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NAME
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: 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.
Author
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