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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 DLAQGE( M, N, A, LDA, R, C, ROWCND, COLCND, AMAX,
- $ EQUED )
-*
-* -- LAPACK auxiliary routine (version 3.1) --
-* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
-* November 2006
-*
-* .. Scalar Arguments ..
- CHARACTER EQUED
- INTEGER LDA, M, N
- DOUBLE PRECISION AMAX, COLCND, ROWCND
-* ..
-* .. Array Arguments ..
- DOUBLE PRECISION A( LDA, * ), C( * ), R( * )
-* ..
-*
-* Purpose
-* =======
-*
-* DLAQGE equilibrates a general M by N matrix A using the row and
-* column scaling factors in the vectors R and C.
-*
-* Arguments
-* =========
-*
-* M (input) INTEGER
-* The number of rows of the matrix A. M >= 0.
-*
-* N (input) INTEGER
-* The number of columns of the matrix A. N >= 0.
-*
-* A (input/output) DOUBLE PRECISION array, dimension (LDA,N)
-* On entry, the M by N matrix A.
-* On exit, the equilibrated matrix. See EQUED for the form of
-* the equilibrated matrix.
-*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(M,1).
-*
-* R (input) DOUBLE PRECISION array, dimension (M)
-* The row scale factors for A.
-*
-* C (input) DOUBLE PRECISION array, dimension (N)
-* The column scale factors for A.
-*
-* ROWCND (input) DOUBLE PRECISION
-* Ratio of the smallest R(i) to the largest R(i).
-*
-* COLCND (input) DOUBLE PRECISION
-* Ratio of the smallest C(i) to the largest C(i).
-*
-* AMAX (input) DOUBLE PRECISION
-* Absolute value of largest matrix entry.
-*
-* EQUED (output) CHARACTER*1
-* Specifies the form of equilibration that was done.
-* = 'N': No equilibration
-* = 'R': Row equilibration, i.e., A has been premultiplied by
-* diag(R).
-* = 'C': Column equilibration, i.e., A has been postmultiplied
-* by diag(C).
-* = 'B': Both row and column equilibration, i.e., A has been
-* replaced by diag(R) * A * diag(C).
-*
-* Internal Parameters
-* ===================
-*
-* THRESH is a threshold value used to decide if row or column scaling
-* should be done based on the ratio of the row or column scaling
-* factors. If ROWCND < THRESH, row scaling is done, and if
-* COLCND < THRESH, column scaling is done.
-*
-* LARGE and SMALL are threshold values used to decide if row scaling
-* should be done based on the absolute size of the largest matrix
-* element. If AMAX > LARGE or AMAX < SMALL, row scaling is done.
-*
-* =====================================================================
-*
-* .. Parameters ..
- DOUBLE PRECISION ONE, THRESH
- PARAMETER ( ONE = 1.0D+0, THRESH = 0.1D+0 )
-* ..
-* .. Local Scalars ..
- INTEGER I, J
- DOUBLE PRECISION CJ, LARGE, SMALL
-* ..
-* .. External Functions ..
- DOUBLE PRECISION DLAMCH
- EXTERNAL DLAMCH
-* ..
-* .. Executable Statements ..
-*
-* Quick return if possible
-*
- IF( M.LE.0 .OR. N.LE.0 ) THEN
- EQUED = 'N'
- RETURN
- END IF
-*
-* Initialize LARGE and SMALL.
-*
- SMALL = DLAMCH( 'Safe minimum' ) / DLAMCH( 'Precision' )
- LARGE = ONE / SMALL
-*
- IF( ROWCND.GE.THRESH .AND. AMAX.GE.SMALL .AND. AMAX.LE.LARGE )
- $ THEN
-*
-* No row scaling
-*
- IF( COLCND.GE.THRESH ) THEN
-*
-* No column scaling
-*
- EQUED = 'N'
- ELSE
-*
-* Column scaling
-*
- DO 20 J = 1, N
- CJ = C( J )
- DO 10 I = 1, M
- A( I, J ) = CJ*A( I, J )
- 10 CONTINUE
- 20 CONTINUE
- EQUED = 'C'
- END IF
- ELSE IF( COLCND.GE.THRESH ) THEN
-*
-* Row scaling, no column scaling
-*
- DO 40 J = 1, N
- DO 30 I = 1, M
- A( I, J ) = R( I )*A( I, J )
- 30 CONTINUE
- 40 CONTINUE
- EQUED = 'R'
- ELSE
-*
-* Row and column scaling
-*
- DO 60 J = 1, N
- CJ = C( J )
- DO 50 I = 1, M
- A( I, J ) = CJ*R( I )*A( I, J )
- 50 CONTINUE
- 60 CONTINUE
- EQUED = 'B'
- END IF
-*
- RETURN
-*
-* End of DLAQGE
-*
- END