org.ejml.alg.block.linsol.qr

Class BlockQrHouseHolderSolver

java.lang.Object

org.ejml.alg.block.linsol.qr.BlockQrHouseHolderSolver

All Implemented Interfaces:

org.ejml.interfaces.linsol.LinearSolver<org.ejml.data.BlockMatrix64F>

public class BlockQrHouseHolderSolver
extends java.lang.Object
implements org.ejml.interfaces.linsol.LinearSolver<org.ejml.data.BlockMatrix64F>

A solver for QRDecompositionHouseholder_B64. Systems are solved for using the standard QR decomposition method, sketched below.

A = Q*R
A*x = b
Q*R*x = b
R*x = y = Q^Tb
x = R^-1y

Where A is the m by n matrix being decomposed. Q is an orthogonal matrix. R is upper triangular matrix.

Field Summary

Fields

Modifier and Type	Field and Description
protected QRDecompositionHouseholder_B64	decomposer
protected org.ejml.data.BlockMatrix64F	QR

Constructor Summary

Constructors

Constructor and Description
BlockQrHouseHolderSolver()

Method Summary

Modifier and Type	Method and Description
org.ejml.interfaces.decomposition.QRDecomposition<org.ejml.data.BlockMatrix64F>	getDecomposition()
void	invert(org.ejml.data.BlockMatrix64F A_inv) Invert by solving for against an identity matrix.
boolean	modifiesA()
boolean	modifiesB()
double	quality() Computes the quality using diagonal elements the triangular R matrix in the QR decomposition.
boolean	setA(org.ejml.data.BlockMatrix64F A) Computes the QR decomposition of A and store the results in A.
void	solve(org.ejml.data.BlockMatrix64F B, org.ejml.data.BlockMatrix64F X)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

decomposer

protected QRDecompositionHouseholder_B64 decomposer

QR

protected org.ejml.data.BlockMatrix64F QR

Constructor Detail

BlockQrHouseHolderSolver

public BlockQrHouseHolderSolver()

Method Detail

setA

public boolean setA(org.ejml.data.BlockMatrix64F A)

Computes the QR decomposition of A and store the results in A.

Specified by:

setA in interface org.ejml.interfaces.linsol.LinearSolver<org.ejml.data.BlockMatrix64F>

Parameters:

A - The A matrix in the linear equation. Modified. Reference saved.

Returns:

true if the decomposition was successful.

quality

public double quality()

Computes the quality using diagonal elements the triangular R matrix in the QR decomposition.

Specified by:

quality in interface org.ejml.interfaces.linsol.LinearSolver<org.ejml.data.BlockMatrix64F>

Returns:

Solutions quality.

solve

public void solve(org.ejml.data.BlockMatrix64F B,
                  org.ejml.data.BlockMatrix64F X)

Specified by:

solve in interface org.ejml.interfaces.linsol.LinearSolver<org.ejml.data.BlockMatrix64F>

invert

public void invert(org.ejml.data.BlockMatrix64F A_inv)

Invert by solving for against an identity matrix.

Specified by:

invert in interface org.ejml.interfaces.linsol.LinearSolver<org.ejml.data.BlockMatrix64F>

Parameters:

A_inv - Where the inverted matrix saved. Modified.

modifiesA

public boolean modifiesA()

Specified by:

modifiesA in interface org.ejml.interfaces.linsol.LinearSolver<org.ejml.data.BlockMatrix64F>

modifiesB

public boolean modifiesB()

Specified by:

modifiesB in interface org.ejml.interfaces.linsol.LinearSolver<org.ejml.data.BlockMatrix64F>

getDecomposition

public org.ejml.interfaces.decomposition.QRDecomposition<org.ejml.data.BlockMatrix64F> getDecomposition()

Specified by:

getDecomposition in interface org.ejml.interfaces.linsol.LinearSolver<org.ejml.data.BlockMatrix64F>