求解逆特征值问题的牛顿类方法的收敛判据  

A CONVERGENCE CRITERION OF THE NEWTON-LIKE METHOD FOR INVERSE EIGENVALUE PROBLEMS

作　　者：魏婷婷[1] 沈卫平[1] Wei Tingting Shen Weiping 

机构地区：[1]浙江师范大学数学系,金华321004 [2]Department of Mathematics, Zhejiang Normal University, Jinhua 321004

出　　处：《高等学校计算数学学报》2015年第4期312-325,共14页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金(11101379)

摘　　要：1 引言 多年来，众多数学工作者在推导和分析如下定义的逆特征值问题（IEP）的理论和算法上表现出了相当大的兴趣．以下我们设c=（c1，c2，…，cn）T∈Rn，{A}，是n个实对称的札×n矩阵．The Newton-like met pre hod sent paper is concerned with the convergence problem of the for solving the inverse eigenvalue problems. We try to use the majorizing sequence to study the convergence issue. Assuming the distinction of the given eigenvalues and the nonsingularity of the Jacobian matrix at the initial point, a Kantorovich-type convergence criterion based on the information around the initial point is established. Comparing with other known convergence results ours is ＂solution free

关 键 词：逆特征值问题 收敛判据 牛顿 求解 数学工作者 N矩阵 实对称 

分 类 号：O241.7[理学—计算数学]