SRC/zlar2v.f(3) | Library Functions Manual | SRC/zlar2v.f(3) |
NAME
SRC/zlar2v.f
SYNOPSIS
Functions/Subroutines
subroutine zlar2v (n, x, y, z, incx, c, s, incc)
ZLAR2V 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 zlar2v (integer n, complex*16, dimension( * ) x, complex*16, dimension( * ) y, complex*16, dimension( * ) z, integer incx, double precision, dimension( * ) c, complex*16, dimension( * ) s, integer incc)
ZLAR2V 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:
ZLAR2V 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*16 array, dimension (1+(N-1)*INCX) The vector x; the elements of x are assumed to be real.
Y
Y is COMPLEX*16 array, dimension (1+(N-1)*INCX) The vector y; the elements of y are assumed to be real.
Z
Z is COMPLEX*16 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 DOUBLE PRECISION array, dimension (1+(N-1)*INCC) The cosines of the plane rotations.
S
S is COMPLEX*16 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 110 of file zlar2v.f.
Author
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