# clar2v.f - Man Page

## Synopsis

### Functions/Subroutines

subroutine **clar2v** (**N**, X, Y, Z, INCX, C, S, INCC)**CLAR2V** applies a vector of plane rotations with real cosines and complex sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices.

## Function/Subroutine Documentation

### subroutine clar2v (integer N, complex, dimension( * ) X, complex, dimension( * ) Y, complex, dimension( * ) Z, integer INCX, real, dimension( * ) C, complex, dimension( * ) S, integer INCC)

**CLAR2V** applies a vector of plane rotations with real cosines and complex sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices.

**Purpose:**

CLAR2V applies a vector of complex plane rotations with real cosines from both sides to a sequence of 2-by-2 complex Hermitian matrices, defined by the elements of the vectors x, y and z. For i = 1,2,...,n ( x(i) z(i) ) := ( conjg(z(i)) y(i) ) ( c(i) conjg(s(i)) ) ( x(i) z(i) ) ( c(i) -conjg(s(i)) ) ( -s(i) c(i) ) ( conjg(z(i)) y(i) ) ( s(i) c(i) )

**Parameters:***N*N is INTEGER The number of plane rotations to be applied.

*X*X is COMPLEX array, dimension (1+(N-1)*INCX) The vector x; the elements of x are assumed to be real.

*Y*Y is COMPLEX array, dimension (1+(N-1)*INCX) The vector y; the elements of y are assumed to be real.

*Z*Z is COMPLEX array, dimension (1+(N-1)*INCX) The vector z.

*INCX*INCX is INTEGER The increment between elements of X, Y and Z. INCX > 0.

*C*C is REAL array, dimension (1+(N-1)*INCC) The cosines of the plane rotations.

*S*S is COMPLEX array, dimension (1+(N-1)*INCC) The sines of the plane rotations.

*INCC*INCC is INTEGER The increment between elements of C and S. INCC > 0.

**Author:**Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

**Date:**December 2016

Definition at line 113 of file clar2v.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page clar2v(3) is an alias of clar2v.f(3).

Tue Nov 14 2017 Version 3.8.0 LAPACK