ctrcon man page on Scientific

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```CTRCON(1)		 LAPACK routine (version 3.2)		     CTRCON(1)

NAME
CTRCON - estimates the reciprocal of the condition number of a triangu‐
lar matrix A, in either the 1-norm or the infinity-norm

SYNOPSIS
SUBROUTINE CTRCON( NORM, UPLO, DIAG, N, A,  LDA,	 RCOND,	 WORK,	RWORK,
INFO )

CHARACTER	  DIAG, NORM, UPLO

INTEGER	  INFO, LDA, N

REAL		  RCOND

REAL		  RWORK( * )

COMPLEX	  A( LDA, * ), WORK( * )

PURPOSE
CTRCON estimates the reciprocal of the condition number of a triangular
matrix A, in either the 1-norm or the infinity-norm.  The norm of A  is
computed	 and an estimate is obtained for norm(inv(A)), then the recip‐
rocal of the condition number is computed as
RCOND = 1 / ( norm(A) * norm(inv(A)) ).

ARGUMENTS
NORM    (input) CHARACTER*1
Specifies whether the 1-norm condition number or the  infinity-
norm condition number is required:
= '1' or 'O':  1-norm;
= 'I':	      Infinity-norm.

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

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.

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).

RCOND   (output) REAL
The reciprocal of the condition number of the  matrix  A,  com‐
puted as RCOND = 1/(norm(A) * norm(inv(A))).

WORK    (workspace) COMPLEX array, dimension (2*N)

RWORK   (workspace) REAL array, dimension (N)

INFO    (output) INTEGER
= 0:  successful exit
< 0:  if INFO = -i, the i-th argument had an illegal value

LAPACK routine (version 3.2)	 November 2008			     CTRCON(1)
```
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