Optimality conditions for discrete calculus of variations problems
type: Item
instance of: scholarly article
title: Optimality conditions for discrete calculus of variations problems
zbMATH Open document ID: 1154.49014
author: Boban Marinković
published in: Optimization Letters
publication date: 2008-09-04T00:00:00Z
review text: Using a discrete analog of the so-called ``2-regularity condition'' instead of the better known ``Robinson condition'' in Mathematical Programming, the author obtains first order and also second order necessary optimality conditions for the problem of minimizing a cost-functional of the form: \[ \varphi (\xi):=f_0(x_0,x_N)+ \sum_0^N f(x_{i+1},x_{i+1}-x_i), \quad \xi=(x_0,x_1,\dots, x_N)\in\mathbb R^{N+1} \] subject to: \[ g_i(x_i)=0\in\mathbb R^m, \;i=0,1,\dots,N, \quad K(x_0,x_N)=0\in\mathbb R^k. \]
reviewed by: Ştefan Mirică
Mathematics Subject Classification ID: 49K10
Mathematics Subject Classification ID: 49M37
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 5320841
zbMATH Keywords: discrete calculus of variations
zbMATH Keywords: optimality conditions
zbMATH Keywords: mathematical programming
zbMATH Keywords: 2-regularity
MaRDI profile type: Publication
full work available at URL: s11590-007-0059-0
OpenAlex ID: W2105719383
cites work: Q2747318
cites work: Q3421181
cites work: Extremum conditions for smooth problems with equality-type constraints
cites work: Sensitivity analysis for discrete optimal control problems
cites work: Optimality Conditions in Discrete Optimal Control Problems with State Constraints
cites work: Nonnegativity and positivity of quadratic functionals in discrete calculus of variations: survey
cites work: Second Order Sufficiency Criteria for a Discrete Optimal Control Problem
cites work: Coupled intervals in the discrete calculus of variations: necessity and sufficiency
DOI: 10.1007/S11590-007-0059-0
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description: scientific article; zbMATH DE number 5320841