File:  [local] / rpl / lapack / lapack / zlaset.f
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Wed Aug 22 09:48:37 2012 UTC (11 years, 8 months ago) by bertrand
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CVS tags: rpl-4_1_9, rpl-4_1_10, HEAD
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    1: *> \brief \b ZLASET
    2: *
    3: *  =========== DOCUMENTATION ===========
    4: *
    5: * Online html documentation available at 
    6: *            http://www.netlib.org/lapack/explore-html/ 
    7: *
    8: *> \htmlonly
    9: *> Download ZLASET + dependencies 
   10: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlaset.f"> 
   11: *> [TGZ]</a> 
   12: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlaset.f"> 
   13: *> [ZIP]</a> 
   14: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlaset.f"> 
   15: *> [TXT]</a>
   16: *> \endhtmlonly 
   17: *
   18: *  Definition:
   19: *  ===========
   20: *
   21: *       SUBROUTINE ZLASET( UPLO, M, N, ALPHA, BETA, A, LDA )
   22:    23: *       .. Scalar Arguments ..
   24: *       CHARACTER          UPLO
   25: *       INTEGER            LDA, M, N
   26: *       COMPLEX*16         ALPHA, BETA
   27: *       ..
   28: *       .. Array Arguments ..
   29: *       COMPLEX*16         A( LDA, * )
   30: *       ..
   31: *  
   32: *
   33: *> \par Purpose:
   34: *  =============
   35: *>
   36: *> \verbatim
   37: *>
   38: *> ZLASET initializes a 2-D array A to BETA on the diagonal and
   39: *> ALPHA on the offdiagonals.
   40: *> \endverbatim
   41: *
   42: *  Arguments:
   43: *  ==========
   44: *
   45: *> \param[in] UPLO
   46: *> \verbatim
   47: *>          UPLO is CHARACTER*1
   48: *>          Specifies the part of the matrix A to be set.
   49: *>          = 'U':      Upper triangular part is set. The lower triangle
   50: *>                      is unchanged.
   51: *>          = 'L':      Lower triangular part is set. The upper triangle
   52: *>                      is unchanged.
   53: *>          Otherwise:  All of the matrix A is set.
   54: *> \endverbatim
   55: *>
   56: *> \param[in] M
   57: *> \verbatim
   58: *>          M is INTEGER
   59: *>          On entry, M specifies the number of rows of A.
   60: *> \endverbatim
   61: *>
   62: *> \param[in] N
   63: *> \verbatim
   64: *>          N is INTEGER
   65: *>          On entry, N specifies the number of columns of A.
   66: *> \endverbatim
   67: *>
   68: *> \param[in] ALPHA
   69: *> \verbatim
   70: *>          ALPHA is COMPLEX*16
   71: *>          All the offdiagonal array elements are set to ALPHA.
   72: *> \endverbatim
   73: *>
   74: *> \param[in] BETA
   75: *> \verbatim
   76: *>          BETA is COMPLEX*16
   77: *>          All the diagonal array elements are set to BETA.
   78: *> \endverbatim
   79: *>
   80: *> \param[in,out] A
   81: *> \verbatim
   82: *>          A is COMPLEX*16 array, dimension (LDA,N)
   83: *>          On entry, the m by n matrix A.
   84: *>          On exit, A(i,j) = ALPHA, 1 <= i <= m, 1 <= j <= n, i.ne.j;
   85: *>                   A(i,i) = BETA , 1 <= i <= min(m,n)
   86: *> \endverbatim
   87: *>
   88: *> \param[in] LDA
   89: *> \verbatim
   90: *>          LDA is INTEGER
   91: *>          The leading dimension of the array A.  LDA >= max(1,M).
   92: *> \endverbatim
   93: *
   94: *  Authors:
   95: *  ========
   96: *
   97: *> \author Univ. of Tennessee 
   98: *> \author Univ. of California Berkeley 
   99: *> \author Univ. of Colorado Denver 
  100: *> \author NAG Ltd. 
  101: *
  102: *> \date November 2011
  103: *
  104: *> \ingroup complex16OTHERauxiliary
  105: *
  106: *  =====================================================================
  107:       SUBROUTINE ZLASET( UPLO, M, N, ALPHA, BETA, A, LDA )
  108: *
  109: *  -- LAPACK auxiliary routine (version 3.4.0) --
  110: *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
  111: *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
  112: *     November 2011
  113: *
  114: *     .. Scalar Arguments ..
  115:       CHARACTER          UPLO
  116:       INTEGER            LDA, M, N
  117:       COMPLEX*16         ALPHA, BETA
  118: *     ..
  119: *     .. Array Arguments ..
  120:       COMPLEX*16         A( LDA, * )
  121: *     ..
  122: *
  123: *  =====================================================================
  124: *
  125: *     .. Local Scalars ..
  126:       INTEGER            I, J
  127: *     ..
  128: *     .. External Functions ..
  129:       LOGICAL            LSAME
  130:       EXTERNAL           LSAME
  131: *     ..
  132: *     .. Intrinsic Functions ..
  133:       INTRINSIC          MIN
  134: *     ..
  135: *     .. Executable Statements ..
  136: *
  137:       IF( LSAME( UPLO, 'U' ) ) THEN
  138: *
  139: *        Set the diagonal to BETA and the strictly upper triangular
  140: *        part of the array to ALPHA.
  141: *
  142:          DO 20 J = 2, N
  143:             DO 10 I = 1, MIN( J-1, M )
  144:                A( I, J ) = ALPHA
  145:    10       CONTINUE
  146:    20    CONTINUE
  147:          DO 30 I = 1, MIN( N, M )
  148:             A( I, I ) = BETA
  149:    30    CONTINUE
  150: *
  151:       ELSE IF( LSAME( UPLO, 'L' ) ) THEN
  152: *
  153: *        Set the diagonal to BETA and the strictly lower triangular
  154: *        part of the array to ALPHA.
  155: *
  156:          DO 50 J = 1, MIN( M, N )
  157:             DO 40 I = J + 1, M
  158:                A( I, J ) = ALPHA
  159:    40       CONTINUE
  160:    50    CONTINUE
  161:          DO 60 I = 1, MIN( N, M )
  162:             A( I, I ) = BETA
  163:    60    CONTINUE
  164: *
  165:       ELSE
  166: *
  167: *        Set the array to BETA on the diagonal and ALPHA on the
  168: *        offdiagonal.
  169: *
  170:          DO 80 J = 1, N
  171:             DO 70 I = 1, M
  172:                A( I, J ) = ALPHA
  173:    70       CONTINUE
  174:    80    CONTINUE
  175:          DO 90 I = 1, MIN( M, N )
  176:             A( I, I ) = BETA
  177:    90    CONTINUE
  178:       END IF
  179: *
  180:       RETURN
  181: *
  182: *     End of ZLASET
  183: *
  184:       END

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