On the Jacobi matrix inverse eigenvalue problem with mixed given data

被引：35
|
作者：
Xu, SF
机构：
[1] Department of Mathematics, Peking University
来源：
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1996年 / 17卷 / 03期
关键词：
Jacobi matrix; eigenvalue; inverse eigenvalue problem;
D O I：
10.1137/S089547989122065X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss the problem of constructing a 2n × 2n Jacobi matrix J2n such that its eigenvalues are given distinct values λ1, λ2, . . . , λ2n and its leading n × n principal submatrix is a given n × n Jacobi matrix Jn. We give some sufficient and necessary conditions for the solubility of the problem and propose a new fast algorithm for solving this problem. We also present some numerical results.
引用
收藏
页码：632 / 639
页数：8
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