Asynchronous multisplitting iteration with different weighting schemes

Asynchronous multisplitting iteration with different weighting schemes
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具有不同权重方案的异步多重分裂迭代

DOI:
10.1016/j.amc.2009.12.027
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发表时间:
2010
期刊:
Appl. Math. Comput.
影响因子:
--
通讯作者:
Fang Chen
Fang Chen
中科院分区:
--
文献类型:
--
作者:
Fang Chen

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多分裂迭代法是由O 'Leary和白色[5]提出的,用于在并行多处理机系统上求解大型稀疏线性方程组。本文进一步建立了白色[8]研究的具有不同加权格式的多分裂迭代法的异步变形。在此基础上,建立了异步迭代框架下的一般收敛准则,并利用该准则证明了新的异步多分裂迭代方法在不同加权格式下的收敛性.
The multisplitting iteration method was presented by O’Leary and White [5] for solving large sparse linear systems on parallel multiprocessor system. In this paper, we further set up an asynchronous variant for the multisplitting iteration method with different weighting schemes studied by White [8]. Moreover, we establish a general convergence criterion for asynchronous iteration framework, and then prove the convergence of the new asynchronous multisplitting iteration method with different weighting schemes by making use of this general criterion.