JAMA
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Packages:
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JAMA
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PHPExcel
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PHPExcel_Style
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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: QRDecomposition

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

Class Overview








Author(s):


    
          
  • Paul Meagher
    • 
                  





        
        

Version:


    
  
  • 1.1
    • 



        




Variables







Methods
























Class Details



[line 19]





Tags:





  

    author:  Paul Meagher
  

  

    version:  1.1
  

  

    license:  PHP
  










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Class Variables



	
	

	
$m = 

	
[line 30]

  Row dimension.

Row dimension.


  

	

  

    

      Type:  
      integer
    

      

	



	
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$n = 

	
[line 36]

  Column dimension.

Column dimension.


  

	

  

    

      Type:  
      integer
    

      

	



	
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$QR = array()

	
[line 24]

  Array for internal storage of decomposition.

Array for internal storage of decomposition.


  

	

  

    

      Type:  
      array
    

      

	



	
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$Rdiag = array()

	
[line 42]

  Array for internal storage of diagonal of R.

Array for internal storage of diagonal of R.


  

	

  

    

      Type:  
      array
    

      

	



	
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Class Methods




  

	
	
constructor QRDecomposition [line 49]

	

    

    

		Structure QRDecomposition(
matrix
$A)
    

    


	
		QR Decomposition computed by Householder reflections.

QR Decomposition computed by Householder reflections.





Tags:





  

    return:  to access R and the Householder vectors and compute Q.
  









	
        
Parameters:

    

    

          

        matrix  
        $A  
        Rectangular matrix
      

        

    


        
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method getH [line 99]

	

    

    

		Matrix getH(
)
    

    


	
		Return the Householder vectors

Return the Householder vectors





Tags:





  

    return:  Lower trapezoidal matrix whose columns define the reflections
  









	
        
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method getQ [line 133]

	

    

    

		Matrix getQ(
)
    

    


	
		Generate and return the (economy-sized) orthogonal factor

Generate and return the (economy-sized) orthogonal factor





Tags:





  

    return:  orthogonal factor
  









	
        
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method getR [line 115]

	

    

    

		Matrix getR(
)
    

    


	
		Return the upper triangular factor

Return the upper triangular factor





Tags:





  

    return:  upper triangular factor
  









	
        
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method isFullRank [line 88]

	

    

    

		boolean isFullRank(
)
    

    


	
		Is the matrix full rank?

Is the matrix full rank?





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    return:  true if R, and hence A, has full rank, else false.
  









	
        
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method solve [line 163]

	

    

    

		Matrix solve(
Matrix
$B)
    

    


	
		Least squares solution of A*X = B

Least squares solution of A*X = B





Tags:





  

    return:  Matrix that minimizes the two norm of Q*R*X-B.
  









	
        
Parameters:

    

    

          

        Matrix  
        $B  
        A Matrix with as many rows as A and any number of columns.
      

        

    


        
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		    Documentation generated on Mon, 05 Jan 2009 20:38:24 +0100 by phpDocumentor 1.4.1