalues

Return the imaginary parts of the eigenvalues





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method getRealEigenvalues [line 827]

	

    

    

		real(diag(D)) getRealEigenvalues(
)
    

    


	
		Return the real parts of the eigenvalues

Return the real parts of the eigenvalues





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method getV [line 816]

	

    

    

		V getV(
)
    

    


	
		Return the eigenvector matrix

Return the eigenvector matrix





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method hqr2 [line 398]

	

    

    

		void hqr2(
)
    

    


	
		Nonsymmetric reduction from Hessenberg to real Schur form.

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.





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method orthes [line 291]

	

    

    

		void orthes(
)
    

    


	
		Nonsymmetric reduction to Hessenberg form.

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.





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method tql2 [line 185]

	

    

    

		void tql2(
)
    

    


	
		Symmetric tridiagonal QL algorithm.

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.





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method tred2 [line 76]

	

    

    

		void tred2(
)
    

    


	
		Symmetric Householder reduction to tridiagonal form.

Symmetric Householder reduction to tridiagonal form.





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		    Documentation generated on Mon, 10 Aug 2009 08:03:26 +0200 by phpDocumentor 1.4.1