An inverse eigenvalue problem for symmetrical tridiagonal matrices

We consider the following inverse eigenvalue problem: to construct a symmetrical tridiagonal matrix from the minimal and maximal eigenvalues of all its leading principal submatrices. We give a necessary and sufficient condition for the existence of such a matrix and for the existence of a nonnegativ...

Full description

Saved in:
Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2007-09, Vol.54 (5), p.699-708
Main Authors: Pickmann, Hubert, Soto, Ricardo L., Egaña, J., Salas, Mario
Format: Article
Language:English
Subjects:
Algorithms
Construction
Eigenvalues
Inverse
Mathematical analysis
Mathematical models
Matrices
Matrix inverse eigenvalue problem
Matrix methods
Symmetrical tridiagonal matrices
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider the following inverse eigenvalue problem: to construct a symmetrical tridiagonal matrix from the minimal and maximal eigenvalues of all its leading principal submatrices. We give a necessary and sufficient condition for the existence of such a matrix and for the existence of a nonnegative symmetrical tridiagonal matrix. Our results are constructive, in the sense that they generate an algorithmic procedure to construct the matrix.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2006.12.035