zlargv.f man page

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.

Date:

December 2016

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 124 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 14 2017 Version 3.8.0 LAPACK