# zlargv.f - Man Page

SRC/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 (integer n, complex*16, dimension( * ) x, integer incx, complex*16, dimension( * ) y, integer incy, double precision, dimension( * ) c, integer incc)

**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.

**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 **121** of file **zlargv.f**.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

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

Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK