1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193
|
*> \brief \b CSYSWAPR
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
*> Download CSYSWAPR + dependencies
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/csyswapr.f">
*> [TGZ]</a>
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/csyswapr.f">
*> [ZIP]</a>
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/csyswapr.f">
*> [TXT]</a>
*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE CSYSWAPR( UPLO, N, A, LDA, I1, I2)
*
* .. Scalar Arguments ..
* CHARACTER UPLO
* INTEGER I1, I2, LDA, N
* ..
* .. Array Arguments ..
* COMPLEX A( LDA, N )
*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> CSYSWAPR applies an elementary permutation on the rows and the columns of
*> a symmetric matrix.
*> \endverbatim
*
* Arguments:
* ==========
*
*> \param[in] UPLO
*> \verbatim
*> UPLO is CHARACTER*1
*> Specifies whether the details of the factorization are stored
*> as an upper or lower triangular matrix.
*> = 'U': Upper triangular, form is A = U*D*U**T;
*> = 'L': Lower triangular, form is A = L*D*L**T.
*> \endverbatim
*>
*> \param[in] N
*> \verbatim
*> N is INTEGER
*> The order of the matrix A. N >= 0.
*> \endverbatim
*>
*> \param[in,out] A
*> \verbatim
*> A is COMPLEX array, dimension (LDA,N)
*> On entry, the NB diagonal matrix D and the multipliers
*> used to obtain the factor U or L as computed by CSYTRF.
*>
*> On exit, if INFO = 0, the (symmetric) inverse of the original
*> matrix. If UPLO = 'U', the upper triangular part of the
*> inverse is formed and the part of A below the diagonal is not
*> referenced; if UPLO = 'L' the lower triangular part of the
*> inverse is formed and the part of A above the diagonal is
*> not referenced.
*> \endverbatim
*>
*> \param[in] LDA
*> \verbatim
*> LDA is INTEGER
*> The leading dimension of the array A. LDA >= max(1,N).
*> \endverbatim
*>
*> \param[in] I1
*> \verbatim
*> I1 is INTEGER
*> Index of the first row to swap
*> \endverbatim
*>
*> \param[in] I2
*> \verbatim
*> I2 is INTEGER
*> Index of the second row to swap
*> \endverbatim
*
* Authors:
* ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \date December 2016
*
*> \ingroup complexSYauxiliary
*
* =====================================================================
SUBROUTINE CSYSWAPR( UPLO, N, A, LDA, I1, I2)
*
* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
* December 2016
*
* .. Scalar Arguments ..
CHARACTER UPLO
INTEGER I1, I2, LDA, N
* ..
* .. Array Arguments ..
COMPLEX A( LDA, N )
*
* =====================================================================
*
* ..
* .. Local Scalars ..
LOGICAL UPPER
INTEGER I
COMPLEX TMP
*
* .. External Functions ..
LOGICAL LSAME
EXTERNAL LSAME
* ..
* .. External Subroutines ..
EXTERNAL CSWAP
* ..
* .. Executable Statements ..
*
UPPER = LSAME( UPLO, 'U' )
IF (UPPER) THEN
*
* UPPER
* first swap
* - swap column I1 and I2 from I1 to I1-1
CALL CSWAP( I1-1, A(1,I1), 1, A(1,I2), 1 )
*
* second swap :
* - swap A(I1,I1) and A(I2,I2)
* - swap row I1 from I1+1 to I2-1 with col I2 from I1+1 to I2-1
TMP=A(I1,I1)
A(I1,I1)=A(I2,I2)
A(I2,I2)=TMP
*
DO I=1,I2-I1-1
TMP=A(I1,I1+I)
A(I1,I1+I)=A(I1+I,I2)
A(I1+I,I2)=TMP
END DO
*
* third swap
* - swap row I1 and I2 from I2+1 to N
DO I=I2+1,N
TMP=A(I1,I)
A(I1,I)=A(I2,I)
A(I2,I)=TMP
END DO
*
ELSE
*
* LOWER
* first swap
* - swap row I1 and I2 from I1 to I1-1
CALL CSWAP ( I1-1, A(I1,1), LDA, A(I2,1), LDA )
*
* second swap :
* - swap A(I1,I1) and A(I2,I2)
* - swap col I1 from I1+1 to I2-1 with row I2 from I1+1 to I2-1
TMP=A(I1,I1)
A(I1,I1)=A(I2,I2)
A(I2,I2)=TMP
*
DO I=1,I2-I1-1
TMP=A(I1+I,I1)
A(I1+I,I1)=A(I2,I1+I)
A(I2,I1+I)=TMP
END DO
*
* third swap
* - swap col I1 and I2 from I2+1 to N
DO I=I2+1,N
TMP=A(I,I1)
A(I,I1)=A(I,I2)
A(I,I2)=TMP
END DO
*
ENDIF
END SUBROUTINE CSYSWAPR
|