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Mathematics Faculty Articles
On the Construction of Jacobi Matrices from Mixed data
Document Type
Article
Publication Date
2015
Publication Title
Alabama Journal of Mathematics
ISSN
2373-0404
Volume
39
First Page
1
Last Page
4
Abstract
We show that a unique Jacobi matrix can be reconstructed from two types of mixed data: 1. its two eigenpairs, 2. its eigenvalues and the eigenvalues of its submatrix obtained by removing the first two rows and columns and its 1-1 entry. For the second case, the condition of existence is provided. In addition, we summarize the equivalent sets of parameters used to recover Jacobi matrices and show some direct connections.
NSUWorks Citation
Cao, Lei and Yang, Yilin, "On the Construction of Jacobi Matrices from Mixed data" (2015). Mathematics Faculty Articles. 268.
https://nsuworks.nova.edu/math_facarticles/268
ORCID ID
0000-0001-7613-7191
ResearcherID
G-7341-2019