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Recent Developments in Second Order Necessary Optimality Conditions
1998In this paper a new second order necessary optimality condition, stated in the so-called image space, is established; such a condition allows to obtain, as particular cases, some recent results which are presented in order to stimulate and improve the study in second order optimality conditions.
CAMBINI, ALBERTO +2 more
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On second-order optimality conditions in nonlinear optimization
Optimization Methods and Software, 2016In this work we present new weak conditions that ensure the validity of necessary second-order optimality conditions SOC for nonlinear optimization. We are able to prove that weak and strong SOCs hold for all Lagrange multipliers using Abadie-type assumptions.
Roberto Andreani +3 more
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Second-Order Conditions for Optimization Problems with Constraints
SIAM Journal on Control and Optimization, 1998The author obtains necessary or sufficient second-order optimality conditions for constrained optimization problems. The main novelty is to work in a projective space (space of directions), which allows to improve the known results.
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On the Classical Necessary Second-Order Optimality Conditions
Journal of Optimization Theory and Applications, 2004In this paper a nonconvex optimization problem in \({\mathbb R}^n\) with equality and inequality constraints is considered. Assuming that the Mangasarian-Fromovitz constraint qualifications hold at a local optimal solution, the aim is to provide sufficient conditions that imply the necessary second-order conditions CN2, with the same Lagrange ...
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Second-Order Necessary Conditions in Constrained Semismooth Optimization
SIAM Journal on Control and Optimization, 1987The author considers a finite-dimensional nonlinear programming problem of standard form, i.e. having a finite number of equality and inequality constraints. All the functions appearing in the problem are assumed to be semismooth in the sense of \textit{R. Mifflin} [ibid. 15, 959-972 (1977; Zbl 0376.90081)].
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On second-order optimality conditions in optimal control
2016 International Conference on Information and Digital Technologies (IDT), 2016We observe some results obtained by the author on necessary and sufficient second-order conditions for the strong, bounded strong, Pontryagin's and weak local minimum in optimal control problems with control system, given by ordinary differential equations, considered on a fixed time interval, subject to control constraints and finite number of end ...
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Intermittent fasting in the prevention and treatment of cancer
Ca-A Cancer Journal for Clinicians, 2021Katherine Clifton +2 more
exaly
Second order optimality conditions with applications
2007The aim of this article is to present the algorithm to compute the first conjugate point along a smooth extremal curve. Under generic assump- tions, the tra jectory ceases to be optimal at such a point. An implementation of this algorithm, called cotcot, is available online and based on recent devel- opments in geometric optimal control.
Bonnard, Bernard +2 more
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Oncologic emergencies and urgencies: A comprehensive review
Ca-A Cancer Journal for Clinicians, 2022Bonnie Gould Rothberg +2 more
exaly