.TH "SRC/clar2v.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME SRC/clar2v.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBclar2v\fP (n, x, y, z, incx, c, s, incc)" .br .RI "\fBCLAR2V\fP 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\&. " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine clar2v (integer n, complex, dimension( * ) x, complex, dimension( * ) y, complex, dimension( * ) z, integer incx, real, dimension( * ) c, complex, dimension( * ) s, integer incc)" .PP \fBCLAR2V\fP 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\&. .PP \fBPurpose:\fP .RS 4 .PP .nf !> !> 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) ) !> .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIN\fP .PP .nf !> N is INTEGER !> The number of plane rotations to be applied\&. !> .fi .PP .br \fIX\fP .PP .nf !> X is COMPLEX array, dimension (1+(N-1)*INCX) !> The vector x; the elements of x are assumed to be real\&. !> .fi .PP .br \fIY\fP .PP .nf !> Y is COMPLEX array, dimension (1+(N-1)*INCX) !> The vector y; the elements of y are assumed to be real\&. !> .fi .PP .br \fIZ\fP .PP .nf !> Z is COMPLEX array, dimension (1+(N-1)*INCX) !> The vector z\&. !> .fi .PP .br \fIINCX\fP .PP .nf !> INCX is INTEGER !> The increment between elements of X, Y and Z\&. INCX > 0\&. !> .fi .PP .br \fIC\fP .PP .nf !> C is REAL array, dimension (1+(N-1)*INCC) !> The cosines of the plane rotations\&. !> .fi .PP .br \fIS\fP .PP .nf !> S is COMPLEX array, dimension (1+(N-1)*INCC) !> The sines of the plane rotations\&. !> .fi .PP .br \fIINCC\fP .PP .nf !> INCC is INTEGER !> The increment between elements of C and S\&. INCC > 0\&. !> .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP .PP Definition at line \fB110\fP of file \fBclar2v\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.