NAME

SRC/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 (integer n, double precision, dimension( * ) x, double precision, dimension( * ) y, double precision, dimension( * ) z, integer incx, double precision, dimension( * ) c, double precision, dimension( * ) s, integer 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.

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 is INTEGER


          The number of plane rotations to be applied.



          X is DOUBLE PRECISION array,


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


          The vector x.



          Y is DOUBLE PRECISION array,


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


          The vector y.



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


          The cosines of the plane rotations.



          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.

Definition at line 109 of file dlar2v.f.

Author

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