Nonnegativity of a discrete quadratic functional in terms of the (strengthened) Legendre and Jacobi conditions

DOI10.1016/S0898-1221(03)00109-3zbMath1044.49020OpenAlexW2062868249MaRDI QIDQ1827195

Roman Šimon Hilscher, Vera Zeidan

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(03)00109-3

zbMATH Keywords

discrete calculus of variationsLegendre conditiondiscrete quadratic functionalconjugate intervalJacobi difference equation

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Discrete-time control/observation systems (93C55) Discrete version of topics in analysis (39A12) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (4)

Nonnegativity and positivity of quadratic functionals in discrete calculus of variations: survey ⋮ Symmetric three-term recurrence equations and their symplectic structure ⋮ Coupled Intervals in the Discrete Optimal Control ⋮ Coupled intervals in the discrete calculus of variations: necessity and sufficiency

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