dtrtrs(l) [redhat man page]

DTRTRS(l)								 )								 DTRTRS(l)

NAME

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

SYNOPSIS

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

	   CHARACTER	  DIAG, TRANS, UPLO

	   INTEGER	  INFO, LDA, LDB, N, NRHS

	   DOUBLE	  PRECISION A( LDA, * ), B( LDB, * )

PURPOSE

       DTRTRS  solves  a triangular system of the form A * X = B or A**T * 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 = 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) DOUBLE PRECISION 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 triangular part of A is not referenced.	If UPLO = 'L', the leading N-by-N lower triangular 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 elements 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) DOUBLE PRECISION 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 							 DTRTRS(l)

dtrtrs.f(3)							      LAPACK							       dtrtrs.f(3)

NAME

       dtrtrs.f -

SYNOPSIS

   Functions/Subroutines
       subroutine dtrtrs (UPLO, TRANS, DIAG, N, NRHS, A, LDA, B, LDB, INFO)
	   DTRTRS

Function/Subroutine Documentation
   subroutine dtrtrs (characterUPLO, characterTRANS, characterDIAG, integerN, integerNRHS, double precision, dimension( lda, * )A, integerLDA,
       double precision, dimension( ldb, * )B, integerLDB, integerINFO)
       DTRTRS

       Purpose:

	    DTRTRS solves a triangular system of the form

	       A * X = B  or  A**T * 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.

       Parameters:
	   UPLO

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

	   TRANS

		     TRANS is 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 = Transpose)

	   DIAG

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

	   N

		     N is INTEGER
		     The order of the matrix A.  N >= 0.

	   NRHS

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

	   A

		     A is DOUBLE PRECISION 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 triangular part of
		     A is not referenced.  If UPLO = 'L', the leading N-by-N lower
		     triangular 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 elements of A are
		     also not referenced and are assumed to be 1.

	   LDA

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

	   B

		     B is DOUBLE PRECISION array, dimension (LDB,NRHS)
		     On entry, the right hand side matrix B.
		     On exit, if INFO = 0, the solution matrix X.

	   LDB

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

	   INFO

		     INFO is 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.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Definition at line 140 of file dtrtrs.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.1							  Sun May 26 2013						       dtrtrs.f(3)