--- rpl/lapack/lapack/zlangt.f 2010/12/21 13:53:50 1.7 +++ rpl/lapack/lapack/zlangt.f 2011/11/21 20:43:15 1.8 @@ -1,9 +1,115 @@ +*> \brief \b ZLANGT +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download ZLANGT + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* DOUBLE PRECISION FUNCTION ZLANGT( NORM, N, DL, D, DU ) +* +* .. Scalar Arguments .. +* CHARACTER NORM +* INTEGER N +* .. +* .. Array Arguments .. +* COMPLEX*16 D( * ), DL( * ), DU( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> ZLANGT returns the value of the one norm, or the Frobenius norm, or +*> the infinity norm, or the element of largest absolute value of a +*> complex tridiagonal matrix A. +*> \endverbatim +*> +*> \return ZLANGT +*> \verbatim +*> +*> ZLANGT = ( 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 ZLANGT as described +*> above. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the matrix A. N >= 0. When N = 0, ZLANGT is +*> set to zero. +*> \endverbatim +*> +*> \param[in] DL +*> \verbatim +*> DL is COMPLEX*16 array, dimension (N-1) +*> The (n-1) sub-diagonal elements of A. +*> \endverbatim +*> +*> \param[in] D +*> \verbatim +*> D is COMPLEX*16 array, dimension (N) +*> The diagonal elements of A. +*> \endverbatim +*> +*> \param[in] DU +*> \verbatim +*> DU is COMPLEX*16 array, dimension (N-1) +*> The (n-1) super-diagonal elements of A. +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup complex16OTHERauxiliary +* +* ===================================================================== DOUBLE PRECISION FUNCTION ZLANGT( NORM, N, DL, D, DU ) * -* -- 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 @@ -13,51 +119,6 @@ COMPLEX*16 D( * ), DL( * ), DU( * ) * .. * -* Purpose -* ======= -* -* ZLANGT returns the value of the one norm, or the Frobenius norm, or -* the infinity norm, or the element of largest absolute value of a -* complex tridiagonal matrix A. -* -* Description -* =========== -* -* ZLANGT returns the value -* -* ZLANGT = ( 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 ZLANGT as described -* above. -* -* N (input) INTEGER -* The order of the matrix A. N >= 0. When N = 0, ZLANGT is -* set to zero. -* -* DL (input) COMPLEX*16 array, dimension (N-1) -* The (n-1) sub-diagonal elements of A. -* -* D (input) COMPLEX*16 array, dimension (N) -* The diagonal elements of A. -* -* DU (input) COMPLEX*16 array, dimension (N-1) -* The (n-1) super-diagonal elements of A. -* * ===================================================================== * * .. Parameters ..