Positivity of Block Tridiagonal Matrices
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.
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 http://dx.doi.org/10.1137/S0895479897318794
Mathematics and Statistics
Article - Journal
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