Probabilistic Approach to the Asynchronous Iteration

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References

[1] A. S. Rasulov, “Asynchronous and Statistical Algorithms for the Solution Linear and Nonlinear Equations,” PhD Dissertation, Novosibirsk, 1992, Russia.
http://fizmathim.com/asinhronno-statisticheskie-algoritmy-resheniya-lineynyh-i-nelineynyh-uravneniy

[2] S. M. Ermakov, V. V. Nekrutkin and A. S. Sipin, “Random Processes for Classical Equations of Mathematical Physics,” Kluwer Academic Publication, London, 1989.

[3] G. M. Baudet, “Iterative Methods for Asynchronous Multiprocessors, High Speed Computer and Algorithm Organization,” In: D. Kuck, D. Lawrie and A. Sameh, Eds., Academic Press, New York, 1977, pp. 309-310.

[4] G. M. Baudet, “Asynchronous Iterative Methods for Multiprocessors,” Journal of Associated Computation, Vol. 25. No. 2, 1978, pp. 226-244. http://dx.doi.org/10.1145/322063.322067

[5] F. Robert, M. Charnay and F. Musy, “Iteration Chaotiques Serie-Parablele Pour Equations Non-Linearires de Point Fixe,” Applied Mathematics, Vol. 20, No. 1, 1975, pp. 1-38.

[6] D. Chazan and W. Miranker, “Chaotic Relaxation,” Linear Algebra and Its Applications, Vol. 2, 1969, pp. 199-229.
http://dx.doi.org/10.1016/0024-3795(69)90028-7

[7] J. D. Donelly, “Periodic Chotic Relaxation,” Linear Algebra and Its Applications, No. 2, 1971, pp. 117-128.
http://dx.doi.org/10.1016/0024-3795(71)90033-4

[8] B. B. Nesterenko and V. A. Marchuk, “Basics of Asynchronous Methods for Parallel Calculations,” Kiev. Nauka-Dumka, 1989, p. 176, Monograph (in Russian).

[9] W. Shooman, “Orthogonal Processing, Parallel Processors, System, Technologies and Application,” 1970, pp. 297-308.

[10] V. N. Belectkiy, “Multiprocessors and Parallel Structures with Organization of Asynchronous Calculations,” Kiev, Nauka-Dumka, 1988, p. 240 (in Russian).