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  4. dlar2v.f(3)

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dlar2v.f(3) LAPACK dlar2v.f(3)

NAME

dlar2v.f -

SYNOPSIS

Functions/Subroutines


subroutine dlar2v (N, X, Y, Z, INCX, C, S, INCC)
DLAR2V applies a vector of plane rotations with real cosines and real sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices.

Function/Subroutine Documentation

subroutine dlar2v (integerN, double precision, dimension( * )X, double precision, dimension( * )Y, double precision, dimension( * )Z, integerINCX, double precision, dimension( * )C, double precision, dimension( * )S, integerINCC)

DLAR2V applies a vector of plane rotations with real cosines and real sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices.

Purpose: 



 DLAR2V applies a vector of real plane rotations from both sides to


 a sequence of 2-by-2 real symmetric matrices, defined by the elements


 of the vectors x, y and z. For i = 1,2,...,n


    ( x(i)  z(i) ) := (  c(i)  s(i) ) ( x(i)  z(i) ) ( c(i) -s(i) )


    ( z(i)  y(i) )    ( -s(i)  c(i) ) ( z(i)  y(i) ) ( s(i)  c(i) )

Parameters:

N 



          N is INTEGER


          The number of plane rotations to be applied.

X



          X is DOUBLE PRECISION array,


                         dimension (1+(N-1)*INCX)


          The vector x.

Y



          Y is DOUBLE PRECISION array,


                         dimension (1+(N-1)*INCX)


          The vector y.

Z



          Z is DOUBLE PRECISION array,


                         dimension (1+(N-1)*INCX)


          The vector z.

INCX



          INCX is INTEGER


          The increment between elements of X, Y and Z. INCX > 0.

C



          C is DOUBLE PRECISION array, dimension (1+(N-1)*INCC)


          The cosines of the plane rotations.

S



          S is DOUBLE PRECISION array, dimension (1+(N-1)*INCC)


          The sines of the plane rotations.

INCC



          INCC is INTEGER


          The increment between elements of C and S. INCC > 0.

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

September 2012

Definition at line 111 of file dlar2v.f.

Author

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Tue Sep 25 2012 Version 3.4.2