.TH "BLAS/SRC/chpmv.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME BLAS/SRC/chpmv.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBchpmv\fP (uplo, n, alpha, ap, x, incx, beta, y, incy)" .br .RI "\fBCHPMV\fP " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine chpmv (character uplo, integer n, complex alpha, complex, dimension(*) ap, complex, dimension(*) x, integer incx, complex beta, complex, dimension(*) y, integer incy)" .PP \fBCHPMV\fP .PP \fBPurpose:\fP .RS 4 .PP .nf CHPMV performs the matrix-vector operation y := alpha*A*x + beta*y, where alpha and beta are scalars, x and y are n element vectors and A is an n by n hermitian matrix, supplied in packed form\&. .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 matrix A is supplied in the packed array AP as follows: UPLO = 'U' or 'u' The upper triangular part of A is supplied in AP\&. UPLO = 'L' or 'l' The lower triangular part of A is supplied in AP\&. .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\&. .fi .PP .br \fIALPHA\fP .PP .nf ALPHA is COMPLEX On entry, ALPHA specifies the scalar alpha\&. .fi .PP .br \fIAP\fP .PP .nf AP is COMPLEX array, dimension at least ( ( n*( n + 1 ) )/2 )\&. Before entry with UPLO = 'U' or 'u', the array AP must contain the upper triangular part of the hermitian matrix packed sequentially, column by column, so that AP( 1 ) contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 ) respectively, and so on\&. Before entry with UPLO = 'L' or 'l', the array AP must contain the lower triangular part of the hermitian matrix packed sequentially, column by column, so that AP( 1 ) contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 ) respectively, and so on\&. Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero\&. .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\&. .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\&. .fi .PP .br \fIBETA\fP .PP .nf BETA is COMPLEX On entry, BETA specifies the scalar beta\&. When BETA is supplied as zero then Y need not be set on input\&. .fi .PP .br \fIY\fP .PP .nf Y is COMPLEX array, dimension at least ( 1 + ( n - 1 )*abs( INCY ) )\&. Before entry, the incremented array Y must contain the n element vector y\&. On exit, Y is overwritten by the updated vector y\&. .fi .PP .br \fIINCY\fP .PP .nf INCY is INTEGER On entry, INCY specifies the increment for the elements of Y\&. INCY must not be zero\&. .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 \fBFurther Details:\fP .RS 4 .PP .nf Level 2 Blas routine\&. The vector and matrix arguments are not referenced when N = 0, or M = 0 -- Written on 22-October-1986\&. Jack Dongarra, Argonne National Lab\&. Jeremy Du Croz, Nag Central Office\&. Sven Hammarling, Nag Central Office\&. Richard Hanson, Sandia National Labs\&. .fi .PP .RE .PP .PP Definition at line \fB148\fP of file \fBchpmv\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.