ctpcon man page on Scientific

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

NAME
CTPCON  -  estimates the reciprocal of the condition number of a packed
triangular matrix A, in either the 1-norm or the infinity-norm

SYNOPSIS
SUBROUTINE CTPCON( NORM, UPLO, DIAG, N, AP, RCOND, WORK, RWORK, INFO )

CHARACTER	  DIAG, NORM, UPLO

INTEGER	  INFO, N

REAL		  RCOND

REAL		  RWORK( * )

COMPLEX	  AP( * ), WORK( * )

PURPOSE
CTPCON estimates the reciprocal of the condition	 number	 of  a	packed
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 reciprocal 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.

AP      (input) COMPLEX array, dimension (N*(N+1)/2)
The upper or lower triangular matrix A, packed columnwise in  a
linear  array.	The j-th column of A is stored in the array AP
as follows: if UPLO = 'U',  AP(i	 +  (j-1)*j/2)	=  A(i,j)  for
1<=i<=j;	 if  UPLO  =  'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for
j<=i<=n.	 If DIAG = 'U', the diagonal elements  of  A  are  not
referenced and are assumed to be 1.

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			     CTPCON(1)
```
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