ON THE GENERAL ALGEBRAIC INVERSE EIGENVALUE PROBLEMS

作     者：Yu-haiZhang 

作者机构：DepartmentofMathematicsShandongUniversityJinan250100China 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2004年第22卷第4期

页      面：567-580页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Linear algebra Eigenvalue problem Inverse problem 

摘      要：A number of new results on sufficient conditions for the solvability and numerical algorithms of the following general algebraic inverse eigenvalue problem are obtained: Given n+1 real n×n matrices A = (aij), Ak=(a^(k)ij)(k=1,2,...,n) and n distinct real numbers λ1, λ2, ..., λn, find n real numbers cl, c2,..., cn such that the matrix A(c)=A+∑^nk=1 ckAk has eigenvalues λ1, λ2,...,λn.