Asynchronous multisplitting methods for nonlinear fixed point problems (Q1381380)

The paper discusses some asynchronous multisplitting methods for nonlinear problems, based on the pioneering work of \textit{D. P. O'Leary} and \textit{R. E. White} [SIAM J. Algebraic Discrete Methods 6, 630-640 (1985; Zbl 0582.65018)]. The authors give an unitary algorithmic formulation and the corresponding mathematical analysis for such discrete overlapping subdomain technique. Two-stage multisplitting algorithms, using a strongly regular splitting of an operator, for pseudo-linear problems are presented. Many concrete algorithms for linear problems are also discussed.