代数特征值反问题可解的充分条件  

SUFFICIENT CONDITIONS FOR THE SOLUBILITY OF AN ALGEBRAIC INVERSE EIGENVALUE PROBLEM

作　　者：戴华[1] 

机构地区：[1]南京大学

出　　处：《计算数学》1989年第3期333-336,共4页Mathematica Numerica Sinica

摘　　要：本文讨论如下代数特征值反问题的可解性:问题G.设A=(a_(ij))和A_k=(a_(ij)^((k)))(k=1,…,n)Given n + 1 real nxn matrices A, A_1,…, A_n and n real numbers λ_1,…,λ_n,we study the problem of the existence of n real numbers c_1,…, c_n such that theeigenvalues of A + sum from i=1 to n(c_iA_i are λ_1,…,λ_n).We give two sufficient conditions forthe problem to have a solution. Our results are better than some of the results in[2].

关 键 词：代数特征值 反问题 可解性 

分 类 号：O241.6[理学—计算数学]