病态代数方程求解的一种改进精细积分法

张文志; 黄培彦

doi:10.3879/j.issn.1000-0887.2013.03.003

病态代数方程求解的一种改进精细积分法

doi: 10.3879/j.issn.1000-0887.2013.03.003

华南理工大学土木与交通学院,广州 510641

基金项目: 国家自然科学基金(重点)资助项目(11132004；51078145)

详细信息

作者简介:
张文志(1982—),男,安徽人(E-mail: cheungmanchi@126.com);黄培彦(1952—),男,广东人,教授,博士,博士生导师(通讯作者.Tel:+86-20-87114460;E-mail: pyhuang@scut.edu.cn).

中图分类号: O242
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出版历程
- 收稿日期: 2012-12-21
- 修回日期: 2013-01-07
- 刊出日期: 2013-03-15

An Improved Precise Integration Method for Ill-Conditioned Algebraic Equations

School of Civil and Transportation Engineering, South China University of Technology, Guangzhou 510641, P.R.China

摘要

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．
- 病态代数方程 /
- 精细积分法 /
- 迭代算法 /
- 指数矩阵运算
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.
- ill-conditioned algebraic equations /
- precise integration method /
- iterative algorithm /
- exponential matrix computation

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参考文献(16)

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