CSPCON man page on IRIX

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CSPCON(3F)							    CSPCON(3F)

NAME
     CSPCON - estimate the reciprocal of the condition number (in the 1-norm)
     of a complex symmetric packed matrix A using the factorization A =
     U*D*U**T or A = L*D*L**T computed by CSPTRF

SYNOPSIS
     SUBROUTINE CSPCON( UPLO, N, AP, IPIV, ANORM, RCOND, WORK, INFO )

	 CHARACTER	UPLO

	 INTEGER	INFO, N

	 REAL		ANORM, RCOND

	 INTEGER	IPIV( * )

	 COMPLEX	AP( * ), WORK( * )

PURPOSE
     CSPCON estimates the reciprocal of the condition number (in the 1-norm)
     of a complex symmetric packed matrix A using the factorization A =
     U*D*U**T or A = L*D*L**T computed by CSPTRF.

     An estimate is obtained for norm(inv(A)), and the reciprocal of the
     condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).

ARGUMENTS
     UPLO    (input) CHARACTER*1
	     Specifies whether the details of the factorization are stored as
	     an upper or lower triangular matrix.  = 'U':  Upper triangular,
	     form is A = U*D*U**T;
	     = 'L':  Lower triangular, form is A = L*D*L**T.

     N	     (input) INTEGER
	     The order of the matrix A.	 N >= 0.

     AP	     (input) COMPLEX array, dimension (N*(N+1)/2)
	     The block diagonal matrix D and the multipliers used to obtain
	     the factor U or L as computed by CSPTRF, stored as a packed
	     triangular matrix.

     IPIV    (input) INTEGER array, dimension (N)
	     Details of the interchanges and the block structure of D as
	     determined by CSPTRF.

     ANORM   (input) REAL
	     The 1-norm of the original matrix A.

     RCOND   (output) REAL
	     The reciprocal of the condition number of the matrix A, computed
	     as RCOND = 1/(ANORM * AINVNM), where AINVNM is an estimate of the

									Page 1

CSPCON(3F)							    CSPCON(3F)

	     1-norm of inv(A) computed in this routine.

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

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

									Page 2

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