Article
Positivity of Block Tridiagonal Matrices
Journal on Matrix Analysis and Applications
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.
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
1-1-1998
Publication Date
01 Jan 1998
Disciplines
Citation Information
Martin Bohner and Ondřej Došlý. "Positivity of Block Tridiagonal Matrices" Journal on Matrix Analysis and Applications (1998) Available at: http://works.bepress.com/martin-bohner/95/