.TH "TESTING/LIN/zlaptm.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME TESTING/LIN/zlaptm.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBzlaptm\fP (uplo, n, nrhs, alpha, d, e, x, ldx, beta, b, ldb)" .br .RI "\fBZLAPTM\fP " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine zlaptm (character uplo, integer n, integer nrhs, double precision alpha, double precision, dimension( * ) d, complex*16, dimension( * ) e, complex*16, dimension( ldx, * ) x, integer ldx, double precision beta, complex*16, dimension( ldb, * ) b, integer ldb)" .PP \fBZLAPTM\fP .PP \fBPurpose:\fP .RS 4 .PP .nf !> !> ZLAPTM multiplies an N by NRHS matrix X by a Hermitian tridiagonal !> matrix A and stores the result in a matrix B\&. The operation has the !> form !> !> B := alpha * A * X + beta * B !> !> where alpha may be either 1\&. or -1\&. and beta may be 0\&., 1\&., or -1\&. !> .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIUPLO\fP .PP .nf !> UPLO is CHARACTER !> Specifies whether the superdiagonal or the subdiagonal of the !> tridiagonal matrix A is stored\&. !> = 'U': Upper, E is the superdiagonal of A\&. !> = 'L': Lower, E is the subdiagonal of A\&. !> .fi .PP .br \fIN\fP .PP .nf !> N is INTEGER !> The order of the matrix A\&. N >= 0\&. !> .fi .PP .br \fINRHS\fP .PP .nf !> NRHS is INTEGER !> The number of right hand sides, i\&.e\&., the number of columns !> of the matrices X and B\&. !> .fi .PP .br \fIALPHA\fP .PP .nf !> ALPHA is DOUBLE PRECISION !> The scalar alpha\&. ALPHA must be 1\&. or -1\&.; otherwise, !> it is assumed to be 0\&. !> .fi .PP .br \fID\fP .PP .nf !> D is DOUBLE PRECISION array, dimension (N) !> The n diagonal elements of the tridiagonal matrix A\&. !> .fi .PP .br \fIE\fP .PP .nf !> E is COMPLEX*16 array, dimension (N-1) !> The (n-1) subdiagonal or superdiagonal elements of A\&. !> .fi .PP .br \fIX\fP .PP .nf !> X is COMPLEX*16 array, dimension (LDX,NRHS) !> The N by NRHS matrix X\&. !> .fi .PP .br \fILDX\fP .PP .nf !> LDX is INTEGER !> The leading dimension of the array X\&. LDX >= max(N,1)\&. !> .fi .PP .br \fIBETA\fP .PP .nf !> BETA is DOUBLE PRECISION !> The scalar beta\&. BETA must be 0\&., 1\&., or -1\&.; otherwise, !> it is assumed to be 1\&. !> .fi .PP .br \fIB\fP .PP .nf !> B is COMPLEX*16 array, dimension (LDB,NRHS) !> On entry, the N by NRHS matrix B\&. !> On exit, B is overwritten by the matrix expression !> B := alpha * A * X + beta * B\&. !> .fi .PP .br \fILDB\fP .PP .nf !> LDB is INTEGER !> The leading dimension of the array B\&. LDB >= max(N,1)\&. !> .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 \fB127\fP of file \fBzlaptm\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.