Results 251 to 260 of about 7,143,501 (298)
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On quadratically constrained quadratic optimization problems and canonical duality theory
Optimization Letters, 2020The aim of this paper is to rigorously treat quadratic optimization problems by the method suggested by canonical duality theory (CDT) and to compare the results. The author obtains with the results on this class of problems obtained using CDT by Gao and his collaborators in various papers.
Constantin Zălinescu
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Derivation of duality in mathematical programming and optimization theory
European Journal of Operational Research, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Duality Theory in Infinite Horizon Optimization Models
2006In intertemporal resource allocation problems with no terminal date, price systems which characterize efficient or optimal allocations have figured prominently since the pioneering contribution by Malinvaud (1953). The method of duality theory that has been developed to study such problems relies on convex analysis and may be viewed as an extension of ...
Tapan Mitra
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Duality Theory for Optimization Problems with Interval-Valued Objective Functions
Journal of Optimization Theory and Applications, 2009To solve the investigated interval-valued nonlinear optimization problems a partial ordering of closed intervals is applied. Using this, a solution concept is suggested which is similar to the concept of a (weakly) nondominated solution in multicriterial optimization.
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Duality Theory in Fuzzy Optimization Problems
Fuzzy Optimization and Decision Making, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Optimality Conditions and Duality Theory
2019This chapter studies optimization problems with constraints under special consideration of necessary and sufficient conditions for optimality of solution points. Although the theory to be presented is not immediately concerned with computational aspects of solution techniques, it nevertheless represents the foundation for the development of algorithms ...
H. A. Eiselt, Carl-Louis Sandblom
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Introduction to duality in optimization theory
Journal of Optimization Theory and Applications, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Duality theory and optimality conditions for Generalized Complementarity Problems
Nonlinear Analysis: Theory, Methods & Applications, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Giuffrè, S., Idone, G., Maugeri, A.
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Duality Theory and Optimality Conditions
1995A fundamental problem in optimization is the characterization of the solution of the optimization problem. In linear programming theory, this is achieved by Duality theory. This theory establishes a relationship between optimal solutions of two closely related linear programs, called the pair of dual linear programs. We now introduce this theory.
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Duality theory in mathematical programming and optimal control
Kybernetika, 1984This paper ``deals with the duality theory of extremal problems. It is divided into three parts according to the nature of the original problem (convex, smooth nonconvex, nonsmooth locally Lipschitz problems). From various aspects of the duality theory preferably the possibility of replacing the original (primal) problem by another easier (dual ...
Jirí V. Outrata, Jirí Jarusek
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