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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/zgebal.f | |
parent | 9f652ffc16a310ac6641a9766c5b9e2671e0e9cb (diff) | |
download | scilab2c-8c8d2f518968ce7057eec6aa5cd5aec8faab861a.tar.gz scilab2c-8c8d2f518968ce7057eec6aa5cd5aec8faab861a.tar.bz2 scilab2c-8c8d2f518968ce7057eec6aa5cd5aec8faab861a.zip |
Moving lapack to right place
Diffstat (limited to 'src/lib/lapack/zgebal.f')
-rw-r--r-- | src/lib/lapack/zgebal.f | 330 |
1 files changed, 0 insertions, 330 deletions
diff --git a/src/lib/lapack/zgebal.f b/src/lib/lapack/zgebal.f deleted file mode 100644 index 67ac2e14..00000000 --- a/src/lib/lapack/zgebal.f +++ /dev/null @@ -1,330 +0,0 @@ - SUBROUTINE ZGEBAL( JOB, N, A, LDA, ILO, IHI, SCALE, INFO ) -* -* -- LAPACK routine (version 3.1) -- -* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. -* November 2006 -* -* .. Scalar Arguments .. - CHARACTER JOB - INTEGER IHI, ILO, INFO, LDA, N -* .. -* .. Array Arguments .. - DOUBLE PRECISION SCALE( * ) - COMPLEX*16 A( LDA, * ) -* .. -* -* Purpose -* ======= -* -* ZGEBAL balances a general complex matrix A. This involves, first, -* permuting A by a similarity transformation to isolate eigenvalues -* in the first 1 to ILO-1 and last IHI+1 to N elements on the -* diagonal; and second, applying a diagonal similarity transformation -* to rows and columns ILO to IHI to make the rows and columns as -* close in norm as possible. Both steps are optional. -* -* Balancing may reduce the 1-norm of the matrix, and improve the -* accuracy of the computed eigenvalues and/or eigenvectors. -* -* Arguments -* ========= -* -* JOB (input) CHARACTER*1 -* Specifies the operations to be performed on A: -* = 'N': none: simply set ILO = 1, IHI = N, SCALE(I) = 1.0 -* for i = 1,...,N; -* = 'P': permute only; -* = 'S': scale only; -* = 'B': both permute and scale. -* -* N (input) INTEGER -* The order of the matrix A. N >= 0. -* -* A (input/output) COMPLEX*16 array, dimension (LDA,N) -* On entry, the input matrix A. -* On exit, A is overwritten by the balanced matrix. -* If JOB = 'N', A is not referenced. -* See Further Details. -* -* LDA (input) INTEGER -* The leading dimension of the array A. LDA >= max(1,N). -* -* ILO (output) INTEGER -* IHI (output) INTEGER -* ILO and IHI are set to integers such that on exit -* A(i,j) = 0 if i > j and j = 1,...,ILO-1 or I = IHI+1,...,N. -* If JOB = 'N' or 'S', ILO = 1 and IHI = N. -* -* SCALE (output) DOUBLE PRECISION array, dimension (N) -* Details of the permutations and scaling factors applied to -* A. If P(j) is the index of the row and column interchanged -* with row and column j and D(j) is the scaling factor -* applied to row and column