# slar2v.f - Man Page

SRC/slar2v.f

## Synopsis

### Functions/Subroutines

subroutine **slar2v** (n, x, y, z, incx, c, s, incc)**SLAR2V** applies a vector of plane rotations with real cosines and real sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices.

## Function/Subroutine Documentation

### subroutine slar2v (integer n, real, dimension( * ) x, real, dimension( * ) y, real, dimension( * ) z, integer incx, real, dimension( * ) c, real, dimension( * ) s, integer incc)

**SLAR2V** applies a vector of plane rotations with real cosines and real sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices.

**Purpose:**

SLAR2V applies a vector of real plane rotations from both sides to a sequence of 2-by-2 real symmetric matrices, defined by the elements of the vectors x, y and z. For i = 1,2,...,n ( x(i) z(i) ) := ( c(i) s(i) ) ( x(i) z(i) ) ( c(i) -s(i) ) ( z(i) y(i) ) ( -s(i) c(i) ) ( z(i) y(i) ) ( s(i) c(i) )

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

*X*X is REAL array, dimension (1+(N-1)*INCX) The vector x.

*Y*Y is REAL array, dimension (1+(N-1)*INCX) The vector y.

*Z*Z is REAL 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 REAL 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.

Definition at line **109** of file **slar2v.f**.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page slar2v(3) is an alias of slar2v.f(3).

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