File:  [local] / rpl / lapack / lapack / zlaset.f
Revision 1.19: download - view: text, annotated - select for diffs - revision graph
Mon Aug 7 08:39:32 2023 UTC (8 months, 3 weeks ago) by bertrand
Branches: MAIN
CVS tags: rpl-4_1_35, rpl-4_1_34, HEAD
Première mise à jour de lapack et blas.

    1: *> \brief \b ZLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
    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[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: *> \ingroup complex16OTHERauxiliary
  103: *
  104: *  =====================================================================
  105:       SUBROUTINE ZLASET( UPLO, M, N, ALPHA, BETA, A, LDA )
  106: *
  107: *  -- LAPACK auxiliary routine --
  108: *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
  109: *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
  110: *
  111: *     .. Scalar Arguments ..
  112:       CHARACTER          UPLO
  113:       INTEGER            LDA, M, N
  114:       COMPLEX*16         ALPHA, BETA
  115: *     ..
  116: *     .. Array Arguments ..
  117:       COMPLEX*16         A( LDA, * )
  118: *     ..
  119: *
  120: *  =====================================================================
  121: *
  122: *     .. Local Scalars ..
  123:       INTEGER            I, J
  124: *     ..
  125: *     .. External Functions ..
  126:       LOGICAL            LSAME
  127:       EXTERNAL           LSAME
  128: *     ..
  129: *     .. Intrinsic Functions ..
  130:       INTRINSIC          MIN
  131: *     ..
  132: *     .. Executable Statements ..
  133: *
  134:       IF( LSAME( UPLO, 'U' ) ) THEN
  135: *
  136: *        Set the diagonal to BETA and the strictly upper triangular
  137: *        part of the array to ALPHA.
  138: *
  139:          DO 20 J = 2, N
  140:             DO 10 I = 1, MIN( J-1, M )
  141:                A( I, J ) = ALPHA
  142:    10       CONTINUE
  143:    20    CONTINUE
  144:          DO 30 I = 1, MIN( N, M )
  145:             A( I, I ) = BETA
  146:    30    CONTINUE
  147: *
  148:       ELSE IF( LSAME( UPLO, 'L' ) ) THEN
  149: *
  150: *        Set the diagonal to BETA and the strictly lower triangular
  151: *        part of the array to ALPHA.
  152: *
  153:          DO 50 J = 1, MIN( M, N )
  154:             DO 40 I = J + 1, M
  155:                A( I, J ) = ALPHA
  156:    40       CONTINUE
  157:    50    CONTINUE
  158:          DO 60 I = 1, MIN( N, M )
  159:             A( I, I ) = BETA
  160:    60    CONTINUE
  161: *
  162:       ELSE
  163: *
  164: *        Set the array to BETA on the diagonal and ALPHA on the
  165: *        offdiagonal.
  166: *
  167:          DO 80 J = 1, N
  168:             DO 70 I = 1, M
  169:                A( I, J ) = ALPHA
  170:    70       CONTINUE
  171:    80    CONTINUE
  172:          DO 90 I = 1, MIN( M, N )
  173:             A( I, I ) = BETA
  174:    90    CONTINUE
  175:       END IF
  176: *
  177:       RETURN
  178: *
  179: *     End of ZLASET
  180: *
  181:       END

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