j, then -* SCALE(j) = P(j) for j = 1,...,ILO-1 -* = D(j) for j = ILO,...,IHI -* = P(j) for j = IHI+1,...,N. -* The order in which the interchanges are made is N to IHI+1, -* then 1 to ILO-1. -* -* INFO (output) INTEGER -* = 0: successful exit. -* < 0: if INFO = -i, the i-th argument had an illegal value. -* -* Further Details -* =============== -* -* The permutations consist of row and column interchanges which put -* the matrix in the form -* -* ( T1 X Y ) -* P A P = ( 0 B Z ) -* ( 0 0 T2 ) -* -* where T1 and T2 are upper triangular matrices whose eigenvalues lie -* along the diagonal. The column indices ILO and IHI mark the starting -* and ending columns of the submatrix B. Balancing consists of applying -* a diagonal similarity transformation inv(D) * B * D to make the -* 1-norms of each row of B and its corresponding column nearly equal. -* The output matrix is -* -* ( T1 X*D Y ) -* ( 0 inv(D)*B*D inv(D)*Z ). -* ( 0 0 T2 ) -* -* Information about the permutations P and the diagonal matrix D is -* returned in the vector SCALE. -* -* This subroutine is based on the EISPACK routine CBAL. -* -* Modified by Tzu-Yi Chen, Computer Science Division, University of -* California at Berkeley, USA -* -* ===================================================================== -* -* .. Parameters .. - DOUBLE PRECISION ZERO, ONE - PARAMETER ( ZERO = 0.0D+0, ONE = 1.0D+0 ) - DOUBLE PRECISION SCLFAC - PARAMETER ( SCLFAC = 2.0D+0 ) - DOUBLE PRECISION FACTOR - PARAMETER ( FACTOR = 0.95D+0 ) -* .. -* .. Local Scalars .. - LOGICAL NOCONV - INTEGER I, ICA, IEXC, IRA, J, K, L, M - DOUBLE PRECISION C, CA, F, G, R, RA, S, SFMAX1, SFMAX2, SFMIN1, - $ SFMIN2 - COMPLEX*16 CDUM -* .. -* .. External Functions .. - LOGICAL LSAME - INTEGER IZAMAX - DOUBLE PRECISION DLAMCH - EXTERNAL LSAME, IZAMAX, DLAMCH -* .. -* .. External Subroutines .. - EXTERNAL XERBLA, ZDSCAL, ZSWAP -* .. -* .. Intrinsic Functions .. - INTRINSIC ABS, DBLE, DIMAG, MAX, MIN -* .. -* .. Statement Functions .. - DOUBLE PRECISION CABS1 -* .. -* .. Statement Function definitions .. - CABS1( CDUM ) = ABS( DBLE( CDUM ) ) + ABS( DIMAG( CDUM ) ) -* .. -* .. Executable Statements .. -* -* Test the input parameters -* - INFO = 0 - IF( .NOT.LSAME( JOB, 'N' ) .AND. .NOT.LSAME( JOB, 'P' ) .AND. - $ .NOT.LSAME( JOB, 'S' ) .AND. .NOT.LSAME( JOB, 'B' ) ) 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( 'ZGEBAL', -INFO ) - RETURN - END IF -* - K = 1 - L = N -* - IF( N.EQ.0 ) - $ GO TO 210 -* - IF( LSAME( JOB, 'N' ) ) THEN - DO 10 I = 1, N - SCALE( I ) = ONE - 10 CONTINUE - GO TO 210 - END IF -* - IF( LSAME( JOB, 'S' ) ) - $ GO TO 120 -* -* Permutation to isolate eigenvalues if possible -* - GO TO 50 -* -* Row and column