Skew-circulant preconditioners for systems of LMF-based ODE codes

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 1988, Issue , 2001, Pages 93-101

  Bertaccini, Daniele ^a   Ng, Michael K ^b  

^a UNIVERSITY OF FLORENCE   (Italy)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR SYSTEMS; NUMERICAL ANALYSIS; NUMERICAL METHODS;

BLOCK CIRCULANT; BOUNDARY VALUE METHODS; CIRCULANT PRECONDITIONER; ILL-CONDITIONED; LINEAR MULTI STEPS; NUMERICAL RESULTS; PRECONDITIONERS; SPARSE LINEAR SYSTEMS;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 84879373835     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45262-1_12     Document Type: Conference Paper

References (7)

1. D. Bertaccini, P-Circulant Preconditioners and the Systems of the ODE Codes, Iterative Methods in Scientific Computation IV, D. Kincaid et al., Eds, IMACS Series in Computational Mathematics and Applied Mathematics, pp. 179-193, 1999.
2. D. Bertaccini, A circulant preconditioner for the systems of LMF-based ODE codes, to appear on SIAM J. Sci. Comput.
3. D. Bertaccini and M. Ng, The Convergence Rate of Block Preconditioned Systems ArisingF rom LMF-Based ODE Codes, submitted.
4. L. Brugnano and D. Trigiante, Solving Differential Problems by Multistep Initial and Boundary Value Methods, Gordon and Berach Science Publishers, Amsterdam, 1998.
5. R. Chan and M. Ng, Conjugate Gradient Methods for Toeplitz Systems, SIAM Review, Vol. 38 (1996), 427-482.
6. R. Chan, M. Ng and X. Jin, Circulant Preconditioners for SolvingOr dinary Differential Equations, to appear in Structured Matrices, D. Bini et al., eds. Nova Science Pub.
7. D. Bini, B. Meini, Effective Methods for SolvingB anded Toeplitz Systems, SIAMJ. Matr. Anal. Appl., vol. 20 (1999), 700-719