Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898002 | Linear Algebra and its Applications | 2018 | 32 Pages |
Abstract
In this paper, we propose and discuss a class of inverse eigenvalue problems for real symmetric banded matrices with odd bandwidth. For an odd 2p+1 with a positive integer p, the problem is to construct an nÃn real symmetric banded matrix with bandwidth 2p+1 whose mÃm leading principal submatrix is a given mÃm real symmetric banded matrix with bandwidth 2p+1 and spectrum is a given set of real numbers {λi}i=1n, where the number of distinct real numbers of {λi}i=1n is 2k when m=pk, or 2k+1 when pk
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jicheng Li, Liqiang Dong, Guo Li,