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LAPACK version 3.0
dspcon(3)

PURPOSE
  DSPCON - estimate the reciprocal of the condition number (in the 1-norm) of
  a real symmetric packed matrix A using the factorization A = U*D*U**T or A
  = L*D*L**T computed by DSPTRF

SYNTAX
  SUBROUTINE DSPCON( UPLO, N, AP, IPIV, ANORM, RCOND, WORK, IWORK, INFO )

      CHARACTER	     UPLO

      INTEGER	     INFO, N

      DOUBLE	     PRECISION ANORM, RCOND

      INTEGER	     IPIV( * ), IWORK( * )

      DOUBLE	     PRECISION AP( * ), WORK( * )

DESCRIPTION
  DSPCON estimates the reciprocal of the condition number (in the 1-norm) of
  a real symmetric packed matrix A using the factorization A = U*D*U**T or A
  = L*D*L**T computed by DSPTRF.  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) DOUBLE PRECISION 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 DSPTRF, 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 DSPTRF.

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

  RCOND	  (output) DOUBLE PRECISION
	  The reciprocal of the condition number of the matrix A, computed as
	  RCOND = 1/(ANORM * AINVNM), where AINVNM is an estimate of the 1-
	  norm of inv(A) computed in this routine.

  WORK	  (workspace) DOUBLE PRECISION array, dimension (2*N)

  IWORK	   (workspace) INTEGER array, dimension (N)

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