clargv.f man page

clargv.f

Synopsis

Functions/Subroutines

subroutine clargv (N, X, INCX, Y, INCY, C, INCC)
CLARGV generates a vector of plane rotations with real cosines and complex sines.

Function/Subroutine Documentation

subroutine clargv (integer N, complex, dimension( * ) X, integer INCX, complex, dimension( * ) Y, integer INCY, real, dimension( * ) C, integer INCC)

CLARGV generates a vector of plane rotations with real cosines and complex sines.

Purpose:

CLARGV generates a vector of complex plane rotations with real
cosines, determined by elements of the complex vectors x and y.
For i = 1,2,...,n

(        c(i)   s(i) ) ( x(i) ) = ( r(i) )
( -conjg(s(i))  c(i) ) ( y(i) ) = (   0  )

where c(i)**2 + ABS(s(i))**2 = 1

The following conventions are used (these are the same as in CLARTG,
but differ from the BLAS1 routine CROTG):
If y(i)=0, then c(i)=1 and s(i)=0.
If x(i)=0, then c(i)=0 and s(i) is chosen so that r(i) is real.
Parameters:

N

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

X

X is COMPLEX array, dimension (1+(N-1)*INCX)
On entry, the vector x.
On exit, x(i) is overwritten by r(i), for i = 1,...,n.

INCX

INCX is INTEGER
The increment between elements of X. INCX > 0.

Y

Y is COMPLEX array, dimension (1+(N-1)*INCY)
On entry, the vector y.
On exit, the sines of the plane rotations.

INCY

INCY is INTEGER
The increment between elements of Y. INCY > 0.

C

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

INCC

INCC is INTEGER
The increment between elements of C. INCC > 0.
Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

December 2016

Further Details:

6-6-96 - Modified with a new algorithm by W. Kahan and J. Demmel

This version has a few statements commented out for thread safety
(machine parameters are computed on each entry). 10 feb 03, SJH.

Definition at line 124 of file clargv.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

The man page clargv(3) is an alias of clargv.f(3).

Tue Nov 14 2017 Version 3.8.0 LAPACK