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author | jofret | 2009-04-28 07:17:00 +0000 |
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committer | jofret | 2009-04-28 07:17:00 +0000 |
commit | 8c8d2f518968ce7057eec6aa5cd5aec8faab861a (patch) | |
tree | 3dd1788b71d6a3ce2b73d2d475a3133580e17530 /src/lib/lapack/dsytri.f | |
parent | 9f652ffc16a310ac6641a9766c5b9e2671e0e9cb (diff) | |
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Moving lapack to right place
Diffstat (limited to 'src/lib/lapack/dsytri.f')
-rw-r--r-- | src/lib/lapack/dsytri.f | 312 |
1 files changed, 0 insertions, 312 deletions
diff --git a/src/lib/lapack/dsytri.f b/src/lib/lapack/dsytri.f deleted file mode 100644 index 361de9a3..00000000 --- a/src/lib/lapack/dsytri.f +++ /dev/null @@ -1,312 +0,0 @@ - SUBROUTINE DSYTRI( UPLO, N, A, LDA, IPIV, WORK, INFO ) -* -* -- LAPACK routine (version 3.1) -- -* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. -* November 2006 -* -* .. Scalar Arguments .. - CHARACTER UPLO - INTEGER INFO, LDA, N -* .. -* .. Array Arguments .. - INTEGER IPIV( * ) - DOUBLE PRECISION A( LDA, * ), WORK( * ) -* .. -* -* Purpose -* ======= -* -* DSYTRI computes the inverse of a real symmetric indefinite matrix -* A using the factorization A = U*D*U**T or A = L*D*L**T computed by -* DSYTRF. -* -* 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) DOUBLE PRECISION array, dimension (LDA,N) -* On entry, the block diagonal matrix D and the multipliers -* used to obtain the factor U or L as computed by DSYTRF. -* -* 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). -* -* IPIV (input) INTEGER array, dimension (N) -* Details of the interchanges and the block structure of D -* as determined by DSYTRF. -* -* WORK (workspace) DOUBLE PRECISION array, dimension (N) -* -* INFO (output) INTEGER -* = 0: successful exit -* < 0: if INFO = -i, the i-th argument had an illegal value -* > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its -* inverse could not be computed. -* -* ===================================================================== -* -* .. Parameters .. - DOUBLE PRECISION ONE, ZERO - PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 ) -* .. -* .. Local Scalars .. - LOGICAL UPPER - INTEGER K, KP, KSTEP - DOUBLE PRECISION AK, AKKP1, AKP1, D, T, TEMP -* .. -* .. External Functions .. - LOGICAL LSAME - DOUBLE PRECISION DDOT - EXTERNAL LSAME, DDOT -* .. -* .. External Subroutines .. - EXTERNAL DCOPY, DSWAP, DSYMV, XERBLA -* .. -* .. Intrinsic Functions .. - INTRINSIC ABS, MAX -* .. -* .. Executable Statements .. -* -* Test the input parameters. -* - INFO = 0 - UPPER = LSAME( UPLO, 'U' ) - IF( .NOT.UPPER .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN - INFO = -1 - ELSE IF( N.LT.0 ) THEN - INFO = -2 - ELSE IF( LDA.LT.MAX( 1, N ) ) THEN - INFO = -4 - END IF - IF( INFO.NE.0 ) THEN - CALL XERBLA( 'DSYTRI', -INFO ) - RETURN - END IF -* -* Quick return if possible -* - IF( N.EQ.0 ) - $ RETURN -* -* Check that the diagonal matrix D is nonsingular. -* - IF( UPPER ) THEN -* -* Upper triangular storage: examine D from bottom to top -* - DO 10 INFO = N, 1, -1 - IF( IPIV( INFO ).GT.0 .AND. A( INFO, INFO ).EQ.ZERO ) - $ RETURN - 10 CONTINUE - ELSE -* -* Lower triangular storage: examine D from top to bottom. -* - DO 20 INFO = 1, N - IF( IPIV( INFO ).GT.0 .AND. A( INFO, INFO ).EQ.ZERO ) - $ RETURN - 20 CONTINUE - END IF - INFO = 0 -* - IF( UPPER ) THEN -* -* Compute inv(A) from the factorization A = U*D*U'. -* -* K is the main loop index, increasing from 1 to N in steps of -* 1 or 2, depending on the size of the diagonal blocks. -* - K = 1 - 30 CONTINUE -* -* If K > N, exit from loop. -* - IF( K.GT.N ) - $ GO TO 40 -* - IF( IPIV( K ).GT.0 ) THEN -* -* 1 x 1 