Annotation of rpl/lapack/lapack/dsytri2.f, revision 1.1
1.1 ! bertrand 1: SUBROUTINE DSYTRI2( UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO )
! 2: *
! 3: * -- LAPACK routine (version 3.3.0) --
! 4: * -- LAPACK is a software package provided by Univ. of Tennessee, --
! 5: * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
! 6: * November 2010
! 7: *
! 8: * -- Written by Julie Langou of the Univ. of TN --
! 9: *
! 10: * .. Scalar Arguments ..
! 11: CHARACTER UPLO
! 12: INTEGER INFO, LDA, LWORK, N
! 13: * ..
! 14: * .. Array Arguments ..
! 15: INTEGER IPIV( * )
! 16: DOUBLE PRECISION A( LDA, * ), WORK( * )
! 17: * ..
! 18: *
! 19: * Purpose
! 20: * =======
! 21: *
! 22: * DSYTRI2 computes the inverse of a real symmetric indefinite matrix
! 23: * A using the factorization A = U*D*U**T or A = L*D*L**T computed by
! 24: * DSYTRF. DSYTRI2 sets the LEADING DIMENSION of the workspace
! 25: * before calling DSYTRI2X that actually computes the inverse.
! 26: *
! 27: * Arguments
! 28: * =========
! 29: *
! 30: * UPLO (input) CHARACTER*1
! 31: * Specifies whether the details of the factorization are stored
! 32: * as an upper or lower triangular matrix.
! 33: * = 'U': Upper triangular, form is A = U*D*U**T;
! 34: * = 'L': Lower triangular, form is A = L*D*L**T.
! 35: *
! 36: * N (input) INTEGER
! 37: * The order of the matrix A. N >= 0.
! 38: *
! 39: * A (input/output) DOUBLE PRECISION array, dimension (LDA,N)
! 40: * On entry, the NB diagonal matrix D and the multipliers
! 41: * used to obtain the factor U or L as computed by DSYTRF.
! 42: *
! 43: * On exit, if INFO = 0, the (symmetric) inverse of the original
! 44: * matrix. If UPLO = 'U', the upper triangular part of the
! 45: * inverse is formed and the part of A below the diagonal is not
! 46: * referenced; if UPLO = 'L' the lower triangular part of the
! 47: * inverse is formed and the part of A above the diagonal is
! 48: * not referenced.
! 49: *
! 50: * LDA (input) INTEGER
! 51: * The leading dimension of the array A. LDA >= max(1,N).
! 52: *
! 53: * IPIV (input) INTEGER array, dimension (N)
! 54: * Details of the interchanges and the NB structure of D
! 55: * as determined by DSYTRF.
! 56: *
! 57: * WORK (workspace) DOUBLE PRECISION array, dimension (N+NB+1)*(NB+3)
! 58: *
! 59: * LWORK (input) INTEGER
! 60: * The dimension of the array WORK.
! 61: * WORK is size >= (N+NB+1)*(NB+3)
! 62: * If LDWORK = -1, then a workspace query is assumed; the routine
! 63: * calculates:
! 64: * - the optimal size of the WORK array, returns
! 65: * this value as the first entry of the WORK array,
! 66: * - and no error message related to LDWORK is issued by XERBLA.
! 67: *
! 68: * INFO (output) INTEGER
! 69: * = 0: successful exit
! 70: * < 0: if INFO = -i, the i-th argument had an illegal value
! 71: * > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its
! 72: * inverse could not be computed.
! 73: *
! 74: * =====================================================================
! 75: *
! 76: * .. Local Scalars ..
! 77: LOGICAL UPPER, LQUERY
! 78: INTEGER MINSIZE, NBMAX
! 79: * ..
! 80: * .. External Functions ..
! 81: LOGICAL LSAME
! 82: INTEGER ILAENV
! 83: EXTERNAL LSAME, ILAENV
! 84: * ..
! 85: * .. External Subroutines ..
! 86: EXTERNAL DSYTRI2X
! 87: * ..
! 88: * .. Executable Statements ..
! 89: *
! 90: * Test the input parameters.
! 91: *
! 92: INFO = 0
! 93: UPPER = LSAME( UPLO, 'U' )
! 94: LQUERY = ( LWORK.EQ.-1 )
! 95: * Get blocksize
! 96: NBMAX = ILAENV( 1, 'DSYTRF', UPLO, N, -1, -1, -1 )
! 97: MINSIZE = (N+NBMAX+1)*(NBMAX+3)
! 98: *
! 99: IF( .NOT.UPPER .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN
! 100: INFO = -1
! 101: ELSE IF( N.LT.0 ) THEN
! 102: INFO = -2
! 103: ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
! 104: INFO = -4
! 105: ELSE IF (LWORK .LT. MINSIZE .AND. .NOT.LQUERY ) THEN
! 106: INFO = -7
! 107: END IF
! 108: *
! 109: * Quick return if possible
! 110: *
! 111: *
! 112: IF( INFO.NE.0 ) THEN
! 113: CALL XERBLA( 'DSYTRI2', -INFO )
! 114: RETURN
! 115: ELSE IF( LQUERY ) THEN
! 116: WORK(1)=(N+NBMAX+1)*(NBMAX+3)
! 117: RETURN
! 118: END IF
! 119: IF( N.EQ.0 )
! 120: $ RETURN
! 121:
! 122: CALL DSYTRI2X( UPLO, N, A, LDA, IPIV, WORK, NBMAX, INFO )
! 123: RETURN
! 124: *
! 125: * End of DSYTRI2
! 126: *
! 127: END
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