GenericLinearAlgebraOperations<T>.CreateModifiedGivensRotation Method

THE MODIFIED GIVENS TRANSFORMATION MATRIX H WHICH ZEROS THE SECOND COMPONENT OF THE 2-VECTOR (DSQRT(DD1)*DX1,DSQRT(DD2)*> DY2)**T.

Definition

Namespace: Extreme.Mathematics.LinearAlgebra.Implementation
Assembly: Extreme.Numerics.Generic (in Extreme.Numerics.Generic.dll) Version: 8.1.4
C#
public override void CreateModifiedGivensRotation(
	ref T dd1,
	ref T dd2,
	ref T dx1,
	T dy1,
	T[] dparam
)

Parameters

dd1  T
dd2  T
dx1  T
dy1  T
dparam  T[]
            Dimension 5
            AM(1)=DFLAG
            RAM(2)=DH11
            ARAM(3)=DH21
            PARAM(4)=DH12
            DPARAM(5)=DH22
            

Remarks

               WITH DPARAM(1)=DFLAG, H HAS ONE OF THE FOLLOWING FORMS.
               DFLAG=-1.D0     DFLAG=0.D0        DFLAG=1.D0     DFLAG=-2.D0
                 (DH11  DH12)    (1.D0  DH12)    (DH11  1.D0)    (1.D0  0.D0)
               H=(          )    (          )    (          )    (          )
                 (DH21  DH22),   (DH21  1.D0),   (-1.D0 DH22),   (0.D0  1.D0).
               LOCATIONS 2-4 OF DPARAM CONTAIN DH11, DH21, DH12, AND DH22
               RESPECTIVELY. (VALUES OF 1.D0, -1.D0, OR 0.D0 IMPLIED BY THE
               VALUE OF DPARAM(1) ARE NOT STORED IN DPARAM.)
               THE VALUES OF GAMSQ AND RGAMSQ SET IN THE DATA STATEMENT MAY BE
               INEXACT.  THIS IS OK AS THEY ARE ONLY USED FOR TESTING THE SIZE
               OF DD1 AND DD2.  ALL ACTUAL SCALING OF DATA IS DONE USING GAM.
            

Authors: Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver, NAG Ltd.

Date: November 2011

See Also