A remark on discrete quadratic functionals with separable endpoints
type: Item
instance of: scholarly article
title: A remark on discrete quadratic functionals with separable endpoints
zbMATH Open document ID: 1058.39013
author: Roman Šimon Hilscher
author: Vera Zeidan
published in: Rocky Mountain Journal of Mathematics
publication date: 2004-10-01T00:00:00Z
review text: A characterization of the positivity of a discrete quadratic functional with separable state endpoint constraints is presented in terms of conjugate intervals to 0, various conjoined bases of the associated linear Hamiltonian difference system, and solutions of the implicit and explicit Riccati difference equations. The boundary conditions are in the form of either equations or (strict) inequalities. Three sets of results are derived under different underlying assumptions.
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 2104673
zbMATH Keywords: positivity
zbMATH Keywords: discrete quadratic functional
zbMATH Keywords: separable state endpoint constraints
zbMATH Keywords: linear Hamiltonian difference system
zbMATH Keywords: Riccati difference equations
reviewed by: Qingkai Kong
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181075467
OpenAlex ID: W2086428693
DOI: 10.1216/RMJM/1181075467
description: scientific article; zbMATH DE number 2104673