zlargv.f(3) [debian man page]
zlargv.f(3) LAPACK zlargv.f(3) NAME
zlargv.f - SYNOPSIS
Functions/Subroutines subroutine zlargv (N, X, INCX, Y, INCY, C, INCC) ZLARGV Function/Subroutine Documentation subroutine zlargv (integerN, complex*16, dimension( * )X, integerINCX, complex*16, dimension( * )Y, integerINCY, double precision, dimension( * )C, integerINCC) ZLARGV 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: November 2011 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 Generated automatically by Doxygen for LAPACK from the source code. Version 3.4.1 Sun May 26 2013 zlargv.f(3)
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zlargv.f(3) LAPACK zlargv.f(3) 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 Generated automatically by Doxygen for LAPACK from the source code. Version 3.4.2 Tue Sep 25 2012 zlargv.f(3)