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0103 Numerical and Computational Mathematics

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Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159321
Description: In this paper, we develop a version of the bundle method to solve unconstrained difference of convex (DC) programming problems. It is assumed that a DC representation of the objective function is avai... More
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Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159295
Description: In this paper, we derive a necessary condition for a best approximation by piecewise polynomial functions of varying degree from one interval to another. Based on these results, we obtain a characteri... More
Reviewed: Reviewed
Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/158335
Description: A special type of multi-variate polynomial of degree 4, called the double well potential function, is studied. It is derived from a discrete approx imation of the generalized Ginzburg-Landau functiona... More
Reviewed: Reviewed
Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/158516
Description: A special type of multi-variate polynomial of degree 4, called the double well potential function, is studied. It is derived from a discrete approximation of the generalized Ginzburg-Landau functional... More
Reviewed: Reviewed
Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159226
Description: The main purpose of this paper consists of providing characterizations of the inclusion of the solution set of a given conic system posed in a real locally convex topological space into a variety of s... More
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Authors: Jin, Zhong | Gao, David
Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/104304
Description: This paper presents a canonical d.c. (difference of canonical and convex functions) programming problem, which can be used to model general global optimization problems in complex systems. It shows th... More
Reviewed: Reviewed
Date: 2016
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/102050
Description: The paper presents a generalization of a known density theorem of Arrow, Barankin, and Blackwell for properly efficient points defined as support points of sets with respect to monotonically increasin... More
Reviewed: Reviewed
Date: 2016
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/154463
Description: This paper presents a canonical duality theory for solving a general nonconvex constrained optimization problem within a unified framework to cover Lagrange multiplier method and KKT theory. It is pro... More
Reviewed: Reviewed
Date: 2016
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/154696
Description: In this paper, we derive conditions for best uniform approximation by fixed knots polynomial splines with weighting functions. The theory of Chebyshev approximation for fixed knots polynomial function... More
Reviewed: Reviewed
Date: 2016
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/154639
Description: This paper sheds new light on regularity of multifunctions through various characterizations of directional Holder/Lipschitz metric regularity, which are based on the concepts of slope and coderivativ... More
Reviewed: Reviewed
Date: 2016
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/102320
Description: This paper presents an unconventional theory and method for solving general nonlinear dynamical systems. Instead of the direct iterative methods, the discretized nonlinear system is first formulated a... More
Reviewed: Reviewed
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/1959.17/154508
Description: In this article, we investigate nonlinear metric subregularity properties of set-valued mappings between general metric or Banach spaces. We demonstrate that these properties can be treated in the fra... More
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Date: 2016
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/104265
Description: The paper concerns the computation of the graphical derivative and the regular (Fréchet) coderivative of the normal-cone mapping related to C2 inequality constraints under very weak qualification cond... More
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