计算二维零空间的非线性分歧问题的新途径  

A NEW APPROACH TO SOLVING NONLINEAR BIFURCATION PROBLEMS WITH TWO-DIMENSIONAL NULL SPACE

作　　者：杨忠华[1] 郭谦[1] 

机构地区：[1]上海师范大学数学科学学院,上海200234

出　　处：《高等学校计算数学学报》2000年第3期279-287,共9页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金;上海市高校科技发展基金

摘　　要：For the nonlinear bifurcation problems with two-dimensional null space,we propose an extel1ded system f which is generally not regular’ Applylng the pseudoarc-length homotopy continuatlon algorlthm on the singular problems, we give a newapproach to solving the nonlinear bifurcation problems with two-dimensional nullspace. The numerical exarnples show the effectiveness of the method.For the nonlinear bifurcation problems with two-dimensional null space,we propose an extel1ded system f which is generally not regular' Applylng the pseudoarc-length homotopy continuatlon algorlthm on the singular problems, we give a newapproach to solving the nonlinear bifurcation problems with two-dimensional nullspace. The numerical exarnples show the effectiveness of the method.

关 键 词：二维零空间 非线性分歧问题 非线性代数方程 扩张系统 数值方法 

分 类 号：O241.7[理学—计算数学]