--- rpl/lapack/lapack/ztpcon.f 2011/07/22 07:38:21 1.8 +++ rpl/lapack/lapack/ztpcon.f 2011/11/21 20:43:22 1.9 @@ -1,12 +1,139 @@ +*> \brief \b ZTPCON +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download ZTPCON + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE ZTPCON( NORM, UPLO, DIAG, N, AP, RCOND, WORK, RWORK, +* INFO ) +* +* .. Scalar Arguments .. +* CHARACTER DIAG, NORM, UPLO +* INTEGER INFO, N +* DOUBLE PRECISION RCOND +* .. +* .. Array Arguments .. +* DOUBLE PRECISION RWORK( * ) +* COMPLEX*16 AP( * ), WORK( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> ZTPCON 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)) ). +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] NORM +*> \verbatim +*> NORM is 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. +*> \endverbatim +*> +*> \param[in] UPLO +*> \verbatim +*> UPLO is CHARACTER*1 +*> = 'U': A is upper triangular; +*> = 'L': A is lower triangular. +*> \endverbatim +*> +*> \param[in] DIAG +*> \verbatim +*> DIAG is CHARACTER*1 +*> = 'N': A is non-unit triangular; +*> = 'U': A is unit triangular. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the matrix A. N >= 0. +*> \endverbatim +*> +*> \param[in] AP +*> \verbatim +*> AP is COMPLEX*16 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. +*> \endverbatim +*> +*> \param[out] RCOND +*> \verbatim +*> RCOND is DOUBLE PRECISION +*> The reciprocal of the condition number of the matrix A, +*> computed as RCOND = 1/(norm(A) * norm(inv(A))). +*> \endverbatim +*> +*> \param[out] WORK +*> \verbatim +*> WORK is COMPLEX*16 array, dimension (2*N) +*> \endverbatim +*> +*> \param[out] RWORK +*> \verbatim +*> RWORK is DOUBLE PRECISION array, dimension (N) +*> \endverbatim +*> +*> \param[out] INFO +*> \verbatim +*> INFO is INTEGER +*> = 0: successful exit +*> < 0: if INFO = -i, the i-th argument had an illegal value +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup complex16OTHERcomputational +* +* ===================================================================== SUBROUTINE ZTPCON( NORM, UPLO, DIAG, N, AP, RCOND, WORK, RWORK, $ INFO ) * -* -- LAPACK routine (version 3.2) -- +* -- LAPACK computational routine (version 3.4.0) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- -* November 2006 -* -* Modified to call ZLACN2 in place of ZLACON, 10 Feb 03, SJH. +* November 2011 * * .. Scalar Arguments .. CHARACTER DIAG, NORM, UPLO @@ -18,58 +145,6 @@ COMPLEX*16 AP( * ), WORK( * ) * .. * -* Purpose -* ======= -* -* ZTPCON 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*16 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) DOUBLE PRECISION -* The reciprocal of the condition number of the matrix A, -* computed as RCOND = 1/(norm(A) * norm(inv(A))). -* -* WORK (workspace) COMPLEX*16 array, dimension (2*N) -* -* RWORK (workspace) DOUBLE PRECISION array, dimension (N) -* -* INFO (output) INTEGER -* = 0: successful exit -* < 0: if INFO = -i, the i-th argument had an illegal value -* * ===================================================================== * * .. Parameters ..