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clar2v.f(3) LAPACK clar2v.f(3)

NAME

clar2v.f

SYNOPSIS

Functions/Subroutines


subroutine clar2v (N, X, Y, Z, INCX, C, S, INCC)
CLAR2V applies a vector of plane rotations with real cosines and complex sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices.

Function/Subroutine Documentation

subroutine clar2v (integer N, complex, dimension( * ) X, complex, dimension( * ) Y, complex, dimension( * ) Z, integer INCX, real, dimension( * ) C, complex, dimension( * ) S, integer INCC)

CLAR2V applies a vector of plane rotations with real cosines and complex sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices.

Purpose:


CLAR2V applies a vector of complex plane rotations with real cosines
from both sides to a sequence of 2-by-2 complex Hermitian matrices,
defined by the elements of the vectors x, y and z. For i = 1,2,...,n
( x(i) z(i) ) :=
( conjg(z(i)) y(i) )
( c(i) conjg(s(i)) ) ( x(i) z(i) ) ( c(i) -conjg(s(i)) )
( -s(i) c(i) ) ( conjg(z(i)) y(i) ) ( s(i) c(i) )

Parameters:

N


N is INTEGER
The number of plane rotations to be applied.

X


X is COMPLEX array, dimension (1+(N-1)*INCX)
The vector x; the elements of x are assumed to be real.

Y


Y is COMPLEX array, dimension (1+(N-1)*INCX)
The vector y; the elements of y are assumed to be real.

Z


Z is COMPLEX 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 REAL array, dimension (1+(N-1)*INCC)
The cosines of the plane rotations.

S


S is COMPLEX 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:

December 2016

Definition at line 113 of file clar2v.f.

Author

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Tue Nov 14 2017 Version 3.8.0