一种计算二重X_0-对称破缺分歧点的有效方法  

An Efficient Approach for the Computation of Double X 0 - Breaking Bifurcation Points

作　　者：叶瑞松[1,2] 

机构地区：[1]广东省数字图象处理技术重点实验室 [2]汕头大学数学研究所

出　　处：《应用数学》1999年第3期96-100,共5页Mathematica Applicata

基　　金：广东省自然科学基金

摘　　要：本文将构造一种直接的方法来计算二重Ｘ０－对称破缺分歧点，其构造的扩张系统没有将零向量引入当成变量，因此节约了计算的工作量和计算机内存。We will consider an extension of a direct method due to Griewank and Reddien for the computation of double X 0 - breaking bifurcation points which arise in the two parameter dependent nonlinear problme of the form f(x,λ,μ)=0. The mehtod proposed could produce an extened system which does not introuduce the null vectors as variables,and therefore could reduce th computational effort and storage.Numerical examples are presented to demonstrate that the method is efficient.

关 键 词：X0-对称破缺 扩张系统 分歧点 非线性方程 

分 类 号：O241.7[理学—计算数学]