Parallel exact and approximate arrow-type inverses on symmetric multiprocessor systems

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

Volumn 3991 LNCS - I, Issue , 2006, Pages 506-513

  Gravvanis, George A ^a   Giannoutakis, Konstantinos M ^a  

^a DEMOCRITUS UNIVERSITY OF THRACE   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ARTIFICIAL INTELLIGENCE; COMPUTER SCIENCE; COMPUTER SIMULATION; INVERSE PROBLEMS; NUMERICAL METHODS;

ARROW-TYPE INVERSE; FACTORIZATION PROCEDURE; MULTI-PASCAL; SYMMETRIC MULTIPROCESSOR SYSTEMS;

MULTIPROCESSING SYSTEMS;

EID: 33746628905     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11758501_69     Document Type: Conference Paper

References (14)

1. Akl, S.G.: Parallel Computation: Models and Methods. Prentice Hall (1997)
2. Dongarra, J.J., Duff, I., Sorensen, D., van der Vorst, H.A.: Numerical Linear Algebra for High-Performance Computers. SIAM (1998)
3. Duff, I.: The impact of high performance computing in the solution of linear systems: trends and problems. J. Comp. Applied Math. 123 (2000) 515-530
4. Evans, D.J.: Preconditioning Methods: Theory and Applications. Gordon and Breach Science Publishers (1983)
5. Gravvanis, G.A.: Explicit Approximate Inverse Preconditioning Techniques. Archives of Computational Methods in Engineering 9(4) (2002) 371-402
6. Gravvanis, G.A.: Explicit isomorphic iterative methods for solving arrow-type linear systems. Inter. J. Comp. Math. 74(2) (2000) 195-206
7. Gravvanis, G.A.: Solving parabolic and nonlinear 1D problems with periodic boundary conditions. CD-ROM Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering 2000
8. Gravvanis, G. A.: Parallel preconditioned algorithms for solving special tridiagonal systems. Proceedings of Dynamical Systems and Applications III, (1999) 241-248 Dynamic Publishers
9. Gravvanis, G.A.: Parallel matrix techniques. In: K. Papailiou, D. Tsahalis, J. Periaux, C. Hirsch, M. Pandolfi eds. Computational Fluid Dynamics I (1998) 472-477 Wiley
10. Gravvanis, G.A., Platis, A.N., Giannoutakis, K.M., Violentis, J.B., Lipitakis, E.A.: Performability evaluation of multitasking and multiprocessor systems by explicit approximate inverses. Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications, H.R. Arabnia and Youngsong Mun eds. III (2003) 1324-1331 CSREA Press
11. Grote, M.J., Huckle, T.: Parallel preconditioning with sparse approximate inverses. SIAM J. Sci. Comput. 18 (1977) 838-853
12. Grote, M.J., Simon, H.D.: Parallel preconditioning and approximate inverses on the connection machine. In: R.F. Sincovec, D.E. Keyes, L.R. Petzold and D.A. Reed, eds. Parallel Processing for Scientific Computing 2 (1993) 519-523 SIAM
13. Lester, B.P.: The Art of Parallel Programming. Prentice-Hall Int. Inc (1993)
14. Saad, Y., van der Vorst, H.A.: Iterative solution of linear systems in the 20th century. J. Comp. Applied Math. 123 (2000) 1-33