*> \brief \b DRZT02 * * =========== DOCUMENTATION =========== * * Online html documentation available at * http://www.netlib.org/lapack/explore-html/ * * Definition: * =========== * * DOUBLE PRECISION FUNCTION DRZT02( M, N, AF, LDA, TAU, WORK, * LWORK ) * * .. Scalar Arguments .. * INTEGER LDA, LWORK, M, N * .. * .. Array Arguments .. * DOUBLE PRECISION AF( LDA, * ), TAU( * ), WORK( LWORK ) * .. * * *> \par Purpose: * ============= *> *> \verbatim *> *> DRZT02 returns *> || I - Q'*Q || / ( M * eps) *> where the matrix Q is defined by the Householder transformations *> generated by DTZRZF. *> \endverbatim * * Arguments: * ========== * *> \param[in] M *> \verbatim *> M is INTEGER *> The number of rows of the matrix AF. *> \endverbatim *> *> \param[in] N *> \verbatim *> N is INTEGER *> The number of columns of the matrix AF. *> \endverbatim *> *> \param[in] AF *> \verbatim *> AF is DOUBLE PRECISION array, dimension (LDA,N) *> The output of DTZRZF. *> \endverbatim *> *> \param[in] LDA *> \verbatim *> LDA is INTEGER *> The leading dimension of the array AF. *> \endverbatim *> *> \param[in] TAU *> \verbatim *> TAU is DOUBLE PRECISION array, dimension (M) *> Details of the Householder transformations as returned by *> DTZRZF. *> \endverbatim *> *> \param[out] WORK *> \verbatim *> WORK is DOUBLE PRECISION array, dimension (LWORK) *> \endverbatim *> *> \param[in] LWORK *> \verbatim *> LWORK is INTEGER *> length of WORK array. LWORK >= N*N+N*NB. *> \endverbatim * * Authors: * ======== * *> \author Univ. of Tennessee *> \author Univ. of California Berkeley *> \author Univ. of Colorado Denver *> \author NAG Ltd. * *> \ingroup double_lin * * ===================================================================== DOUBLE PRECISION FUNCTION DRZT02( M, N, AF, LDA, TAU, WORK, \$ LWORK ) * * -- LAPACK test routine -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- * * .. Scalar Arguments .. INTEGER LDA, LWORK, M, N * .. * .. Array Arguments .. DOUBLE PRECISION AF( LDA, * ), TAU( * ), WORK( LWORK ) * .. * * ===================================================================== * * .. Parameters .. DOUBLE PRECISION ZERO, ONE PARAMETER ( ZERO = 0.0D+0, ONE = 1.0D+0 ) * .. * .. Local Scalars .. INTEGER I, INFO * .. * .. Local Arrays .. DOUBLE PRECISION RWORK( 1 ) * .. * .. External Functions .. DOUBLE PRECISION DLAMCH, DLANGE EXTERNAL DLAMCH, DLANGE * .. * .. External Subroutines .. EXTERNAL DLASET, DORMRZ, XERBLA * .. * .. Intrinsic Functions .. INTRINSIC DBLE, MAX * .. * .. Executable Statements .. * DRZT02 = ZERO * IF( LWORK.LT.N*N+N ) THEN CALL XERBLA( 'DRZT02', 7 ) RETURN END IF * * Quick return if possible * IF( M.LE.0 .OR. N.LE.0 ) \$ RETURN * * Q := I * CALL DLASET( 'Full', N, N, ZERO, ONE, WORK, N ) * * Q := P(1) * ... * P(m) * Q * CALL DORMRZ( 'Left', 'No transpose', N, N, M, N-M, AF, LDA, TAU, \$ WORK, N, WORK( N*N+1 ), LWORK-N*N, INFO ) * * Q := P(m) * ... * P(1) * Q * CALL DORMRZ( 'Left', 'Transpose', N, N, M, N-M, AF, LDA, TAU, \$ WORK, N, WORK( N*N+1 ), LWORK-N*N, INFO ) * * Q := Q - I * DO 10 I = 1, N WORK( ( I-1 )*N+I ) = WORK( ( I-1 )*N+I ) - ONE 10 CONTINUE * DRZT02 = DLANGE( 'One-norm', N, N, WORK, N, RWORK ) / \$ ( DLAMCH( 'Epsilon' )*DBLE( MAX( M, N ) ) ) RETURN * * End of DRZT02 * END