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RedHat 9 (Linux i386) - man page for ztrtrs (redhat section l)

ZTRTRS(l)					)					ZTRTRS(l)

NAME
       ZTRTRS - solve a triangular system of the form  A * X = B, A**T * X = B, or A**H * X = B,

SYNOPSIS
       SUBROUTINE ZTRTRS( UPLO, TRANS, DIAG, N, NRHS, A, LDA, B, LDB, INFO )

	   CHARACTER	  DIAG, TRANS, UPLO

	   INTEGER	  INFO, LDA, LDB, N, NRHS

	   COMPLEX*16	  A( LDA, * ), B( LDB, * )

PURPOSE
       ZTRTRS  solves  a  triangular system of the form A * X = B, A**T * X = B, or A**H * X = B,
       where A is a triangular matrix of order N, and B is an N-by-NRHS matrix.  A check is  made
       to verify that A is nonsingular.

ARGUMENTS
       UPLO    (input) CHARACTER*1
	       = 'U':  A is upper triangular;
	       = 'L':  A is lower triangular.

       TRANS   (input) CHARACTER*1
	       Specifies the form of the system of equations:
	       = 'N':  A * X = B     (No transpose)
	       = 'T':  A**T * X = B  (Transpose)
	       = 'C':  A**H * X = B  (Conjugate transpose)

       DIAG    (input) CHARACTER*1
	       = 'N':  A is non-unit triangular;
	       = 'U':  A is unit triangular.

       N       (input) INTEGER
	       The order of the matrix A.  N >= 0.

       NRHS    (input) INTEGER
	       The number of right hand sides, i.e., the number of columns of the matrix B.  NRHS
	       >= 0.

       A       (input) COMPLEX*16 array, dimension (LDA,N)
	       The triangular matrix A.  If UPLO = 'U', the leading N-by-N upper triangular  part
	       of the array A contains the upper triangular matrix, and the strictly lower trian-
	       gular part of A is not referenced.  If UPLO = 'L', the leading N-by-N lower trian-
	       gular  part  of the array A contains the lower triangular matrix, and the strictly
	       upper triangular part of A is not referenced.  If DIAG = 'U',  the  diagonal  ele-
	       ments of A are also not referenced and are assumed to be 1.

       LDA     (input) INTEGER
	       The leading dimension of the array A.  LDA >= max(1,N).

       B       (input/output) COMPLEX*16 array, dimension (LDB,NRHS)
	       On entry, the right hand side matrix B.	On exit, if INFO = 0, the solution matrix
	       X.

       LDB     (input) INTEGER
	       The leading dimension of the array B.  LDB >= max(1,N).

       INFO    (output) INTEGER
	       = 0:  successful exit
	       < 0: if INFO = -i, the i-th argument had an illegal value
	       > 0: if INFO = i, the i-th diagonal element of A  is  zero,  indicating	that  the
	       matrix is singular and the solutions X have not been computed.

LAPACK version 3.0			   15 June 2000 				ZTRTRS(l)


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