--- rpl/lapack/lapack/zheswapr.f 2011/07/24 10:30:17 1.1 +++ rpl/lapack/lapack/zheswapr.f 2023/08/07 08:39:24 1.12 @@ -1,9 +1,108 @@ +*> \brief \b ZHESWAPR applies an elementary permutation on the rows and columns of a Hermitian matrix. +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download ZHESWAPR + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE ZHESWAPR( UPLO, N, A, LDA, I1, I2) +* +* .. Scalar Arguments .. +* CHARACTER UPLO +* INTEGER I1, I2, LDA, N +* .. +* .. Array Arguments .. +* COMPLEX*16 A( LDA, N ) +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> ZHESWAPR applies an elementary permutation on the rows and the columns of +*> a hermitian 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*16 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. +* +*> \ingroup complex16HEauxiliary +* +* ===================================================================== SUBROUTINE ZHESWAPR( UPLO, N, A, LDA, I1, I2) * -* -- LAPACK auxiliary routine (version 3.3.1) -- +* -- LAPACK auxiliary routine -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- -* -- April 2011 -- * * .. Scalar Arguments .. CHARACTER UPLO @@ -12,44 +111,6 @@ * .. Array Arguments .. COMPLEX*16 A( LDA, N ) * -* Purpose -* ======= -* -* ZHESWAPR applies an elementary permutation on the rows and the columns of -* a hermitian matrix. -* -* Arguments -* ========= -* -* UPLO (input) 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. -* -* N (input) INTEGER -* The order of the matrix A. N >= 0. -* -* A (input/output) COMPLEX*16 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. -* -* LDA (input) INTEGER -* The leading dimension of the array A. LDA >= max(1,N). -* -* I1 (input) INTEGER -* Index of the first row to swap -* -* I2 (input) INTEGER -* Index of the second row to swap -* * ===================================================================== * * .. @@ -72,14 +133,14 @@ * * UPPER * first swap -* - swap column I1 and I2 from I1 to I1-1 +* - swap column I1 and I2 from I1 to I1-1 CALL ZSWAP( 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 * - swap A(I2,I1) and A(I1,I2) - + TMP=A(I1,I1) A(I1,I1)=A(I2,I2) A(I2,I2)=TMP @@ -105,12 +166,12 @@ * * LOWER * first swap -* - swap row I1 and I2 from 1 to I1-1 +* - swap row I1 and I2 from 1 to I1-1 CALL ZSWAP ( 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 +* - swap col I1 from I1+1 to I2-1 with row I2 from I1+1 to I2-1 * - swap A(I2,I1) and A(I1,I2) TMP=A(I1,I1) @@ -134,6 +195,6 @@ END DO * ENDIF - + END SUBROUTINE ZHESWAPR