The Unique of Inverse Eigenvalue Problem for a Generalized Jacobi Matrices

被引：0
|
作者：
Li, Zhibin [1 ]
Zhao, Xinxin [1 ]
机构：
[1] Dalian Jiaotong Univ, Coll Math & Phys, Dalian, Peoples R China
来源：
ACC 2009: ETP/IITA WORLD CONGRESS IN APPLIED COMPUTING, COMPUTER SCIENCE, AND COMPUTER ENGINEERING | 2009年
关键词：
generalized Jacobi matrix; characteristic value; inverse problem; unique;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper presents the following inverse eigenvalue problem for generalized Jacobi matrices: Given real numbers lambda,mu(lambda not equal mu) and two nonzero vectors x,y is an element of R(n). Find nxn real generalized Jacobi matrices J (c(i) = kb(i) + l(i = 1, 2,..., n-1)) such tha Jx = lambda x, Jy = mu y. The algorithm and uniqueness theorem of the solution of the problem are given, and some numerical example is provided.
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页码：21 / 23
页数：3
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