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Kenneth Lange
The current paper proposes and tests algorithms for finding the diameter of a compact convex set and the farthest point in the set to another point. For these two nonconvex problems, I construct Frank?Wolfe and projected gradient ascent algorithms. Altho...
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Kenneth Lange
The Hausdorff distance between two closed sets has important theoretical and practical applications. Yet apart from finite point clouds, there appear to be no generic algorithms for computing this quantity. Because many infinite sets are defined by algeb...
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Olli Jansson and Matthew W. Harris
This paper presents a solution strategy for deterministic time-optimal pursuit?evasion games with linear state constraints, convex control constraints, and linear dynamics that is consistent with linearized relative orbital motion models such as the Cloh...
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Manlio Gaudioso, Sona Taheri, Adil M. Bagirov and Napsu Karmitsa
The Bundle Enrichment Method (BEM-DC) is introduced for solving nonsmooth difference of convex (DC) programming problems. The novelty of the method consists of the dynamic management of the bundle. More specifically, a DC model, being the difference of t...
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Enrique Castillo
This work is a short review of the state of the art aiming to contribute to the use, disclosure, and propagation of systems of linear inequalities in real life, teaching, and research. It shows that the algebraic structure of their solutions consists of ...
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Walter Gil-González, Oscar Danilo Montoya and César Leonardo Trujillo-Rodríguez
This research addresses the efficient integration and sizing of flexible alternating current transmission systems (FACTS) in electrical distribution networks via a convex optimization approach. The exact mixed-integer nonlinear programming (MINLP) model ...
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Pedro Afonso Fernandes
Space syntax is a set of theories and techniques for analysing urban settlements and buildings. Here, we propose a new approach to perform syntactic analyses that requires only the declaration in a computer program of the connections between axial lines ...
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Sergey Ryumin, Vladimir Tryaskin and Kirill Plotnikov
The article deals with some issues of geometric modeling of ship hull structures in specialized CAD system. Stiffened shells and platings should be idealized as a set of elementary plate panels for the purpose of structural design using local strength an...
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Daniela Patricia Bohórquez-Álvarez, Karen Dayanna Niño-Perdomo and Oscar Danilo Montoya
This paper addresses the problem concerning the efficient minimization of power losses in asymmetric distribution grids from the perspective of convex optimization. This research?s main objective is to propose an approximation optimization model to reduc...
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Masaaki Nagahara, Yu Iwai and Noboru Sebe
In this paper, we propose an efficient numerical computation method of reduced-order controller design for linear time-invariant systems. The design problem is described by linear matrix inequalities (LMIs) with a rank constraint on a structured matrix, ...
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