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slar2v.f(3) LAPACK slar2v.f(3)

NAME

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.

Date:

December 2016

Definition at line 112 of file slar2v.f.

Author

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Tue Nov 14 2017 Version 3.8.0