Positivity of Block Tridiagonal Matrices

Author

Martin Bohner, Missouri University of Science and TechnologyFollow
Ondřej Došlý

Abstract

This paper relates disconjugacy of linear Hamiltonian difference systems (LHdS) (and hence positive definiteness of certain discrete quadratic functionals) to positive definiteness of some block tridiagonal matrices associated with these systems and functionals. As a special case of a Hamiltonian system, Sturm--Liouville difference equations are considered, and analogous results are obtained for these important objects.

Recommended Citation

M. Bohner and O. Došlý, "Positivity of Block Tridiagonal Matrices," Journal on Matrix Analysis and Applications, Society for Industrial and Applied Mathematics (SIAM), Jan 1998.

The definitive version is available at https://doi.org/10.1137/S0895479897318794

Department(s)

Mathematics and Statistics

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1998 Society for Industrial and Applied Mathematics (SIAM), All rights reserved.

Publication Date

01 Jan 1998