.TH "SRC/csyr.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME SRC/csyr.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBcsyr\fP (uplo, n, alpha, x, incx, a, lda)" .br .RI "\fBCSYR\fP performs the symmetric rank-1 update of a complex symmetric matrix\&. " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine csyr (character uplo, integer n, complex alpha, complex, dimension( * ) x, integer incx, complex, dimension( lda, * ) a, integer lda)" .PP \fBCSYR\fP performs the symmetric rank-1 update of a complex symmetric matrix\&. .PP \fBPurpose:\fP .RS 4 .PP .nf !> !> CSYR performs the symmetric rank 1 operation !> !> A := alpha*x*x**H + A, !> !> where alpha is a complex scalar, x is an n element vector and A is an !> n by n symmetric matrix\&. !> .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIUPLO\fP .PP .nf !> UPLO is CHARACTER*1 !> On entry, UPLO specifies whether the upper or lower !> triangular part of the array A is to be referenced as !> follows: !> !> UPLO = 'U' or 'u' Only the upper triangular part of A !> is to be referenced\&. !> !> UPLO = 'L' or 'l' Only the lower triangular part of A !> is to be referenced\&. !> !> Unchanged on exit\&. !> .fi .PP .br \fIN\fP .PP .nf !> N is INTEGER !> On entry, N specifies the order of the matrix A\&. !> N must be at least zero\&. !> Unchanged on exit\&. !> .fi .PP .br \fIALPHA\fP .PP .nf !> ALPHA is COMPLEX !> On entry, ALPHA specifies the scalar alpha\&. !> Unchanged on exit\&. !> .fi .PP .br \fIX\fP .PP .nf !> X is COMPLEX array, dimension at least !> ( 1 + ( N - 1 )*abs( INCX ) )\&. !> Before entry, the incremented array X must contain the N- !> element vector x\&. !> Unchanged on exit\&. !> .fi .PP .br \fIINCX\fP .PP .nf !> INCX is INTEGER !> On entry, INCX specifies the increment for the elements of !> X\&. INCX must not be zero\&. !> Unchanged on exit\&. !> .fi .PP .br \fIA\fP .PP .nf !> A is COMPLEX array, dimension ( LDA, N ) !> Before entry, with UPLO = 'U' or 'u', the leading n by n !> upper triangular part of the array A must contain the upper !> triangular part of the symmetric matrix and the strictly !> lower triangular part of A is not referenced\&. On exit, the !> upper triangular part of the array A is overwritten by the !> upper triangular part of the updated matrix\&. !> Before entry, with UPLO = 'L' or 'l', the leading n by n !> lower triangular part of the array A must contain the lower !> triangular part of the symmetric matrix and the strictly !> upper triangular part of A is not referenced\&. On exit, the !> lower triangular part of the array A is overwritten by the !> lower triangular part of the updated matrix\&. !> .fi .PP .br \fILDA\fP .PP .nf !> LDA is INTEGER !> On entry, LDA specifies the first dimension of A as declared !> in the calling (sub) program\&. LDA must be at least !> max( 1, N )\&. !> Unchanged on exit\&. !> .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 \fB134\fP of file \fBcsyr\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.