.TH "SRC/zlagtm.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
SRC/zlagtm.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBzlagtm\fP (trans, n, nrhs, alpha, dl, d, du, x, ldx, beta, b, ldb)"
.br
.RI "\fBZLAGTM\fP performs a matrix-matrix product of the form C = αAB+βC, where A is a tridiagonal matrix, B and C are rectangular matrices, and α and β are scalars, which may be 0, 1, or -1\&. "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine zlagtm (character trans, integer n, integer nrhs, double precision alpha, complex*16, dimension( * ) dl, complex*16, dimension( * ) d, complex*16, dimension( * ) du, complex*16, dimension( ldx, * ) x, integer ldx, double precision beta, complex*16, dimension( ldb, * ) b, integer ldb)"

.PP
\fBZLAGTM\fP performs a matrix-matrix product of the form C = αAB+βC, where A is a tridiagonal matrix, B and C are rectangular matrices, and α and β are scalars, which may be 0, 1, or -1\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 ZLAGTM performs a matrix-matrix product of the form

    B := alpha * A * X + beta * B

 where A is a tridiagonal matrix of order N, B and X are N by NRHS
 matrices, and alpha and beta are real scalars, each of which may be
 0\&., 1\&., or -1\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fITRANS\fP 
.PP
.nf
          TRANS is CHARACTER*1
          Specifies the operation applied to A\&.
          = 'N':  No transpose, B := alpha * A * X + beta * B
          = 'T':  Transpose,    B := alpha * A**T * X + beta * B
          = 'C':  Conjugate transpose, B := alpha * A**H * X + beta * B
.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 0\&., 1\&., or -1\&.; otherwise,
          it is assumed to be 0\&.
.fi
.PP
.br
\fIDL\fP 
.PP
.nf
          DL is COMPLEX*16 array, dimension (N-1)
          The (n-1) sub-diagonal elements of T\&.
.fi
.PP
.br
\fID\fP 
.PP
.nf
          D is COMPLEX*16 array, dimension (N)
          The diagonal elements of T\&.
.fi
.PP
.br
\fIDU\fP 
.PP
.nf
          DU is COMPLEX*16 array, dimension (N-1)
          The (n-1) super-diagonal elements of T\&.
.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 \fB143\fP of file \fBzlagtm\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.