LinearAlgebraOperations<T>.ApplyModifiedGivensRotation Method

THE MODIFIED GIVENS TRANSFORMATION, H, TO THE 2 BY N MATRIX (DXT) , WHERE **T INDICATES TRANSPOSE.

Definition

Namespace: Extreme.Mathematics.LinearAlgebra.Implementation
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23
C# 
public virtual void ApplyModifiedGivensRotation(
	int n,
	ArraySlice<T> dx,
	ArraySlice<T> dy,
	T[] dparam
)

Parameters

n  Int32
            number of elements in input vector(s)
dx  ArraySlice<T>
            Dimension N
            T precision vector with N elements
            
            storage spacing between elements of DX
dy  ArraySlice<T>
            Dimension N
            T precision vector with N elements
            
            storage spacing between elements of DY
dparam  T[]
            Dimension 5
            AM(1)=DFLAG
            RAM(2)=DH11
            ARAM(3)=DH21
            PARAM(4)=DH12
            DPARAM(5)=DH22

Remarks

            THE ELEMENTS OF DX ARE IN
               (DYT)
               DX(LX+I*INCX), I = 0 TO N-1, WHERE LX = 1 IF INCX  >=  0, ELSE
               LX = (-INCX)*N, AND SIMILARLY FOR SY USING LY AND INCY.
               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).
               SEE DROTMG FOR A DESCRIPTION OF DATA STORAGE IN DPARAM.

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

Date: November 2011

See Also