exchange. -* - 20 CONTINUE - SCALE( M ) = J - IF( J.EQ.M ) - $ GO TO 30 -* - CALL ZSWAP( L, A( 1, J ), 1, A( 1, M ), 1 ) - CALL ZSWAP( N-K+1, A( J, K ), LDA, A( M, K ), LDA ) -* - 30 CONTINUE - GO TO ( 40, 80 )IEXC -* -* Search for rows isolating an eigenvalue and push them down. -* - 40 CONTINUE - IF( L.EQ.1 ) - $ GO TO 210 - L = L - 1 -* - 50 CONTINUE - DO 70 J = L, 1, -1 -* - DO 60 I = 1, L - IF( I.EQ.J ) - $ GO TO 60 - IF( DBLE( A( J, I ) ).NE.ZERO .OR. DIMAG( A( J, I ) ).NE. - $ ZERO )GO TO 70 - 60 CONTINUE -* - M = L - IEXC = 1 - GO TO 20 - 70 CONTINUE -* - GO TO 90 -* -* Search for columns isolating an eigenvalue and push them left. -* - 80 CONTINUE - K = K + 1 -* - 90 CONTINUE - DO 110 J = K, L -* - DO 100 I = K, L - IF( I.EQ.J ) - $ GO TO 100 - IF( DBLE( A( I, J ) ).NE.ZERO .OR. DIMAG( A( I, J ) ).NE. - $ ZERO )GO TO 110 - 100 CONTINUE -* - M = K - IEXC = 2 - GO TO 20 - 110 CONTINUE -* - 120 CONTINUE - DO 130 I = K, L - SCALE( I ) = ONE - 130 CONTINUE -* - IF( LSAME( JOB, 'P' ) ) - $ GO TO 210 -* -* Balance the submatrix in rows K to L. -* -* Iterative loop for norm reduction -* - SFMIN1 = DLAMCH( 'S' ) / DLAMCH( 'P' ) - SFMAX1 = ONE / SFMIN1 - SFMIN2 = SFMIN1*SCLFAC - SFMAX2 = ONE / SFMIN2 - 140 CONTINUE - NOCONV = .FALSE. -* - DO 200 I = K, L - C = ZERO - R = ZERO -* - DO 150 J = K, L - IF( J.EQ.I ) - $ GO TO 150 - C = C + CABS1( A( J, I ) ) - R = R + CABS1( A( I, J ) ) - 150 CONTINUE - ICA = IZAMAX( L, A( 1, I ), 1 ) - CA = ABS( A( ICA, I ) ) - IRA = IZAMAX( N-K+1, A( I, K ), LDA ) - RA = ABS( A( I, IRA+K-1 ) ) -* -* Guard against zero C or R due to underflow. -* - IF( C.EQ.ZERO .OR. R.EQ.ZERO ) - $ GO TO 200 - G = R / SCLFAC - F = ONE - S = C + R - 160 CONTINUE - IF( C.GE.G .OR. MAX( F, C, CA ).GE.SFMAX2 .OR. - $ MIN( R, G, RA ).LE.SFMIN2 )GO TO 170 - F = F*SCLFAC - C = C*SCLFAC - CA = CA*SCLFAC - R = R / SCLFAC - G = G / SCLFAC - RA = RA / SCLFAC - GO TO 160 -* - 170 CONTINUE - G = C / SCLFAC - 180 CONTINUE - IF( G.LT.R .OR. MAX( R, RA ).GE.SFMAX2 .OR. - $ MIN( F, C, G, CA ).LE.SFMIN2 )GO TO 190 - F = F / SCLFAC - C = C / SCLFAC - G = G / SCLFAC - CA = CA / SCLFAC - R = R*SCLFAC - RA = RA*SCLFAC - GO TO 180 -* -* Now balance. -* - 190 CONTINUE - IF( ( C+R ).GE.FACTOR*S ) - $ GO TO 200 - IF( F.LT.ONE .AND. SCALE( I ).LT.ONE ) THEN - IF( F*SCALE( I ).LE.SFMIN1 ) - $ GO TO 200 - END IF - IF( F.GT.ONE .AND. SCALE( I ).GT.ONE ) THEN - IF( SCALE( I ).GE.SFMAX1 / F ) - $ GO TO 200 - END IF - G = ONE / F - SCALE( I ) = SCALE( I )*F - NOCONV = .TRUE. -* - CALL ZDSCAL( N-K+1, G, A( I, K ), LDA ) - CALL ZDSCAL( L, F, A( 1, I ), 1 ) -* - 200 CONTINUE -* - IF( NOCONV ) - $ GO TO 140 -* - 210 CONTINUE - ILO = K - IHI = L -* - RETURN -* -* End of ZGEBAL -* - END |