.TH "TESTING/LIN/claptm.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME TESTING/LIN/claptm.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBclaptm\fP (uplo, n, nrhs, alpha, d, e, x, ldx, beta, b, ldb)" .br .RI "\fBCLAPTM\fP " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine claptm (character uplo, integer n, integer nrhs, real alpha, real, dimension( * ) d, complex, dimension( * ) e, complex, dimension( ldx, * ) x, integer ldx, real beta, complex, dimension( ldb, * ) b, integer ldb)" .PP \fBCLAPTM\fP .PP \fBPurpose:\fP .RS 4 .PP .nf CLAPTM 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 REAL 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 REAL array, dimension (N) The n diagonal elements of the tridiagonal matrix A\&. .fi .PP .br \fIE\fP .PP .nf E is COMPLEX array, dimension (N-1) The (n-1) subdiagonal or superdiagonal elements of A\&. .fi .PP .br \fIX\fP .PP .nf X is COMPLEX 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 REAL 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 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 \fBclaptm\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.