Daniel B. Szyld and Jian-Jun Xu. Convergence of Some Asynchronous Nonlinear Multisplitting Methods. Numerical Algorithms, 25:347--361, 2000.  Home/Search   Document Details and Download   Summary   Related Articles

....analysis] Roots of Nonlinear Equations: Iterative methods, Convergence, Systems of equations. 75 IOAN LAZ AR that all processors have to wait at some synchronization point before proceeding to the next iteration. The asynchronous nonlinear multisplitting methods were considered in [1] and [12], i.e. methods where no synchronization barrier is present (see [5, 3, 7] for some general discussions on asynchronous methods) Bahi et al..l [1] studied asynchronous nonlinear multisplitting methods in a general context for nonlinear fixed point problems, while Szyld and Xu [12] studied these ....

.... in [1] and [12] i.e. methods where no synchronization barrier is present (see [5, 3, 7] for some general discussions on asynchronous methods) Bahi et al..l [1] studied asynchronous nonlinear multisplitting methods in a general context for nonlinear fixed point problems, while Szyld and Xu [12] studied these methods for problems of the form (1) and extended the study to the case of overlapping blocks, i.e. certain variables are updated by more than one processors. Our framework presented here is similar to the framework used by Xu [15] for the study of asynchronous block quasi Newton ....

Daniel B. Szyld and Jian-Jun Xu. Convergence of Some Asynchronous Nonlinear Multisplitting Methods. Numerical Algorithms, 25:347--361, 2000.

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