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并行迭代的高阶加速方法 被引量:1

The high-order acceleration of simultaneous iterative method
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摘要 从4阶收敛的并行迭代公式出发,利用并行加速技巧构造了一个5阶收敛的并行迭代算法,并进行了收敛性分析,通过数值实验验证了算法的高速收敛性. Simultaneous iteration is an effective method for solving nonlinear algebraic equations. Based on a simulta- neous iteration of fourth order, we construct a new simultaneous iterative method with five order convergence and discuss the convergence of this method. Initial conditions and numerical examples are given.
作者 吴迪 黄君明
出处 《浙江大学学报(理学版)》 CAS CSCD 2014年第4期408-412,共5页 Journal of Zhejiang University(Science Edition)
基金 国家自然科学基金资助项目(10204018)
关键词 多项式方程 并行迭代法 收敛性 初始条件 polynomial equations simultaneous iterative methods convergence initial conditions
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