病态代数方程求解的一种改进精细积分法  

An Improved Precise Integration Method for Ill-Conditioned Algebraic Equations

作　　者：张文志[1] 黄培彦[1] 

机构地区：[1]华南理工大学土木与交通学院,广州510641

出　　处：《应用数学和力学》2013年第3期235-239,共5页Applied Mathematics and Mechanics

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

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.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.

关 键 词：病态代数方程 精细积分法 迭代算法 指数矩阵运算 

分 类 号：O242[理学—计算数学]