--- rpl/lapack/lapack/dlansy.f 2010/12/21 13:53:30 1.7 +++ rpl/lapack/lapack/dlansy.f 2011/11/21 20:42:56 1.8 @@ -1,9 +1,131 @@ +*> \brief \b DLANSY +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download DLANSY + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* DOUBLE PRECISION FUNCTION DLANSY( NORM, UPLO, N, A, LDA, WORK ) +* +* .. Scalar Arguments .. +* CHARACTER NORM, UPLO +* INTEGER LDA, N +* .. +* .. Array Arguments .. +* DOUBLE PRECISION A( LDA, * ), WORK( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> DLANSY returns the value of the one norm, or the Frobenius norm, or +*> the infinity norm, or the element of largest absolute value of a +*> real symmetric matrix A. +*> \endverbatim +*> +*> \return DLANSY +*> \verbatim +*> +*> DLANSY = ( max(abs(A(i,j))), NORM = 'M' or 'm' +*> ( +*> ( norm1(A), NORM = '1', 'O' or 'o' +*> ( +*> ( normI(A), NORM = 'I' or 'i' +*> ( +*> ( normF(A), NORM = 'F', 'f', 'E' or 'e' +*> +*> where norm1 denotes the one norm of a matrix (maximum column sum), +*> normI denotes the infinity norm of a matrix (maximum row sum) and +*> normF denotes the Frobenius norm of a matrix (square root of sum of +*> squares). Note that max(abs(A(i,j))) is not a consistent matrix norm. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] NORM +*> \verbatim +*> NORM is CHARACTER*1 +*> Specifies the value to be returned in DLANSY as described +*> above. +*> \endverbatim +*> +*> \param[in] UPLO +*> \verbatim +*> UPLO is CHARACTER*1 +*> Specifies whether the upper or lower triangular part of the +*> symmetric matrix A is to be referenced. +*> = 'U': Upper triangular part of A is referenced +*> = 'L': Lower triangular part of A is referenced +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the matrix A. N >= 0. When N = 0, DLANSY is +*> set to zero. +*> \endverbatim +*> +*> \param[in] A +*> \verbatim +*> A is DOUBLE PRECISION array, dimension (LDA,N) +*> The symmetric matrix A. If UPLO = 'U', the leading n by n +*> upper triangular part of A contains the upper triangular part +*> of the matrix A, and the strictly lower triangular part of A +*> is not referenced. If UPLO = 'L', the leading n by n lower +*> triangular part of A contains the lower triangular part of +*> the matrix A, and the strictly upper triangular part of A is +*> not referenced. +*> \endverbatim +*> +*> \param[in] LDA +*> \verbatim +*> LDA is INTEGER +*> The leading dimension of the array A. LDA >= max(N,1). +*> \endverbatim +*> +*> \param[out] WORK +*> \verbatim +*> WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)), +*> where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise, +*> WORK is not referenced. +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup doubleSYauxiliary +* +* ===================================================================== DOUBLE PRECISION FUNCTION DLANSY( NORM, UPLO, N, A, LDA, WORK ) * -* -- LAPACK auxiliary routine (version 3.2) -- +* -- LAPACK auxiliary 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 +* November 2011 * * .. Scalar Arguments .. CHARACTER NORM, UPLO @@ -13,64 +135,6 @@ DOUBLE PRECISION A( LDA, * ), WORK( * ) * .. * -* Purpose -* ======= -* -* DLANSY returns the value of the one norm, or the Frobenius norm, or -* the infinity norm, or the element of largest absolute value of a -* real symmetric matrix A. -* -* Description -* =========== -* -* DLANSY returns the value -* -* DLANSY = ( max(abs(A(i,j))), NORM = 'M' or 'm' -* ( -* ( norm1(A), NORM = '1', 'O' or 'o' -* ( -* ( normI(A), NORM = 'I' or 'i' -* ( -* ( normF(A), NORM = 'F', 'f', 'E' or 'e' -* -* where norm1 denotes the one norm of a matrix (maximum column sum), -* normI denotes the infinity norm of a matrix (maximum row sum) and -* normF denotes the Frobenius norm of a matrix (square root of sum of -* squares). Note that max(abs(A(i,j))) is not a consistent matrix norm. -* -* Arguments -* ========= -* -* NORM (input) CHARACTER*1 -* Specifies the value to be returned in DLANSY as described -* above. -* -* UPLO (input) CHARACTER*1 -* Specifies whether the upper or lower triangular part of the -* symmetric matrix A is to be referenced. -* = 'U': Upper triangular part of A is referenced -* = 'L': Lower triangular part of A is referenced -* -* N (input) INTEGER -* The order of the matrix A. N >= 0. When N = 0, DLANSY is -* set to zero. -* -* A (input) DOUBLE PRECISION array, dimension (LDA,N) -* The symmetric matrix A. If UPLO = 'U', the leading n by n -* upper triangular part of A contains the upper triangular part -* of the matrix A, and the strictly lower triangular part of A -* is not referenced. If UPLO = 'L', the leading n by n lower -* triangular part of A contains the lower triangular part of -* the matrix A, and the strictly upper triangular part of A is -* not referenced. -* -* LDA (input) INTEGER -* The leading dimension of the array A. LDA >= max(N,1). -* -* WORK (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK)), -* where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise, -* WORK is not referenced. -* * ===================================================================== * * .. Parameters ..