友阵逆特征值问题的递推法

RECURRENCE METHOD OF INVERSE EIGENVALUE PROBLEM OF COMPANION MATRIX

本文主要讨论友阵的逆特征值问题，对于下文（0）式所示矩阵，任意给定n个数λ1，λ2，…，λn．使M以λi（i=1．2，…，n）为其特征值．

This paper discusses the inverse eigenvalue problem of companion matrix asfollow:give any sequences λ1,λ2, …, λn, then companion matrix M has λ1,λ2, …,λn, as its eigenvalues.The paper also points out the method to get the solution.