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Fulltext | 0103 Numerical and Computational Mathematics
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Date: 2016
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/100713
Description: This paper aims to solve a class of CEC benchmark constrained optimization problems that have been widely studied by nature-inspired optimization algorithms. Based on canonical duality theory, these c... More
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Authors: Chen, Yi | Gao, David
Date: 2016
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/100457
Description: This paper presents a canonical dual approach for solving a nonconvex global optimization problem governed by a sum of 4th-order polynomial and a log-sum-exp function. Such a problem arises extensivel... More
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Date: 2016
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/154327
Description: This paper is devoted to the development of new sufficient conditions for the calmness and the Aubin property of implicit multifunctions. As the basic tool we employ the directional limiting coderivat... More
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Date: 2016
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/154567
Description: We give a formula for the subdifferential of the sum of two convex functions where one of them is the supremum of an arbitrary family of convex functions. This is carried out under a weak assumption e... More
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Date: 2015
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/100394
Description: A general nonlinear regularity model for a set-valued mapping F : X x R+ paired right arrows Y, where X and Y are metric spaces, is studied using special iteration procedures, going back to Banach, Sc... More
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Date: 2015
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/98984
Description: In this paper, we study relative metric regularity of set-valued mappings with emphasis on directional metric regularity. We establish characterizations of relative metric regularity without assuming ... More
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Date: 2015
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/76402
Description: Necessary and sufficient criteria for metric subregularity (or calmness) of set-valued mappings between general metric or Banach spaces are treated in the framework of the theory of error bounds for a... More
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Date: 2015
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/92549
Description: The general constrained polynomial programming problem (GPP) is considered in this paper. Problem (GPP) has a broad range of applications and is proved to be NP-hard. Necessary global optimality condi... More
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Date: 2015
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/92572
Description: Several primal and dual quantitative characterizations of regularity properties of collections of sets in normed linear spaces are discussed. Relationships between regularity properties of collections... More
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Date: 2015
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/77111
Description: This paper is devoted to the study of a broad class of problems in conic programming modeled via parameter-dependent generalized equations. In this framework we develop a second-order generalized diff... More
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Date: 2014
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/57007
Description: A new global optimization method combining genetic algorithm and Hooke-Jeeves method to solve a class of constrained optimization problems is studied in this paper. We first introduce the quadratic pe... More
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Date: 2014
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/44315
Description: Our main goal is to compute or estimate the calmness modulus of the argmin mapping of linear semi-infinite optimization problems under canonical perturbations, i.e., perturbations of the objective fun... More
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Authors: Roshchina, Vera
Date: 2014
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/45453
Description: We address the conjecture proposed by Gábor Pataki that every facially exposed cone is nice. We show that the conjecture is true in the three-dimensional case; however, there exists a four-dimensiona... More
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Date: 2014
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/63117
Description: This paper provides new versions of the Farkas lemma characterizing those inequalities of the form f(x) ≥ 0 which are consequences of a composite convex inequality (S ° g)(x) ≤ 0 on a closed conv... More
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Date: 2014
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/76551
Description: The paper presents complete characterizations of Lipschitzian full stability of locally optimal solutions to second-order cone programs (SOCPs) expressed entirely in terms of their initial data. These... More
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