ctrtrs man page on Scientific

```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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