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Optimization Methods and Software Volume 27, 2012 - Issue 1
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Original Articles

Comparing different nonsmooth minimization methods and software

N. Karmitsa Department of Mathematics, University of Turku, FI-20014, Turku, FinlandCorrespondence[email protected]
,
A. Bagirov Centre for Informatics and Applied Optimization, School of Information Technology and Mathematical Sciences, University of Ballarat, University Drive, Mount Helen, PO Box 663, Ballarat, VIC 3353, Australia
&
M. M. Mäkelä Department of Mathematics, University of Turku, FI-20014, Turku, Finland
Pages 131-153 | Received 18 Nov 2009, Accepted 12 Sep 2010, Published online: 23 Nov 2010

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N. Karmitsa, M. Gaudioso & K. Joki. (2019) Diagonal bundle method with convex and concave updates for large-scale nonconvex and nonsmooth optimization. Optimization Methods and Software 34:2, pages 363-382.
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N. Keskar & A. Wächter. (2019) A limited-memory quasi-Newton algorithm for bound-constrained non-smooth optimization. Optimization Methods and Software 34:1, pages 150-171.
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A. Fuduli, M. Gaudioso & E.A. Nurminski. (2015) A splitting bundle approach for non-smooth non-convex minimization. Optimization 64:5, pages 1131-1151.
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N. Karmitsa & A.M. Bagirov. (2012) Limited memory discrete gradient bundle method for nonsmooth derivative-free optimization. Optimization 61:12, pages 1491-1509.
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Articles from other publishers (29)

Carl-Johan Thore. (2022) A worst-case approach to topology optimization for maximum stiffness under uncertain boundary displacement. Computers & Structures 259, pages 106696.
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Xiangrong Li. (2020) A limited memory BFGS subspace algorithm for bound constrained nonsmooth problems. Journal of Inequalities and Applications 2020:1.
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M. V. Dolgopolik. (2020) Exact penalty functions for optimal control problems II: Exact penalization of terminal and pointwise state constraints. Optimal Control Applications and Methods 41:3, pages 898-947.
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Matias Vikse, Harry A.J. Watson, Donghoi Kim, Paul I. Barton & Truls Gundersen. (2020) Optimization of a dual mixed refrigerant process using a nonsmooth approach. Energy 196, pages 116999.
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Johannes Milz & Michael Ulbrich. (2020) An Approximation Scheme for Distributionally Robust Nonlinear Optimization. SIAM Journal on Optimization 30:3, pages 1996-2025.
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Constantin Christof, Juan Carlos De los Reyes & Christian Meyer. (2020) A Nonsmooth Trust-Region Method for Locally Lipschitz Functions with Application to Optimization Problems Constrained by Variational Inequalities. SIAM Journal on Optimization 30:3, pages 2163-2196.
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Adil M. Bagirov, Napsu Karmitsa & Sona TaheriAdil M. Bagirov, Napsu Karmitsa & Sona Taheri. 2020. Partitional Clustering via Nonsmooth Optimization. Partitional Clustering via Nonsmooth Optimization 51 94 .
Napsu Karmitsa. 2020. Numerical Nonsmooth Optimization. Numerical Nonsmooth Optimization 167 199 .
Hermann Schichl & Hannes Fendl. 2020. Numerical Nonsmooth Optimization. Numerical Nonsmooth Optimization 117 165 .
Outi Montonen, Timo Ranta & Marko M. Mäkelä. (2019) Planning the Schedule for the Disposal of the Spent Nuclear Fuel with Interactive Multiobjective Optimization. Algorithms 12:12, pages 252.
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M.V. Dolgopolik & A.V. Fominyh. (2019) Exact penalty functions for optimal control problems I: Main theorem and free‐endpoint problems. Optimal Control Applications and Methods 40:6, pages 1018-1044.
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M. V. Dolgopolik. (2018) A convergence analysis of the method of codifferential descent. Computational Optimization and Applications 71:3, pages 879-913.
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Napsu Karmitsa, Adil M. Bagirov & Sona Taheri. (2018) Clustering in large data sets with the limited memory bundle method. Pattern Recognition 83, pages 245-259.
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Manlio Gaudioso, Giovanni Giallombardo & Giovanna Miglionico. (2018) Minimizing Piecewise-Concave Functions Over Polyhedra. Mathematics of Operations Research 43:2, pages 580-597.
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Harry A.J. Watson, Matias Vikse, Truls Gundersen & Paul I. Barton. (2018) Optimization of single mixed-refrigerant natural gas liquefaction processes described by nondifferentiable models. Energy 150, pages 860-876.
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A. Astorino, M. Gaudioso & E. Gorgone. (2017) A method for convex minimization based on translated first-order approximations. Numerical Algorithms 76:3, pages 745-760.
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Pingzhang Zhou, Jianbin Du & Zhenhua Lü. (2017) Topology optimization of freely vibrating continuum structures based on nonsmooth optimization. Structural and Multidisciplinary Optimization 56:3, pages 603-618.
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Gonglin Yuan, Zhou Sheng & Wenjie Liu. (2016) The Modified HZ Conjugate Gradient Algorithm for Large-Scale Nonsmooth Optimization. PLOS ONE 11:10, pages e0164289.
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Napsu Karmitsa. (2016) Testing Different Nonsmooth Formulations of the Lennard–Jones Potential in Atomic Clustering Problems. Journal of Optimization Theory and Applications 171:1, pages 316-335.
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Ludovic Nagesseur. (2015) A bundle method using two polyhedral approximations of the $$\varepsilon $$ ε -enlargement of a maximal monotone operator. Computational Optimization and Applications 64:1, pages 75-100.
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Gonglin Yuan, Zehong Meng & Yong Li. (2015) A Modified Hestenes and Stiefel Conjugate Gradient Algorithm for Large-Scale Nonsmooth Minimizations and Nonlinear Equations. Journal of Optimization Theory and Applications 168:1, pages 129-152.
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Napsu Karmitsa. 2016. Big Data Optimization: Recent Developments and Challenges. Big Data Optimization: Recent Developments and Challenges 419 436 .
Napsu Karmitsa. (2014) Diagonal Bundle Method for Nonsmooth Sparse Optimization. Journal of Optimization Theory and Applications 166:3, pages 889-905.
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Regina S. Burachik, Wilhelm P. Freire & C. Yalçın Kaya. (2013) Interior Epigraph Directions method for nonsmooth and nonconvex optimization via generalized augmented Lagrangian duality. Journal of Global Optimization 60:3, pages 501-529.
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Ali Hakan Tor, Adil Bagirov & Bülent Karasözen. (2014) Aggregate codifferential method for nonsmooth DC optimization. Journal of Computational and Applied Mathematics 259, pages 851-867.
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Valeri Sulimov & Pavel Shkapov. (2014) A local search with smoothing approximation in hybrid algorithms of diagnostics of hydromechanical systems. Science and Education of the Bauman MSTU 14:02.
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Qiang Long & Changzhi Wu. (2014) A hybrid method combining genetic algorithm and Hooke-Jeeves method for constrained global optimization. Journal of Industrial & Management Optimization 10:4, pages 1279-1296.
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Marko M. Mäkelä, Napsu Karmitsa & Adil Bagirov. 2013. Numerical Methods for Differential Equations, Optimization, and Technological Problems. Numerical Methods for Differential Equations, Optimization, and Technological Problems 275 304 .
Milija Zupanski. 2013. Data Assimilation for Atmospheric, Oceanic and Hydrologic Applications (Vol. II). Data Assimilation for Atmospheric, Oceanic and Hydrologic Applications (Vol. II) 465 488 .

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