| 加快迭代收敛速度的两个命题 |
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| 引用本文： | 王正中,刘计良,潘灵刚,冷畅俭.加快迭代收敛速度的两个命题[J].数学的实践与认识,2010,40(12). |
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| 作者姓名： | 王正中 刘计良 潘灵刚 冷畅俭 |
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| 基金项目： | 国家"863"计划项目 |
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| 摘 要： | 定义了单调收敛函数和交错收敛函数,并根据其收敛特点,提出并证明了加快其收敛速度的两个命题.算例表明其效果较好.
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| 关 键 词： | 迭代法 单调收敛函数 交错收敛函数 收敛速度 |
Two Propositions for Accelerating Convergence Rate of the Iteration |
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| WANG Zheng-zhong,LIU Ji-liang,PAN Ling-gang,LENG Chang-jian.Two Propositions for Accelerating Convergence Rate of the Iteration[J].Mathematics in Practice and Theory,2010,40(12). |
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| Authors: | WANG Zheng-zhong LIU Ji-liang PAN Ling-gang LENG Chang-jian |
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| Abstract: | Monotone convergence function and staggered convergence function are defined. Based on convergence features of these two functions,two propositions for accelerating convergence of the iteration are proposed and proved.A numerical example shows the two propositions have better effect. |
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| Keywords: | iterative method monotone convergence function staggered convergence function convergence rate |
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