.TH "zlargv.f" 3 "Wed Oct 15 2014" "Version 3.4.2" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME zlargv.f \- .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBzlargv\fP (N, X, INCX, Y, INCY, C, INCC)" .br .RI "\fI\fBZLARGV\fP generates a vector of plane rotations with real cosines and complex sines\&. \fP" .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine zlargv (integerN, complex*16, dimension( * )X, integerINCX, complex*16, dimension( * )Y, integerINCY, double precision, dimension( * )C, integerINCC)" .PP \fBZLARGV\fP generates a vector of plane rotations with real cosines and complex sines\&. .PP \fBPurpose: \fP .RS 4 .PP .nf 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. .fi .PP .RE .PP \fBParameters:\fP .RS 4 \fIN\fP .PP .nf N is INTEGER The number of plane rotations to be generated. .fi .PP .br \fIX\fP .PP .nf 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. .fi .PP .br \fIINCX\fP .PP .nf INCX is INTEGER The increment between elements of X. INCX > 0. .fi .PP .br \fIY\fP .PP .nf Y is COMPLEX*16 array, dimension (1+(N-1)*INCY) On entry, the vector y. On exit, the sines of the plane rotations. .fi .PP .br \fIINCY\fP .PP .nf INCY is INTEGER The increment between elements of Y. INCY > 0. .fi .PP .br \fIC\fP .PP .nf C is DOUBLE PRECISION array, dimension (1+(N-1)*INCC) The cosines of the plane rotations. .fi .PP .br \fIINCC\fP .PP .nf INCC is INTEGER The increment between elements of C. INCC > 0. .fi .PP .RE .PP \fBAuthor:\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBDate:\fP .RS 4 September 2012 .RE .PP \fBFurther Details: \fP .RS 4 .PP .nf 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. .fi .PP .RE .PP .PP Definition at line 123 of file zlargv\&.f\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.