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authorjofret2009-04-28 07:17:00 +0000
committerjofret2009-04-28 07:17:00 +0000
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Moving lapack to right place
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- SUBROUTINE DGECON( NORM, N, A, LDA, ANORM, RCOND, WORK, IWORK,
- $ INFO )
-*
-* -- LAPACK routine (version 3.1) --
-* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
-* November 2006
-*
-* Modified to call DLACN2 in place of DLACON, 5 Feb 03, SJH.
-*
-* .. Scalar Arguments ..
- CHARACTER NORM
- INTEGER INFO, LDA, N
- DOUBLE PRECISION ANORM, RCOND
-* ..
-* .. Array Arguments ..
- INTEGER IWORK( * )
- DOUBLE PRECISION A( LDA, * ), WORK( * )
-* ..
-*
-* Purpose
-* =======
-*
-* DGECON estimates the reciprocal of the condition number of a general
-* real matrix A, in either the 1-norm or the infinity-norm, using
-* the LU factorization computed by DGETRF.
-*
-* An estimate is obtained for norm(inv(A)), and the reciprocal of the
-* condition number is computed as
-* RCOND = 1 / ( norm(A) * norm(inv(A)) ).
-*
-* Arguments
-* =========
-*
-* NORM (input) CHARACTER*1
-* Specifies whether the 1-norm condition number or the
-* infinity-norm condition number is required:
-* = '1' or 'O': 1-norm;
-* = 'I': Infinity-norm.
-*
-* N (input) INTEGER
-* The order of the matrix A. N >= 0.
-*
-* A (input) DOUBLE PRECISION array, dimension (LDA,N)
-* The factors L and U from the factorization A = P*L*U
-* as computed by DGETRF.
-*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(1,N).
-*
-* ANORM (input) DOUBLE PRECISION
-* If NORM = '1' or 'O', the 1-norm of the original matrix A.
-* If NORM = 'I', the infinity-norm of the original matrix A.
-*
-* RCOND (output) DOUBLE PRECISION
-* The reciprocal of the condition number of the matrix A,
-* computed as RCOND = 1/(norm(A) * norm(inv(A))).
-*
-* WORK (workspace) DOUBLE PRECISION array, dimension (4*N)
-*
-* IWORK (workspace) INTEGER array, dimension (N)
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument had an illegal value
-*
-* =====================================================================
-*
-* .. Parameters ..
- DOUBLE PRECISION ONE, ZERO
- PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
-* ..
-* .. Local Scalars ..
- LOGICAL ONENRM
- CHARACTER NORMIN
- INTEGER IX, KASE, KASE1
- DOUBLE PRECISION AINVNM, SCALE, SL, SMLNUM, SU
-* ..
-* .. Local Arrays ..
- INTEGER ISAVE( 3 )
-* ..
-* .. External Functions ..
- LOGICAL LSAME
- INTEGER IDAMAX
- DOUBLE PRECISION DLAMCH
- EXTERNAL LSAME, IDAMAX, DLAMCH
-* ..
-* .. External Subroutines ..
- EXTERNAL DLACN2, DLATRS, DRSCL, XERBLA
-* ..
-* .. Intrinsic Functions ..
- INTRINSIC ABS, MAX
-* ..
-* .. Executable Statements ..
-*
-* Test the input parameters.
-*
- INFO = 0
- ONENRM = NORM.EQ.'1' .OR. LSAME( NORM, 'O' )
- IF( .NOT.ONENRM .AND. .NOT.LSAME( NORM, 'I' ) ) THEN
- INFO = -1
- ELSE IF( N.LT.0 ) THEN
- INFO = -2
- ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
- INFO = -4
- ELSE IF( ANORM.LT.ZERO ) THEN
- INFO = -5
- END IF
- IF( INFO.NE.0 ) THEN
- CALL XERBLA( 'DGECON', -INFO )
- RETURN
- END IF
-*
-* Quick return if possible
-*
- RCOND = ZERO
- IF( N.EQ.0 ) THEN
- RCOND = ONE
- RETURN
- ELSE IF( ANORM.EQ.ZERO ) THEN
- RETURN
- END IF
-*
- SMLNUM = DLAMCH( 'Safe minimum' )
-*
-* Estimate the norm of inv(A).
-*
- AINVNM = ZERO
- NORMIN = 'N'
- IF( ONENRM ) THEN
- KASE1 = 1
- ELSE
- KASE1 = 2
- END IF
- KASE = 0
- 10 CONTINUE
- CALL DLACN2( N, WORK( N+1 ), WORK, IWORK, AINVNM, KASE, ISAVE )
- IF( KASE.NE.0 ) THEN
- IF( KASE.EQ.KASE1 ) THEN
-*
-* Multiply by inv(L).
-*
- CALL DLATRS( 'Lower', 'No transpose', 'Unit', NORMIN, N, A,
- $ LDA, WORK, SL, WORK( 2*N+1 ), INFO )
-*
-* Multiply by inv(U).
-*
- CALL DLATRS( 'Upper', 'No transpose', 'Non-unit', NORMIN, N,
- $ A, LDA, WORK, SU, WORK( 3*N+1 ), INFO )
- ELSE
-*
-* Multiply by inv(U').
-*
- CALL DLATRS( 'Upper', 'Transpose', 'Non-unit', NORMIN, N, A,
- $ LDA, WORK, SU, WORK( 3*N+1 ), INFO )
-*
-* Multiply by inv(L').
-*
- CALL DLATRS( 'Lower', 'Transpose', 'Unit', NORMIN, N, A,
- $ LDA, WORK, SL, WORK( 2*N+1 ), INFO )
- END IF
-*
-* Divide X by 1/(SL*SU) if doing so will not cause overflow.
-*
- SCALE = SL*SU
- NORMIN = 'Y'
- IF( SCALE.NE.ONE ) THEN
- IX = IDAMAX( N, WORK, 1 )
- IF( SCALE.LT.ABS( WORK( IX ) )*SMLNUM .OR. SCALE.EQ.ZERO )
- $ GO TO 20
- CALL DRSCL( N, SCALE, WORK, 1 )
- END IF
- GO TO 10
- END IF
-*
-* Compute the estimate of the reciprocal condition number.
-*
- IF( AINVNM.NE.ZERO )
- $ RCOND = ( ONE / AINVNM ) / ANORM
-*
- 20 CONTINUE
- RETURN
-*
-* End of DGECON
-*
- END