一类求解非线性代数方程组的并行多分裂AOR算法

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Parallel Multisplitting AOR Method for Solving a Class of System of Nonlinear Algebraic Equations

摘要: 本文提出了求解大型非线性代数方程组Aф(x)+Bψ(x)=b的并行多分裂AOR(Accelerated Overrela Xation)算法。在一定的条件下,证明了非线性代数方程组解的存在唯一性,并建立了新算法的全局收敛性理论。
- 非线性代数方程组 /
- 并行算法 /
- 松弛 /
- H-矩阵
Abstract: In this paper,we propose a class of parallel multisplitting AOR method for solving large-scale system of nonlinear algehraic equations Aφ(x)+Bφ(x)=b,Under certain conditions,we prove the exisrtence and uniqueness of the solution of thissystem of nonlinear equations and.set up thc globai convergence theory of the newmethod.
- system of nonlinear algebraic equations /
- parallel method /
- relaxation /
- H-matrix

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