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Parallel Multisplitting AOR method for solving a class of system of nonlinear algebraic equations

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Abstract

A class of parallel, multisplitting accelerated overrelaxation (AOR) method is set up for solving large-scale system of nonlinear algebraic equations Aϕ(x)+Bψ(x)=b. Under certain conditions, we prove the existence and uniqueness of the solution of this system of nonlinear equations and set up the global convergence theory of the new method.

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Authors and Affiliations

  1. Institute of Mathematics, Fudan University, 200433, Shanghai, P. R. China

    Bai Zhongzhi

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  1. Bai Zhongzhi
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Communicated by Zhang Ruqing

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Zhongzhi, B. Parallel Multisplitting AOR method for solving a class of system of nonlinear algebraic equations. Appl Math Mech 16, 675–682 (1995). https://doi.org/10.1007/BF02455252

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  • DOI: https://doi.org/10.1007/BF02455252

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