| 病态代数方程求解的一种改进精细积分法 |
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| 引用本文： | 张文志,黄培彦.病态代数方程求解的一种改进精细积分法[J].应用数学和力学,2013,34(3):235-239. |
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| 作者姓名： | 张文志 黄培彦 |
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| 作者单位： | 华南理工大学 土木与交通学院,广州 510641 |
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| 基金项目： | 国家自然科学基金(重点)资助项目 |
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| 摘 要： | 通过在病态代数方程精细积分法的基础上增加一个迭代改善算法，建立了病态代数方程求解的改进精细积分法．该方法进一步提高了病态代数方程精细积分法的精度和效率，具有良好的应用前景．算例证明了该方法在病态代数方程求解中的有效性．
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| 关 键 词： | 病态代数方程 精细积分法 迭代算法 指数矩阵运算 |
| 收稿时间： | 2012-12-21 |
An Improved Precise Integration Method for Ill-Conditioned Algebraic Equations |
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| Institution: | School of Civil and Transportation Engineering, South China University of Technology, Guangzhou 510641, P.R.China |
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| Abstract: | An improved process of iterative algorithm was added to the precise integration method for ill-conditioned algebraic equations and an improved precise integration method for ill-conditioned algebraic equations was therefore constructed. The method further improves the accuracy and efficiency of the precise integration method for ill-conditioned algebraic equations and is of good application prospect. Numerical examples show the validity of the present method. |
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