casacore::NNLSMatrixSolver Class Reference

NNLSMatrixSolver.h: the base class for NNLS solvers of linear equations AX=B. More...

#include <NNLSMatrixSolver.h>

Inheritance diagram for casacore::NNLSMatrixSolver:

Public Member Functions
	NNLSMatrixSolver ()
	Default Constructor. More...
	NNLSMatrixSolver (const NNLSMatrixSolver &other)
	Copy Constructor. More...
	NNLSMatrixSolver (const Matrix< FType > &A, const Vector< FType > &B)
	Create a NNLSMatrixSolver from a matrix A and a Vector B Warning: A and B are accessed by reference, so don't modify them during the lifetime of the NNLSMatrixSolver More...
	~NNLSMatrixSolver ()
	Destructor. More...
Bool	solve ()
	Solve for the X vector. More...
Public Member Functions inherited from casacore::MatrixSolver
	MatrixSolver ()
	Default Constructor. More...
	MatrixSolver (const MatrixSolver &other)
	Copy Constructor. More...
	MatrixSolver (const Matrix< FType > &A, const Vector< FType > &B)
	Create a MatrixSolver from a matrix A and a Vector B Warning: A and B are accessed by reference, so do not modify them during the lifetime of the MatrixSolver More...
virtual	~MatrixSolver ()
	Virtual destructor: calls all derived class destructors. More...
MatrixSolver &	operator= (const MatrixSolver &other)
	Assignment operator: uses reference semantics, i.e., it references the internal arrays of other. More...
void	setAB (const Matrix< FType > &A, const Vector< FType > &B)
	Set A matrix and B vector. More...
void	setX (const Vector< FType > &X)
	Set initial value of X. More...
Bool	accurateSolution ()
	Is the current solution good enough? More...
const Vector< FType > &	getResidual ()
	Return residual vector B-AX. More...
const Vector< FType > &	getSolution ()
	Return solution vector. More...
void	setTolerance (FType tol)
	Set the tolerance for solution. More...
FType	Tolerance ()
	Return the tolerance for solution. More...
void	setMaxIters (uInt maxiters)
	Set the maximum number of iterations. More...
uInt	MaxIters ()
	Return the maximum number of iterations. More...
void	setGain (FType g)
	Set the gain for solution. More...
FType	Gain ()
	Return the gain for solution. More...
void	setSolved (Bool s)
	Set status of solution. More...
Bool	Solved ()
	Return status of solution. More...
FType	getNorm ()
	Return norm of solution i.e. More...

Additional Inherited Members
Protected Member Functions inherited from casacore::MatrixSolver
virtual LogSink &	logSink ()
Protected Attributes inherited from casacore::MatrixSolver
LogSink	logSink_p
Matrix< FType >	AMatrix
	the A matrix data member More...
Vector< FType >	BVector
	the constraint vector data member More...
Vector< FType >	RVector
	The residual vector data member. More...
Vector< FType >	XVector
	The solution vector data member. More...
FType	RNorm
	The solution norm i.e. More...
FType	BNorm
	The data norm i.e. More...

Detailed Description

NNLSMatrixSolver.h: the base class for NNLS solvers of linear equations AX=B.

Intended use:

Internal

Review Status

Date Reviewed:

",

Prerequisite

• Matrix, Vector

Etymology

NNLS stands for Projection Onto Convex Sets. The idea is very simple: to find a solution to AX=B simply take the residual vector B-AX and operate on it to keep only the bits that obey some constraint e.g. positivity. Add this part to the current estimate of the solution vector and iterate. Both CLEAN and Gerchberg-Saxon are NNLS algorithms. If the projection Operators are convex then the process is guaranteed to converge (Youla, 1970).

Synopsis

NNLSMatrixSolver is a complete class. To use it, simply add Operators

1. I do not know how to do this yet but it should look something like NNLSMatrixSolver NNLS(amatrix, bvector);NNLS.addOperator(foo);

To Do

• Add list of operators

Definition at line 71 of file NNLSMatrixSolver.h.

Constructor & Destructor Documentation

casacore::NNLSMatrixSolver::NNLSMatrixSolver

(

)

Default Constructor.

casacore::NNLSMatrixSolver::NNLSMatrixSolver

(

const NNLSMatrixSolver &

other

)

Copy Constructor.

casacore::NNLSMatrixSolver::NNLSMatrixSolver	(	const Matrix< FType > &	A,
		const Vector< FType > &	B
	)

Create a NNLSMatrixSolver from a matrix A and a Vector B
Warning: A and B are accessed by reference, so don't modify them during the lifetime of the NNLSMatrixSolver

casacore::NNLSMatrixSolver::~NNLSMatrixSolver

(

)

Destructor.

Member Function Documentation

Bool casacore::NNLSMatrixSolver::solve ( )

virtual

Solve for the X vector.

Reimplemented from casacore::MatrixSolver.

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

• scimath/Mathematics/NNLSMatrixSolver.h