zlargv.f (3) - Linux Manuals

NAME

zlargv.f -

SYNOPSIS

Functions/Subroutines

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

Function/Subroutine Documentation

subroutine zlargv (integerN, complex*16, dimension( * )X, integerINCX, complex*16, dimension( * )Y, integerINCY, double precision, dimension( * )C, integerINCC)

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

Purpose:

 ZLARGV 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 ZLARTG,
 but differ from the BLAS1 routine ZROTG):
    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*16 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*16 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 DOUBLE PRECISION 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:

September 2012

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 123 of file zlargv.f.

Author

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