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F_CBB_LS Class Reference

#include <F_CBB_LS.hpp>

Inheritance diagram for F_CBB_LS:

[legend]Collaboration diagram for F_CBB_LS:

[legend]List of all members.

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Detailed Description

Cauchy-Barzilai-Borwein Linear Solver.

Author:

Bernard De Cuyper

Version:

1.15

Date:

16/07/2004

Remarks:

Tornado1 Iterative Linear Solver

 
Purpose:        Cauchy-Barzilai-Borwein of nxn Linear Solver
                Works here on SPD Matrices. It is much 2 times faster than BB. It is much less chaotic than BB.
                On linear problems it competes with CG.

                It is very competitive on against nonlinear CG, especially when non-quadratic objective functions
                are used. May win against NCG in nonlinear cases too.

Paper:  "Relaxed Steepest Descent and Cauchy-Barzilai-Borwein Method", M. Raydan & B. F. Svaiter, 
                Numerical Analysis Report NA/207, January 2001, 
                University Central of Venezuela, Caracas.

                "On the Barzilai-Borwein Method", R. Fletcher, Numerical Analysis Reprt NA/207, 2001, 
                Universitee of Dundee, UK

                

@ Copyrights: Bernard De Cuyper 2004, Eggs & Pictures. MIT/Open BSD copyright model.

Public Methods
	F_CBB_LS (int maxIterations, double epsilon=1.0e-4)
virtual	~F_CBB_LS ()
virtual FloatVector *	solve (AFloatMatrix *m, FloatVector *b, FloatVector *dest)
Protected Methods
virtual FloatVector *	singleSolve (AFloatMatrix *A, FloatVector *b, FloatVector *x=0)
Private Attributes
double	alpha
FloatVector *	g
FloatVector *	h

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The documentation for this class was generated from the following files:

• F_CBB_LS.hpp
• F_CBB_LS.cpp

Restoreinpaint sourceforge project `C++/Java Image Processing, Restoration, Inpainting Project'.

Bernard De Cuyper: Open Project Leader: Concept, design and development. Bernard De Cuyper & Eddy Fraiha 2002, 2003. Bernard De Cuyper 2004. Open and free, for friendly usage only. Modifications on Belgium ground of this piece of artistic work, by governement institutions or companies, must be notified to Bernard De Cuyper.