Annotation of rpl/lapack/lapack/dlaset.f, revision 1.8

1.8     ! bertrand    1: *> \brief \b DLASET
        !             2: *
        !             3: *  =========== DOCUMENTATION ===========
        !             4: *
        !             5: * Online html documentation available at 
        !             6: *            http://www.netlib.org/lapack/explore-html/ 
        !             7: *
        !             8: *> \htmlonly
        !             9: *> Download DLASET + dependencies 
        !            10: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaset.f"> 
        !            11: *> [TGZ]</a> 
        !            12: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaset.f"> 
        !            13: *> [ZIP]</a> 
        !            14: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaset.f"> 
        !            15: *> [TXT]</a>
        !            16: *> \endhtmlonly 
        !            17: *
        !            18: *  Definition:
        !            19: *  ===========
        !            20: *
        !            21: *       SUBROUTINE DLASET( UPLO, M, N, ALPHA, BETA, A, LDA )
        !            22: * 
        !            23: *       .. Scalar Arguments ..
        !            24: *       CHARACTER          UPLO
        !            25: *       INTEGER            LDA, M, N
        !            26: *       DOUBLE PRECISION   ALPHA, BETA
        !            27: *       ..
        !            28: *       .. Array Arguments ..
        !            29: *       DOUBLE PRECISION   A( LDA, * )
        !            30: *       ..
        !            31: *  
        !            32: *
        !            33: *> \par Purpose:
        !            34: *  =============
        !            35: *>
        !            36: *> \verbatim
        !            37: *>
        !            38: *> DLASET initializes an m-by-n matrix 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 strictly lower
        !            50: *>                      triangular part of A is not changed.
        !            51: *>          = 'L':      Lower triangular part is set; the strictly upper
        !            52: *>                      triangular part of A is not changed.
        !            53: *>          Otherwise:  All of the matrix A is set.
        !            54: *> \endverbatim
        !            55: *>
        !            56: *> \param[in] M
        !            57: *> \verbatim
        !            58: *>          M is INTEGER
        !            59: *>          The number of rows of the matrix A.  M >= 0.
        !            60: *> \endverbatim
        !            61: *>
        !            62: *> \param[in] N
        !            63: *> \verbatim
        !            64: *>          N is INTEGER
        !            65: *>          The number of columns of the matrix A.  N >= 0.
        !            66: *> \endverbatim
        !            67: *>
        !            68: *> \param[in] ALPHA
        !            69: *> \verbatim
        !            70: *>          ALPHA is DOUBLE PRECISION
        !            71: *>          The constant to which the offdiagonal elements are to be set.
        !            72: *> \endverbatim
        !            73: *>
        !            74: *> \param[in] BETA
        !            75: *> \verbatim
        !            76: *>          BETA is DOUBLE PRECISION
        !            77: *>          The constant to which the diagonal elements are to be set.
        !            78: *> \endverbatim
        !            79: *>
        !            80: *> \param[in,out] A
        !            81: *> \verbatim
        !            82: *>          A is DOUBLE PRECISION array, dimension (LDA,N)
        !            83: *>          On exit, the leading m-by-n submatrix of A is set as follows:
        !            84: *>
        !            85: *>          if UPLO = 'U', A(i,j) = ALPHA, 1<=i<=j-1, 1<=j<=n,
        !            86: *>          if UPLO = 'L', A(i,j) = ALPHA, j+1<=i<=m, 1<=j<=n,
        !            87: *>          otherwise,     A(i,j) = ALPHA, 1<=i<=m, 1<=j<=n, i.ne.j,
        !            88: *>
        !            89: *>          and, for all UPLO, A(i,i) = BETA, 1<=i<=min(m,n).
        !            90: *> \endverbatim
        !            91: *>
        !            92: *> \param[in] LDA
        !            93: *> \verbatim
        !            94: *>          LDA is INTEGER
        !            95: *>          The leading dimension of the array A.  LDA >= max(1,M).
        !            96: *> \endverbatim
        !            97: *
        !            98: *  Authors:
        !            99: *  ========
        !           100: *
        !           101: *> \author Univ. of Tennessee 
        !           102: *> \author Univ. of California Berkeley 
        !           103: *> \author Univ. of Colorado Denver 
        !           104: *> \author NAG Ltd. 
        !           105: *
        !           106: *> \date November 2011
        !           107: *
        !           108: *> \ingroup auxOTHERauxiliary
        !           109: *
        !           110: *  =====================================================================
1.1       bertrand  111:       SUBROUTINE DLASET( UPLO, M, N, ALPHA, BETA, A, LDA )
                    112: *
1.8     ! bertrand  113: *  -- LAPACK auxiliary routine (version 3.4.0) --
1.1       bertrand  114: *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
                    115: *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
1.8     ! bertrand  116: *     November 2011
1.1       bertrand  117: *
                    118: *     .. Scalar Arguments ..
                    119:       CHARACTER          UPLO
                    120:       INTEGER            LDA, M, N
                    121:       DOUBLE PRECISION   ALPHA, BETA
                    122: *     ..
                    123: *     .. Array Arguments ..
                    124:       DOUBLE PRECISION   A( LDA, * )
                    125: *     ..
                    126: *
                    127: * =====================================================================
                    128: *
                    129: *     .. Local Scalars ..
                    130:       INTEGER            I, J
                    131: *     ..
                    132: *     .. External Functions ..
                    133:       LOGICAL            LSAME
                    134:       EXTERNAL           LSAME
                    135: *     ..
                    136: *     .. Intrinsic Functions ..
                    137:       INTRINSIC          MIN
                    138: *     ..
                    139: *     .. Executable Statements ..
                    140: *
                    141:       IF( LSAME( UPLO, 'U' ) ) THEN
                    142: *
                    143: *        Set the strictly upper triangular or trapezoidal part of the
                    144: *        array to ALPHA.
                    145: *
                    146:          DO 20 J = 2, N
                    147:             DO 10 I = 1, MIN( J-1, M )
                    148:                A( I, J ) = ALPHA
                    149:    10       CONTINUE
                    150:    20    CONTINUE
                    151: *
                    152:       ELSE IF( LSAME( UPLO, 'L' ) ) THEN
                    153: *
                    154: *        Set the strictly lower triangular or trapezoidal part of the
                    155: *        array to ALPHA.
                    156: *
                    157:          DO 40 J = 1, MIN( M, N )
                    158:             DO 30 I = J + 1, M
                    159:                A( I, J ) = ALPHA
                    160:    30       CONTINUE
                    161:    40    CONTINUE
                    162: *
                    163:       ELSE
                    164: *
                    165: *        Set the leading m-by-n submatrix to ALPHA.
                    166: *
                    167:          DO 60 J = 1, N
                    168:             DO 50 I = 1, M
                    169:                A( I, J ) = ALPHA
                    170:    50       CONTINUE
                    171:    60    CONTINUE
                    172:       END IF
                    173: *
                    174: *     Set the first min(M,N) diagonal elements to BETA.
                    175: *
                    176:       DO 70 I = 1, MIN( M, N )
                    177:          A( I, I ) = BETA
                    178:    70 CONTINUE
                    179: *
                    180:       RETURN
                    181: *
                    182: *     End of DLASET
                    183: *
                    184:       END

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