Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416615 | Linear Algebra and its Applications | 2007 | 18 Pages |
Abstract
In this paper, we consider the linear parameterized inverse eigenvalue problem of bisymmetric matrices which is described as follows:Problem IGiven real bisymmetric matrices B0,B1,B2,â¦,Bn, and real numbers λ1â,λ2â,â¦,λnâ, find values of c=(c1,c2,â¦,cn)T such that the eigenvalues of the matrixB(c)=B0+c1B1+c2B2+â¯+cnBn are precisely λ1â,λ2â,â¦,λnâ.We first establish the structure of bisymmetric matrices. Based on the Newton-type iterative method, we then turn Problem I into the inverse eigenvalue problems of symmetric matrices with small sizes, and solve these problems. Finally, we present numerical examples to illustrate our results.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Shi-Fang Yuan, Qing-Wen Wang, Zhi-Ping Xiong,