R.Hilscher

Disconjugacy of symplectic systems and positive definiteness of block tridiagonal matrices

Abstract

In this paper we discuss disconjugacy of symplectic difference systems in the relation with positive definiteness of a certain associated block tridiagonal matrix. Analogous results have been recently proven for a special form of a symplectic systems - linear Hamiltonian difference systems and Sturm-Liouville difference equations. Finally, reciprocal systems are also discussed.


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Last change: August 28, 2000. (c) Roman Hilscher