Convergence of discrete asynchronous iterations

International Journal of Computer Mathematics

Volumn 74, Issue 1, 2000, Pages 113-125

  Bahi, Jacques M ^a   Michel, Christian J ^b  

^a UNIVERSITÉ DE FRANCHE COMTÉ   (France)

^b UNIVERSITÉ DE TECHNOLOGIE DE BELFORT MONTBÉLIARD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOOLEAN FUNCTIONS; CHAOS THEORY; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS;

BLOCK PARTITIONING; BOOLEAN NETWORKS; CONTRACTION FUNCTION; DISCRETE ASYNCHRONOUS ITERATIONS; DISCRETE DYNAMIC SYSTEMS;

ITERATIVE METHODS;

EID: 0033749010     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207160008804926     Document Type: Article

References (7)

1. Baudet, G. M. (1978). Asynchronous iterative methods for multiprocessors. J. ACM, 25, 226-244.
2. Bertsekas, D. P. and Tsitsiklis, J. N. (1989). "Parallel and Distributed Computation", Prentice Hall, Englewood Cliffs, New Jersey.
3. Chazan, D. and Miranker, W. L. (1969). Chaotic relaxation, Linear Algebra and its Applications, 2, 199-222.
4. El Tarazi, M. N. (1982). Some convergence results for asynchronous algorithms, Numer. Math., 39, 325-340.
5. Miellou, J.-C. (1975). Algorithms de relaxation chaotique retard, RAIRO, R1, 55-82.
6. Robert, F. (1995). "Les Systèmes Dynamiques Discrets", Mathématiques and Applications 19, Springer-Verlag, Berlin Heidelberg.
7. Robert, F., Charnay, M. and Musy, F. (1975). Itérations chaotiques série-parallèle pour des équations non-linéaires de point fixe, Aplikace Matematiky, 20, 1-38.