Login or Register to Ask a Question and Join Our Community

Linux and UNIX Man Pages

Linux & Unix Commands - Search Man Pages

zspcon(l) [redhat man page]

ZSPCON(l)								 )								 ZSPCON(l)

NAME

       ZSPCON - 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 ZSPTRF

SYNOPSIS

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

	   CHARACTER	  UPLO

	   INTEGER	  INFO, N

	   DOUBLE	  PRECISION ANORM, RCOND

	   INTEGER	  IPIV( * )

	   COMPLEX*16	  AP( * ), WORK( * )

PURPOSE

       ZSPCON 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 ZSPTRF.  An estimate is obtained for norm(inv(A)), and the reciprocal of the condition number is com-
       puted 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*16 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 ZSPTRF, stored as a packed triangu-
	       lar matrix.

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

       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) COMPLEX*16 array, dimension (2*N)

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

LAPACK version 3.0						   15 June 2000 							 ZSPCON(l)

Check Out this Related Man Page

CHPCON(l)								 )								 CHPCON(l)

NAME

       CHPCON - estimate the reciprocal of the condition number of a complex Hermitian packed matrix A using the factorization A = U*D*U**H or A =
       L*D*L**H computed by CHPTRF

SYNOPSIS

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

	   CHARACTER	  UPLO

	   INTEGER	  INFO, N

	   REAL 	  ANORM, RCOND

	   INTEGER	  IPIV( * )

	   COMPLEX	  AP( * ), WORK( * )

PURPOSE

       CHPCON estimates the reciprocal of the condition number of a complex Hermitian packed matrix A using the factorization A = U*D*U**H or A  =
       L*D*L**H computed by CHPTRF.  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**H;
	       = 'L':  Lower triangular, form is A = L*D*L**H.

       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 CHPTRF, stored as a packed triangu-
	       lar matrix.

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

       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
	       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

LAPACK version 3.0						   15 June 2000 							 CHPCON(l)
Man Page