๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A class of asynchronous parallel iterations for the systems of nonlinear algebraic equations

โœ Scribed by Zhong-Zhi Bai

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
701 KB
Volume
39
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis

Asynchronous parallel multlsplitting nonlinear iterative methods are established for the system of nonlinear algebraic equations A~p(x) -{-Tยข(x) = b, with A, T E L(R n) being matrices having particular properties, ~, ~b : R n ---* R n being diagonal and continuous mappings, and b E R n a known vector, and their global convergence and asymptotic convergence rates are investigated in detail under some reasonable conditions. (~) 2000 Elsevier Science Ltd. All rights reserved.

๐Ÿ“œ SIMILAR VOLUMES

Asynchronous multisplitting two-stage it
Asynchronous multisplitting two-stage iterations for systems of weakly nonlinear equations
โœ Zhong-Zhi Bai; Yu-Guang Huang ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 1018 KB

For the large sparse systems of weakly nonlinear equations arising in the discretizations of many classical differential and integral equations, this paper presents a class of asynchronous parallel multisplitting two-stage iteration methods for getting their solutions by the high-speed multiprocesso

An asynchronous parallel algorithm for s
An asynchronous parallel algorithm for solving a class of nonlinear simultaneous equations
โœ D.J. Evans; Wang Deren ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 533 KB

Evans, D.J. and W. Deren, An asynchronous parallel algorithm for solving a class of nonlinear simultaneous equations, Parallel computing 17 (1991) 165-180. The Schwarz Alternating procedure is used in a domain decomposition strategy to study the suitability of overlapping domains when a nonlinear e

A class of asynchronous parallel nonline
A class of asynchronous parallel nonlinear accelerated overrelaxation methods for the nonlinear complementarity problems
โœ Zhong-Zhi Bai ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 524 KB

In accordance with the principle of using sufficiently the delayed information, and by making use of the nonlinear multisplitting and the nonlinear relaxation techniques, we present in this paper a class of asynchronous parallel nonlinear multisplitting accelerated overrelaxation (AOR) methods for s