ctrtrs man page on Scientific

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CTRTRS(1)		 LAPACK routine (version 3.2)		     CTRTRS(1)

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

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

	   CHARACTER	  DIAG, TRANS, UPLO

	   INTEGER	  INFO, LDA, LDB, N, NRHS

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

PURPOSE
       CTRTRS solves a triangular system of the form 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 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	trian‐
	       gular  matrix,  and  the strictly lower triangular 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 elements of A are also not refer‐
	       enced and are assumed to be 1.

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

       B       (input/output) COMPLEX 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, indi‐
	       cating that the matrix is singular and the solutions X have not
	       been computed.

 LAPACK routine (version 3.2)	 November 2008			     CTRTRS(1)
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