Package org.ejml.dense.row.decomposition.qr

Class QrHelperFunctions_MT_FDRM

java.lang.Object

org.ejml.dense.row.decomposition.qr.QrHelperFunctions_MT_FDRM

@Generated("org.ejml.dense.row.decomposition.qr.QrHelperFunctions_FDRM")
public class QrHelperFunctions_MT_FDRM
extends Object

Contains different functions that are useful for computing the QR decomposition of a matrix.

Two different families of functions are provided for help in computing reflectors. Internally both of these functions switch between normalization by division or multiplication. Multiplication is most often significantly faster than division (2 or 3 times) but produces less accurate results on very small numbers. It checks to see if round off error is significant and decides which one it should do.

Tests were done using the stability benchmark in jmatbench and there doesn't seem to be any advantage to always dividing by the max instead of checking and deciding. The most noticeable difference between the two methods is with very small numbers.

Constructor Summary

Constructors

Constructor	Description
QrHelperFunctions_MT_FDRM()

Method Summary

Modifier and Type	Method	Description
static void	rank1UpdateMultL(FMatrixRMaj A, float[] u, float gamma, int colA0, int w0, int w1)	Performs a rank-1 update operation on the submatrix specified by w with the multiply on the left. A = A(I - γ*u*uT)
static void	rank1UpdateMultR(FMatrixRMaj A, float[] u, float gamma, int colA0, int w0, int w1, float[] _temp)	Performs a rank-1 update operation on the submatrix specified by w with the multiply on the right. A = (I - γ*u*uT)*A
static void	rank1UpdateMultR(FMatrixRMaj A, float[] u, int offsetU, float gamma, int colA0, int w0, int w1, float[] _temp)
static void	rank1UpdateMultR_u0(FMatrixRMaj A, float[] u, float u_0, float gamma, int colA0, int w0, int w1, float[] _temp)

Methods inherited from class java.lang.Object

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

Constructor Details

QrHelperFunctions_MT_FDRM

public QrHelperFunctions_MT_FDRM()

Method Details

rank1UpdateMultR

public static void rank1UpdateMultR(FMatrixRMaj A,
 float[] u,
 float gamma,
 int colA0,
 int w0,
 int w1,
 float[] _temp)

Performs a rank-1 update operation on the submatrix specified by w with the multiply on the right.

A = (I - γ*u*u^T)*A

The order that matrix multiplies are performed has been carefully selected to minimize the number of operations.

Before this can become a truly generic operation the submatrix specification needs to be made more generic.

rank1UpdateMultR_u0

public static void rank1UpdateMultR_u0(FMatrixRMaj A,
 float[] u,
 float u_0,
 float gamma,
 int colA0,
 int w0,
 int w1,
 float[] _temp)

rank1UpdateMultR

public static void rank1UpdateMultR(FMatrixRMaj A,
 float[] u,
 int offsetU,
 float gamma,
 int colA0,
 int w0,
 int w1,
 float[] _temp)

rank1UpdateMultL

public static void rank1UpdateMultL(FMatrixRMaj A,
 float[] u,
 float gamma,
 int colA0,
 int w0,
 int w1)

Performs a rank-1 update operation on the submatrix specified by w with the multiply on the left.

A = A(I - γ*u*u^T)

The order that matrix multiplies are performed has been carefully selected to minimize the number of operations.

Before this can become a truly generic operation the submatrix specification needs to be made more generic.