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Global optimization
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== References == {{refbegin}} Deterministic global optimization: * R. Horst, H. Tuy, [https://books.google.com/books?id=Pe_1CAAAQBAJ&dq=%22Global+Optimization%3A+Deterministic+Approaches%22&pg=PA2 Global Optimization: Deterministic Approaches], Springer, 1996. * R. Horst, [[Panos M. Pardalos|P.M. Pardalos]] and N.V. Thoai, [https://books.google.com/books?id=dbu02-1JbLIC&dq=%22Introduction+to+Global+Optimization%22&pg=PR11 Introduction to Global Optimization], Second Edition. Kluwer Academic Publishers, 2000. *[https://www.mat.univie.ac.at/~neum/ms/glopt03.pdf A.Neumaier, Complete Search in Continuous Global Optimization and Constraint Satisfaction, pp. 271β369 in: Acta Numerica 2004 (A. Iserles, ed.), Cambridge University Press 2004.] * M. Mongeau, H. Karsenty, V. RouzΓ© and J.-B. Hiriart-Urruty, [https://www.tandfonline.com/doi/abs/10.1080/10556780008805783 Comparison of public-domain software for black box global optimization]. Optimization Methods & Software 13(3), pp. 203β226, 2000. * J.D. PintΓ©r, [https://books.google.com/books?id=uv7lBwAAQBAJ&dq=%22+Continuous+and+Lipschitz+Optimization%22&pg=PR18 Global Optimization in Action - Continuous and Lipschitz Optimization: Algorithms, Implementations and Applications]. Kluwer Academic Publishers, Dordrecht, 1996. Now distributed by Springer Science and Business Media, New York. This book also discusses stochastic global optimization methods. * L. Jaulin, M. Kieffer, O. Didrit, E. Walter (2001). Applied Interval Analysis. Berlin: Springer. * E.R. Hansen (1992), Global Optimization using Interval Analysis, Marcel Dekker, New York. For simulated annealing: * {{cite journal | last1=Kirkpatrick | first1=S. | last2=Gelatt | first2=C. D. | last3=Vecchi | first3=M. P. | title=Optimization by Simulated Annealing | journal=Science | publisher=American Association for the Advancement of Science (AAAS) | volume=220 | issue=4598 | date=1983-05-13 | issn=0036-8075 | doi=10.1126/science.220.4598.671 | pmid=17813860 | pages=671β680| bibcode=1983Sci...220..671K | s2cid=205939 }} For reactive search optimization: * [[Roberto Battiti]], M. Brunato and F. Mascia, Reactive Search and Intelligent Optimization, Operations Research/Computer Science Interfaces Series, Vol. 45, Springer, November 2008. {{ISBN|978-0-387-09623-0}} For stochastic methods: * [[Anatoly Zhigljavsky|A. Zhigljavsky]]. Theory of Global Random Search. Mathematics and its applications. Kluwer Academic Publishers. 1991. * {{cite journal | last=Hamacher | first=K | title=Adaptation in stochastic tunneling global optimization of complex potential energy landscapes | journal=Europhysics Letters | publisher=IOP Publishing | volume=74 | issue=6 | year=2006 | issn=0295-5075 | doi=10.1209/epl/i2006-10058-0 | pages=944β950| bibcode=2006EL.....74..944H | s2cid=250761754 }} * {{cite journal | last1=Hamacher | first1=K. | last2=Wenzel | first2=W. | title=Scaling behavior of stochastic minimization algorithms in a perfect funnel landscape | journal=Physical Review E | volume=59 | issue=1 | date=1999-01-01 | issn=1063-651X | doi=10.1103/physreve.59.938 | pages=938β941|arxiv=physics/9810035| bibcode=1999PhRvE..59..938H | s2cid=119096368 }} * {{cite journal | last1=Wenzel | first1=W. | last2=Hamacher | first2=K. | title=Stochastic Tunneling Approach for Global Minimization of Complex Potential Energy Landscapes | journal=Physical Review Letters | publisher=American Physical Society (APS) | volume=82 | issue=15 | date=1999-04-12 | issn=0031-9007 | doi=10.1103/physrevlett.82.3003 | pages=3003β3007|arxiv=physics/9903008| bibcode=1999PhRvL..82.3003W | s2cid=5113626 }} For parallel tempering: * {{cite journal | last=Hansmann | first=Ulrich H.E. | title=Parallel tempering algorithm for conformational studies of biological molecules | journal=Chemical Physics Letters | publisher=Elsevier BV | volume=281 | issue=1β3 | year=1997 | issn=0009-2614 | doi=10.1016/s0009-2614(97)01198-6 | arxiv=physics/9710041 | pages=140β150| bibcode=1997CPL...281..140H | s2cid=14137470 }} For continuation methods: * Zhijun Wu. [https://www.osti.gov/servlets/purl/395617 The effective energy transformation scheme as a special continuation approach to global optimization with application to molecular conformation]. Technical Report, Argonne National Lab., IL (United States), November 1996. For general considerations on the dimensionality of the domain of definition of the objective function: * {{cite journal | last=Hamacher | first=Kay | title=On stochastic global optimization of one-dimensional functions | journal=Physica A: Statistical Mechanics and Its Applications | publisher=Elsevier BV | volume=354 | year=2005 | issn=0378-4371 | doi=10.1016/j.physa.2005.02.028 | pages=547β557| bibcode=2005PhyA..354..547H }} For strategies allowing one to compare deterministic and stochastic global optimization methods {{refend}}
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