.TH CLAR2V 1 "November 2006" " LAPACK auxiliary routine (version 3.1) " " LAPACK auxiliary routine (version 3.1) " .SH NAME CLAR2V - a vector of complex plane rotations with real cosines from both sides to a sequence of 2-by-2 complex Hermitian matrices, .SH SYNOPSIS .TP 19 SUBROUTINE CLAR2V( N, X, Y, Z, INCX, C, S, INCC ) .TP 19 .ti +4 INTEGER INCC, INCX, N .TP 19 .ti +4 REAL C( * ) .TP 19 .ti +4 COMPLEX S( * ), X( * ), Y( * ), Z( * ) .SH 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) ) := .br ( conjg(z(i)) y(i) ) .br ( 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) ) .SH ARGUMENTS .TP 8 N (input) INTEGER The number of plane rotations to be applied. .TP 8 X (input/output) COMPLEX array, dimension (1+(N-1)*INCX) The vector x; the elements of x are assumed to be real. .TP 8 Y (input/output) COMPLEX array, dimension (1+(N-1)*INCX) The vector y; the elements of y are assumed to be real. .TP 8 Z (input/output) COMPLEX array, dimension (1+(N-1)*INCX) The vector z. .TP 8 INCX (input) INTEGER The increment between elements of X, Y and Z. INCX > 0. .TP 8 C (input) REAL array, dimension (1+(N-1)*INCC) The cosines of the plane rotations. .TP 8 S (input) COMPLEX array, dimension (1+(N-1)*INCC) The sines of the plane rotations. .TP 8 INCC (input) INTEGER The increment between elements of C and S. INCC > 0.