Abstract
Frommer's nonlinear multisplitting methods for solving nonlinear systems of equations are extended to the asynchronous setting. Block methods are extended to include overlap as well. Several specific cases are discussed. Sufficient conditions to guarantee their local convergence are given. A numerical example is presented illustrating the performance of the new approach.
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Szyld, D.B., Xu, JJ. Convergence of some asynchronous nonlinear multisplitting methods. Numerical Algorithms 25, 347–361 (2000). https://doi.org/10.1023/A:1016617309072
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DOI: https://doi.org/10.1023/A:1016617309072