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.

引用

页码：21 / 23

页数：3

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