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Optimization Methods and Software Volume 24, 2009 - Issue 4-5: GLOBAL OPTIMIZATION
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Part 2 – Computations and software

GlobSol user guide

R. Baker Kearfott Department of Mathematics, University of Louisiana, Lafayette, LA, USACorrespondence[email protected]
Pages 687-708 | Received 30 Dec 2007, Published online: 07 Aug 2009

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Ralph Baker Kearfott, Jessie M. Castille & Gaurav Tyagi. (2014) Assessment of a non-adaptive deterministic global optimization algorithm for problems with low-dimensional non-convex subspaces. Optimization Methods and Software 29:2, pages 430-441.
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Ralph Baker Kearfott. (2011) Interval computations, rigour and non-rigour in deterministic continuous global optimization. Optimization Methods and Software 26:2, pages 259-279.
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Nikolaos V. Sahinidis. (2009) Global optimization. Optimization Methods and Software 24:4-5, pages 479-482.
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Articles from other publishers (25)

Victor Gergel, Vladimir Grishagin, Alexei Liniov & Sergey Shumikhin. 2021. Parallel Computing Technologies. Parallel Computing Technologies 413 419 .
Ralph Baker Kearfott. 2021. Black Box Optimization, Machine Learning, and No-Free Lunch Theorems. Black Box Optimization, Machine Learning, and No-Free Lunch Theorems 169 194 .
Nikolaos V. Sahinidis. (2019) Mixed-integer nonlinear programming 2018. Optimization and Engineering 20:2, pages 301-306.
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Alexey Solovyev, Marek S. Baranowski, Ian Briggs, Charles Jacobsen, Zvonimir Rakamarić & Ganesh Gopalakrishnan. (2018) Rigorous Estimation of Floating-Point Round-Off Errors with Symbolic Taylor Expansions. ACM Transactions on Programming Languages and Systems 41:1, pages 1-39.
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Aida Khajavirad & Nikolaos V. Sahinidis. (2018) A hybrid LP/NLP paradigm for global optimization relaxations. Mathematical Programming Computation 10:3, pages 383-421.
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David M. Gay. 2018. Numerical Analysis and Optimization. Numerical Analysis and Optimization 99 118 .
Jared T. Guilbeau, Md. Istiaq Hossain, Sam D. Karhbet, Ralph Baker Kearfott, Temitope S. Sanusi & Lihong Zhao. (2016) A review of computation of mathematically rigorous bounds on optima of linear programs. Journal of Global Optimization 68:3, pages 677-683.
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Yash Puranik & Nikolaos V. Sahinidis. (2017) Domain reduction techniques for global NLP and MINLP optimization. Constraints 22:3, pages 338-376.
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Alexander Sysoyev, Konstantin Barkalov, Vladislav Sovrasov, Ilya Lebedev & Victor Gergel. 2017. Supercomputing. Supercomputing 108 120 .
Alexander V. Sysoyev, Anna S. Zhbanova, Konstantin A. Barkalov & Victor P. Gergel. 2017. Parallel Computational Technologies. Parallel Computational Technologies 130 143 .
Alexander Sysoyev, Konstantin Barkalov, Vladislav Sovrasov, Ilya Lebedev & Victor Gergel. 2017. Parallel Computing Technologies. Parallel Computing Technologies 492 499 .
Angel F. Garcia Contreras & Martine Ceberio. (2016) Comparison of strategies for solving global optimization problems using speculation and interval computations. Comparison of strategies for solving global optimization problems using speculation and interval computations.
Ignacio Araya & Victor Reyes. (2015) Interval Branch-and-Bound algorithms for optimization and constraint satisfaction: a survey and prospects. Journal of Global Optimization 65:4, pages 837-866.
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Andrew P. Smith, Cesar A. Munoz, Anthony J. Narkawicz & Mantas Markevicius. (2015) A Rigorous Generic Branch and Bound Solver for Nonlinear Problems. A Rigorous Generic Branch and Bound Solver for Nonlinear Problems.
Jordan Ninin, Frédéric Messine & Pierre Hansen. (2014) A reliable affine relaxation method for global optimization. 4OR 13:3, pages 247-277.
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Ralph Baker Kearfott. (2014) Some observations on exclusion regions in branch and bound algorithms. Journal of Global Optimization 62:2, pages 229-241.
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Débora C. Faria, Sung Young Kim & Miguel J. Bagajewicz. (2015) Global Optimization of the Stage-wise Superstructure Model for Heat Exchanger Networks. Industrial & Engineering Chemistry Research 54:5, pages 1595-1604.
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Alexey Solovyev, Charles Jacobsen, Zvonimir Rakamarić & Ganesh Gopalakrishnan. 2015. FM 2015: Formal Methods. FM 2015: Formal Methods 532 550 .
Ralph Baker Kearfott. (2014) On rigorous upper bounds to a global optimum. Journal of Global Optimization 59:2-3, pages 459-476.
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Éric WalterÉric Walter. 2014. Numerical Methods and Optimization. Numerical Methods and Optimization 177 244 .
Ralph Baker Kearfott, Sowmya Muniswamy, Yi Wang, Xinyu Li & Qian Wang. (2012) On smooth reformulations and direct non-smooth computations for minimax problems. Journal of Global Optimization 57:4, pages 1091-1111.
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Ralph Baker Kearfott, Jessie Castille & Gaurav Tyagi. (2012) A general framework for convexity analysis in deterministic global optimization. Journal of Global Optimization 56:3, pages 765-785.
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Andreas Griewank. 2013. Computer Algebra in Scientific Computing. Computer Algebra in Scientific Computing 130 135 .
Ferenc Domes & Arnold Neumaier. (2011) Rigorous Enclosures of Ellipsoids and Directed Cholesky Factorizations. SIAM Journal on Matrix Analysis and Applications 32:1, pages 262-285.
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Nathalie Revol. 2010. Mathematical Software – ICMS 2010. Mathematical Software – ICMS 2010 337 341 .

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