Diff for /rpl/lapack/lapack/zlansb.f between versions 1.7 and 1.8

version 1.7, 2010/12/21 13:53:50 version 1.8, 2011/11/21 20:43:15
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   *> \brief \b ZLANSB
   *
   *  =========== DOCUMENTATION ===========
   *
   * Online html documentation available at 
   *            http://www.netlib.org/lapack/explore-html/ 
   *
   *> \htmlonly
   *> Download ZLANSB + dependencies 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlansb.f"> 
   *> [TGZ]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlansb.f"> 
   *> [ZIP]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlansb.f"> 
   *> [TXT]</a>
   *> \endhtmlonly 
   *
   *  Definition:
   *  ===========
   *
   *       DOUBLE PRECISION FUNCTION ZLANSB( NORM, UPLO, N, K, AB, LDAB,
   *                        WORK )
   * 
   *       .. Scalar Arguments ..
   *       CHARACTER          NORM, UPLO
   *       INTEGER            K, LDAB, N
   *       ..
   *       .. Array Arguments ..
   *       DOUBLE PRECISION   WORK( * )
   *       COMPLEX*16         AB( LDAB, * )
   *       ..
   *  
   *
   *> \par Purpose:
   *  =============
   *>
   *> \verbatim
   *>
   *> ZLANSB  returns the value of the one norm,  or the Frobenius norm, or
   *> the  infinity norm,  or the element of  largest absolute value  of an
   *> n by n symmetric band matrix A,  with k super-diagonals.
   *> \endverbatim
   *>
   *> \return ZLANSB
   *> \verbatim
   *>
   *>    ZLANSB = ( 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 ZLANSB as described
   *>          above.
   *> \endverbatim
   *>
   *> \param[in] UPLO
   *> \verbatim
   *>          UPLO is CHARACTER*1
   *>          Specifies whether the upper or lower triangular part of the
   *>          band matrix A is supplied.
   *>          = 'U':  Upper triangular part is supplied
   *>          = 'L':  Lower triangular part is supplied
   *> \endverbatim
   *>
   *> \param[in] N
   *> \verbatim
   *>          N is INTEGER
   *>          The order of the matrix A.  N >= 0.  When N = 0, ZLANSB is
   *>          set to zero.
   *> \endverbatim
   *>
   *> \param[in] K
   *> \verbatim
   *>          K is INTEGER
   *>          The number of super-diagonals or sub-diagonals of the
   *>          band matrix A.  K >= 0.
   *> \endverbatim
   *>
   *> \param[in] AB
   *> \verbatim
   *>          AB is COMPLEX*16 array, dimension (LDAB,N)
   *>          The upper or lower triangle of the symmetric band matrix A,
   *>          stored in the first K+1 rows of AB.  The j-th column of A is
   *>          stored in the j-th column of the array AB as follows:
   *>          if UPLO = 'U', AB(k+1+i-j,j) = A(i,j) for max(1,j-k)<=i<=j;
   *>          if UPLO = 'L', AB(1+i-j,j)   = A(i,j) for j<=i<=min(n,j+k).
   *> \endverbatim
   *>
   *> \param[in] LDAB
   *> \verbatim
   *>          LDAB is INTEGER
   *>          The leading dimension of the array AB.  LDAB >= K+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 complex16OTHERauxiliary
   *
   *  =====================================================================
       DOUBLE PRECISION FUNCTION ZLANSB( NORM, UPLO, N, K, AB, LDAB,        DOUBLE PRECISION FUNCTION ZLANSB( NORM, UPLO, N, K, AB, LDAB,
      $                 WORK )       $                 WORK )
 *  *
 *  -- LAPACK auxiliary routine (version 3.2) --  *  -- LAPACK auxiliary routine (version 3.4.0) --
 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --  *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
 *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--  *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
 *     November 2006  *     November 2011
 *  *
 *     .. Scalar Arguments ..  *     .. Scalar Arguments ..
       CHARACTER          NORM, UPLO        CHARACTER          NORM, UPLO
Line 15 Line 144
       COMPLEX*16         AB( LDAB, * )        COMPLEX*16         AB( LDAB, * )
 *     ..  *     ..
 *  *
 *  Purpose  
 *  =======  
 *  
 *  ZLANSB  returns the value of the one norm,  or the Frobenius norm, or  
 *  the  infinity norm,  or the element of  largest absolute value  of an  
 *  n by n symmetric band matrix A,  with k super-diagonals.  
 *  
 *  Description  
 *  ===========  
 *  
 *  ZLANSB returns the value  
 *  
 *     ZLANSB = ( 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 ZLANSB as described  
 *          above.  
 *  
 *  UPLO    (input) CHARACTER*1  
 *          Specifies whether the upper or lower triangular part of the  
 *          band matrix A is supplied.  
 *          = 'U':  Upper triangular part is supplied  
 *          = 'L':  Lower triangular part is supplied  
 *  
 *  N       (input) INTEGER  
 *          The order of the matrix A.  N >= 0.  When N = 0, ZLANSB is  
 *          set to zero.  
 *  
 *  K       (input) INTEGER  
 *          The number of super-diagonals or sub-diagonals of the  
 *          band matrix A.  K >= 0.  
 *  
 *  AB      (input) COMPLEX*16 array, dimension (LDAB,N)  
 *          The upper or lower triangle of the symmetric band matrix A,  
 *          stored in the first K+1 rows of AB.  The j-th column of A is  
 *          stored in the j-th column of the array AB as follows:  
 *          if UPLO = 'U', AB(k+1+i-j,j) = A(i,j) for max(1,j-k)<=i<=j;  
 *          if UPLO = 'L', AB(1+i-j,j)   = A(i,j) for j<=i<=min(n,j+k).  
 *  
 *  LDAB    (input) INTEGER  
 *          The leading dimension of the array AB.  LDAB >= K+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 ..  *     .. Parameters ..

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changed lines
  Added in v.1.8


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