| 解块非线性方程组简化Newton迭代法的一种并行实现方案 |
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| 引用本文： | 赵双锁.解块非线性方程组简化Newton迭代法的一种并行实现方案[J].宁夏大学学报(自然科学版),2000,21(1):72-75. |
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| 作者姓名： | 赵双锁 |
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| 作者单位： | 宁夏大学数学与电算工程系,宁夏银川,750021 |
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| 基金项目： | 国家自然科学基金资助项目!(1 9671 0 3 9) |
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| 摘 要： | 对于由解ｍ解ｓｔｉｆｆ常微分方程组的一般隐式线性方法所产生的ｓｍ维非线性方程组的简化Ｎｅｗｔｏｎ迭代法，提出一种新的并行实现格式，该格式 实运算组成，没有内迭代过程。当Ｊｈ为带状矩阵时，该格式是优越的，也有效的。
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| 关 键 词： | 非线性方程组 简化Newton迭代法 常微分方程 |
| 修稿时间： | 1999-09-08 |
A parallel implementation scheme for the simplified Newton iteration method for solving block-nonlinear equation systems |
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| ZHAO Shuang-suo.A parallel implementation scheme for the simplified Newton iteration method for solving block-nonlinear equation systems[J].Journal of Ningxia University(Natural Science Edition),2000,21(1):72-75. |
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| Authors: | ZHAO Shuang-suo |
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| Abstract: | For the simplified Newton iteration method for solving smdimenitional systems of nonlinear equations produced by the general implicit linear methods numerically treatting m dimenitional stiff systems of ordinary differential equations,a new parallel implementation scheme is presented.This scheme only consists of real operations,and there is no inner iteration process.When Jh is a band matrix,this scheme is supperior,otherwise if the change of Jh is slow,or if not,high stage methods are used,then the scheme is efficient. |
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| Keywords: | nonlinear equation system general linear method simplified Newton iteration method LU decomposition parallel computation |
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