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version 1.5, 2010/12/21 13:53:38
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version 1.6, 2011/07/22 07:38:11
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| SUBROUTINE DSPOSV( UPLO, N, NRHS, A, LDA, B, LDB, X, LDX, WORK, |
SUBROUTINE DSPOSV( UPLO, N, NRHS, A, LDA, B, LDB, X, LDX, WORK, |
| + SWORK, ITER, INFO ) |
$ SWORK, ITER, INFO ) |
| * |
* |
| * -- LAPACK PROTOTYPE driver routine (version 3.3.0) -- |
* -- LAPACK PROTOTYPE driver routine (version 3.3.1) -- |
| * Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd.. |
* Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd.. |
| * November 2010 |
* -- April 2011 -- |
| * |
* |
| * .. |
* .. |
| * .. Scalar Arguments .. |
* .. Scalar Arguments .. |
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| * .. Array Arguments .. |
* .. Array Arguments .. |
| REAL SWORK( * ) |
REAL SWORK( * ) |
| DOUBLE PRECISION A( LDA, * ), B( LDB, * ), WORK( N, * ), |
DOUBLE PRECISION A( LDA, * ), B( LDB, * ), WORK( N, * ), |
| + X( LDX, * ) |
$ X( LDX, * ) |
| * .. |
* .. |
| * |
* |
| * Purpose |
* Purpose |
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| * factorization could not be completed, and the solution |
* factorization could not be completed, and the solution |
| * has not been computed. |
* has not been computed. |
| * |
* |
| * ========= |
* ===================================================================== |
| * |
* |
| * .. Parameters .. |
* .. Parameters .. |
| LOGICAL DOITREF |
LOGICAL DOITREF |
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| * |
* |
| * .. External Subroutines .. |
* .. External Subroutines .. |
| EXTERNAL DAXPY, DSYMM, DLACPY, DLAT2S, DLAG2S, SLAG2D, |
EXTERNAL DAXPY, DSYMM, DLACPY, DLAT2S, DLAG2S, SLAG2D, |
| + SPOTRF, SPOTRS, XERBLA |
$ SPOTRF, SPOTRS, XERBLA |
| * .. |
* .. |
| * .. External Functions .. |
* .. External Functions .. |
| INTEGER IDAMAX |
INTEGER IDAMAX |
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| * Quick return if (N.EQ.0). |
* Quick return if (N.EQ.0). |
| * |
* |
| IF( N.EQ.0 ) |
IF( N.EQ.0 ) |
| + RETURN |
$ RETURN |
| * |
* |
| * Skip single precision iterative refinement if a priori slower |
* Skip single precision iterative refinement if a priori slower |
| * than double precision factorization. |
* than double precision factorization. |
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| * Solve the system SA*SX = SB. |
* Solve the system SA*SX = SB. |
| * |
* |
| CALL SPOTRS( UPLO, N, NRHS, SWORK( PTSA ), N, SWORK( PTSX ), N, |
CALL SPOTRS( UPLO, N, NRHS, SWORK( PTSA ), N, SWORK( PTSX ), N, |
| + INFO ) |
$ INFO ) |
| * |
* |
| * Convert SX back to double precision |
* Convert SX back to double precision |
| * |
* |
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| CALL DLACPY( 'All', N, NRHS, B, LDB, WORK, N ) |
CALL DLACPY( 'All', N, NRHS, B, LDB, WORK, N ) |
| * |
* |
| CALL DSYMM( 'Left', UPLO, N, NRHS, NEGONE, A, LDA, X, LDX, ONE, |
CALL DSYMM( 'Left', UPLO, N, NRHS, NEGONE, A, LDA, X, LDX, ONE, |
| + WORK, N ) |
$ WORK, N ) |
| * |
* |
| * Check whether the NRHS normwise backward errors satisfy the |
* Check whether the NRHS normwise backward errors satisfy the |
| * stopping criterion. If yes, set ITER=0 and return. |
* stopping criterion. If yes, set ITER=0 and return. |
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| XNRM = ABS( X( IDAMAX( N, X( 1, I ), 1 ), I ) ) |
XNRM = ABS( X( IDAMAX( N, X( 1, I ), 1 ), I ) ) |
| RNRM = ABS( WORK( IDAMAX( N, WORK( 1, I ), 1 ), I ) ) |
RNRM = ABS( WORK( IDAMAX( N, WORK( 1, I ), 1 ), I ) ) |
| IF( RNRM.GT.XNRM*CTE ) |
IF( RNRM.GT.XNRM*CTE ) |
| + GO TO 10 |
$ GO TO 10 |
| END DO |
END DO |
| * |
* |
| * If we are here, the NRHS normwise backward errors satisfy the |
* If we are here, the NRHS normwise backward errors satisfy the |
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| * Solve the system SA*SX = SR. |
* Solve the system SA*SX = SR. |
| * |
* |
| CALL SPOTRS( UPLO, N, NRHS, SWORK( PTSA ), N, SWORK( PTSX ), N, |
CALL SPOTRS( UPLO, N, NRHS, SWORK( PTSA ), N, SWORK( PTSX ), N, |
| + INFO ) |
$ INFO ) |
| * |
* |
| * Convert SX back to double precision and update the current |
* Convert SX back to double precision and update the current |
| * iterate. |
* iterate. |
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| CALL DLACPY( 'All', N, NRHS, B, LDB, WORK, N ) |
CALL DLACPY( 'All', N, NRHS, B, LDB, WORK, N ) |
| * |
* |
| CALL DSYMM( 'L', UPLO, N, NRHS, NEGONE, A, LDA, X, LDX, ONE, |
CALL DSYMM( 'L', UPLO, N, NRHS, NEGONE, A, LDA, X, LDX, ONE, |
| + WORK, N ) |
$ WORK, N ) |
| * |
* |
| * Check whether the NRHS normwise backward errors satisfy the |
* Check whether the NRHS normwise backward errors satisfy the |
| * stopping criterion. If yes, set ITER=IITER>0 and return. |
* stopping criterion. If yes, set ITER=IITER>0 and return. |
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| XNRM = ABS( X( IDAMAX( N, X( 1, I ), 1 ), I ) ) |
XNRM = ABS( X( IDAMAX( N, X( 1, I ), 1 ), I ) ) |
| RNRM = ABS( WORK( IDAMAX( N, WORK( 1, I ), 1 ), I ) ) |
RNRM = ABS( WORK( IDAMAX( N, WORK( 1, I ), 1 ), I ) ) |
| IF( RNRM.GT.XNRM*CTE ) |
IF( RNRM.GT.XNRM*CTE ) |
| + GO TO 20 |
$ GO TO 20 |
| END DO |
END DO |
| * |
* |
| * If we are here, the NRHS normwise backward errors satisfy the |
* If we are here, the NRHS normwise backward errors satisfy the |
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| CALL DPOTRF( UPLO, N, A, LDA, INFO ) |
CALL DPOTRF( UPLO, N, A, LDA, INFO ) |
| * |
* |
| IF( INFO.NE.0 ) |
IF( INFO.NE.0 ) |
| + RETURN |
$ RETURN |
| * |
* |
| CALL DLACPY( 'All', N, NRHS, B, LDB, X, LDX ) |
CALL DLACPY( 'All', N, NRHS, B, LDB, X, LDX ) |
| CALL DPOTRS( UPLO, N, NRHS, A, LDA, X, LDX, INFO ) |
CALL DPOTRS( UPLO, N, NRHS, A, LDA, X, LDX, INFO ) |
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