diagonal block -* -* Invert the diagonal block. -* - A( K, K ) = ONE / A( K, K ) -* -* Compute column K of the inverse. -* - IF( K.GT.1 ) THEN - CALL DCOPY( K-1, A( 1, K ), 1, WORK, 1 ) - CALL DSYMV( UPLO, K-1, -ONE, A, LDA, WORK, 1, ZERO, - $ A( 1, K ), 1 ) - A( K, K ) = A( K, K ) - DDOT( K-1, WORK, 1, A( 1, K ), - $ 1 ) - END IF - KSTEP = 1 - ELSE -* -* 2 x 2 diagonal block -* -* Invert the diagonal block. -* - T = ABS( A( K, K+1 ) ) - AK = A( K, K ) / T - AKP1 = A( K+1, K+1 ) / T - AKKP1 = A( K, K+1 ) / T - D = T*( AK*AKP1-ONE ) - A( K, K ) = AKP1 / D - A( K+1, K+1 ) = AK / D - A( K, K+1 ) = -AKKP1 / D -* -* Compute columns K and K+1 of the inverse. -* - IF( K.GT.1 ) THEN - CALL DCOPY( K-1, A( 1, K ), 1, WORK, 1 ) - CALL DSYMV( UPLO, K-1, -ONE, A, LDA, WORK, 1, ZERO, - $ A( 1, K ), 1 ) - A( K, K ) = A( K, K ) - DDOT( K-1, WORK, 1, A( 1, K ), - $ 1 ) - A( K, K+1 ) = A( K, K+1 ) - - $ DDOT( K-1, A( 1, K ), 1, A( 1, K+1 ), 1 ) - CALL DCOPY( K-1, A( 1, K+1 ), 1, WORK, 1 ) - CALL DSYMV( UPLO, K-1, -ONE, A, LDA, WORK, 1, ZERO, - $ A( 1, K+1 ), 1 ) - A( K+1, K+1 ) = A( K+1, K+1 ) - - $ DDOT( K-1, WORK, 1, A( 1, K+1 ), 1 ) - END IF - KSTEP = 2 - END IF -* - KP = ABS( IPIV( K ) ) - IF( KP.NE.K ) THEN -* -* Interchange rows and columns K and KP in the leading -* submatrix A(1:k+1,1:k+1) -* - CALL DSWAP( KP-1, A( 1, K ), 1, A( 1, KP ), 1 ) - CALL DSWAP( K-KP-1, A( KP+1, K ), 1, A( KP, KP+1 ), LDA ) - TEMP = A( K, K ) - A( K, K ) = A( KP, KP ) - A( KP, KP ) = TEMP - IF( KSTEP.EQ.2 ) THEN - TEMP = A( K, K+1 ) - A( K, K+1 ) = A( KP, K+1 ) - A( KP, K+1 ) = TEMP - END IF - END IF -* - K = K + KSTEP - GO TO 30 - 40 CONTINUE -* - ELSE -* -* Compute inv(A) from the factorization A = L*D*L'. -* -* K is the main loop index, increasing from 1 to N in steps of -* 1 or 2, depending on the size of the diagonal blocks. -* - K = N - 50 CONTINUE -* -* If K < 1, exit from loop. -* - IF( K.LT.1 ) - $ GO TO 60 -* - IF( IPIV( K ).GT.0 ) THEN -* -* 1 x 1 diagonal block -* -* Invert the diagonal block. -* - A( K, K ) = ONE / A( K, K ) -* -* Compute column K of the inverse. -* - IF( K.LT.N ) THEN - CALL DCOPY( N-K, A( K+1, K ), 1, WORK, 1 ) - CALL DSYMV( UPLO, N-K, -ONE, A( K+1, K+1 ), LDA, WORK, 1, - $ ZERO, A( K+1, K ), 1 ) - A( K, K ) = A( K, K ) - DDOT( N-K, WORK, 1, A( K+1, K ), - $ 1 ) - END IF - KSTEP = 1 - ELSE -* -* 2 x 2 diagonal block -* -* Invert the diagonal block. -* - T = ABS( A( K, K-1 ) ) - AK = A( K-1, K-1 ) / T - AKP1 = A( K, K ) / T - AKKP1 = A( K, K-1 ) / T - D = T*( AK*AKP1-ONE ) - A( K-1, K-1 ) = AKP1 / D - A( K, K ) = AK / D - A( K, K-1 ) = -AKKP1 / D -* -* Compute columns K-1 and K of the inverse. -* - IF( K.LT.N ) THEN - CALL DCOPY( N-K, A( K+1, K ), 1, WORK, 1 ) - CALL DSYMV( UPLO, N-K, -ONE, A( K+1, K+1 ), LDA, WORK, 1, - $ ZERO, A( K+1, K ), 1 ) - A( K, K ) = A( K, K ) - DDOT( N-K, WORK, 1, A( K+1, K ), - $ 1 ) - A( K, K-1 ) = A( K, K-1 ) - - $ DDOT( N-K, A( K+1, K ), 1, A( K+1, K-1 ), - $ 1 ) - CALL DCOPY( N-K, A( K+1, K-1 ), 1, WORK, 1 ) - CALL DSYMV( UPLO, N-K, -ONE, A( K+1, K+1 ), LDA, WORK, 1, - $ ZERO, A( K+1, K-1 ), 1 ) - A( K-1, K-1 ) = A( K-1, K-1 ) - - $ DDOT( N-K, WORK, 1, A( K+1, K-1 ), 1 ) - END IF - KSTEP = 2 - END IF -* - KP = ABS( IPIV( K ) ) - IF( KP.NE.K ) THEN -* -* Interchange rows and columns K and KP in the trailing -* submatrix A(k-1:n,k-1:n) -* - IF( KP.LT.N ) - $ CALL DSWAP( N-KP, A( KP+1, K ), 1, A( KP+1, KP ), 1 ) - CALL DSWAP( KP-K-1, A( K+1, K ), 1, A( KP, K+1 ), LDA ) - TEMP = A( K, K ) - A( K, K ) = A( KP, KP ) - A( KP, KP ) = TEMP - IF( KSTEP.EQ.2 ) THEN - TEMP = A( K, K-1 ) - A( K, K-1 ) = A( KP, K-1 ) - A( KP, K-1 ) = TEMP - END IF - END IF -* - K = K - KSTEP - GO TO 50 - 60 CONTINUE - END IF -* - RETURN -* -* End of DSYTRI -* - END |