Constrained second order optimization on non-archimedean fields

DOI10.1016/S0019-3577(03)90073-5zbMath1078.49002OpenAlexW2156994400MaRDI QIDQ1433184

Vera Zeidan, Khodr Shamseddine

Publication date: 15 June 2004

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(03)90073-5

zbMATH Keywords

optimizationconstraintsLevi-Civita fieldlocal extremanon-Archimedean calculus

Mathematics Subject Classification ID

Programming in abstract spaces (90C48) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Non-Archimedean valued fields (12J25) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30) Non-Archimedean analysis (26E30)

Related Items (5)

On Non-Archimedean Valued Fields: A Survey of Algebraic, Topological and Metric Structures, Analysis and Applications ⋮ Analysis on the Levi-Civita field and computational applications ⋮ The implicit function theorem in a non-Archimedean setting ⋮ On the topological structure of the Levi-Civita field ⋮ One-variable and multi-variable calculus on a non-Archimedean field extension of the real numbers

Cites Work

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• On the solutions of linear ordinary differential equations and Bessel-type special functions on the Levi-Civita field
• Fields: Algebraically closed and others
• Algebraically Closed Fields Analogous to Fields of Puiseux Series
• Allgemeine Bewertungstheorie.

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