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Introduction to global optimization

Author: Reiner Horst; P M Pardalos; Nguyen V Thoai
Publisher: Dordrecht ; Boston : Kluwer Academic Publishers, ©1995.
Series: Nonconvex optimization and its applications, v. 3.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
Most of the existing books in optimization focus on the problem of computing locally optimal solutions. Global optimization is concerned with the computation and characterization of global optima of nonlinear functions. Global optimization problems are widespread in the mathematical modeling of real world systems for a very broad range of applications. During the past three decades many new theoretical, algorithmic,
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Reiner Horst; P M Pardalos; Nguyen V Thoai
ISBN: 0792335562 9780792335566 0792335570 9780792335573
OCLC Number: 32469487
Description: xii, 318 pages : illustrations ; 25 cm.
Contents: 1. Fundamental Results on Convexity and Optimization --
2. Quadratic Programming --
3. General Concave Minimization --
4. D.C. Programming --
5. Lipschitz Optimization --
6. Global Optimization on Networks.
Series Title: Nonconvex optimization and its applications, v. 3.
Responsibility: by Reiner Horst, Panos M. Pardalos, and Nguyen V. Thoai.

Abstract:

Global optimization concerns the computation and characterization of global optima of nonlinear functions.  Read more...

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`Each chapter contains illustrative examples and exercises. This excellent book is the first textbook on deterministic global optimization.' Mathematical Reviews, 96g:90001 `The authors provide Read more...

 
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Primary Entity<\/h3>\n
<http:\/\/www.worldcat.org\/oclc\/32469487<\/a>> # Introduction to global optimization<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Book<\/a>, schema:CreativeWork<\/a> ;\u00A0\u00A0\u00A0\nlibrary:oclcnum<\/a> \"32469487<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/id.loc.gov\/vocabulary\/countries\/ne<\/a>> ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Place\/dordrecht<\/a>> ; # Dordrecht<\/span>\n\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/dbpedia.org\/resource\/Boston<\/a>> ; # Boston<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Topic\/globale_optimierung<\/a>> ; # Globale Optimierung<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Topic\/nichtkonvexe_optimierung<\/a>> ; # Nichtkonvexe Optimierung<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/id.worldcat.org\/fast\/1038808<\/a>> ; # Nonlinear programming<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Topic\/optimisation_mathematique<\/a>> ; # Optimisation math\u00E9matique<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Topic\/optimaliseren<\/a>> ; # Optimaliseren<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/id.worldcat.org\/fast\/1012099<\/a>> ; # Mathematical optimization<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/dewey.info\/class\/519.3\/e20\/<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Topic\/programmation_non_lineaire<\/a>> ; # Programmation non lin\u00E9aire<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Thing\/game_theory<\/a>> ; # Game theory<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Topic\/niet_lineaire_programmering<\/a>> ; # Niet-lineaire programmering<\/span>\n\u00A0\u00A0\u00A0\nschema:bookFormat<\/a> bgn:PrintBook<\/a> ;\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/viaf.org\/viaf\/108896172<\/a>> ; # Panos M. Pardalos<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/viaf.org\/viaf\/114495764<\/a>> ; # Nguyen V. Thoai<\/span>\n\u00A0\u00A0\u00A0\nschema:copyrightYear<\/a> \"1995<\/span>\" ;\u00A0\u00A0\u00A0\nschema:creator<\/a> <http:\/\/viaf.org\/viaf\/66546065<\/a>> ; # Reiner Horst<\/span>\n\u00A0\u00A0\u00A0\nschema:datePublished<\/a> \"1995<\/span>\" ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"1. Fundamental Results on Convexity and Optimization -- 2. Quadratic Programming -- 3. General Concave Minimization -- 4. D.C. Programming -- 5. Lipschitz Optimization -- 6. Global Optimization on Networks.<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"Introduction to Global Optimization is a comprehensive textbook that covers the fundamentals in global optimization and presents much new material. The book includes algorithms, applications, and complexity results for quadratic programming, concave minimization, DC and Lipschitz problems, and nonlinear network flow problems. Each chapter contains illustrative examples and ends with carefully selected exercises which are designed to help the student to get a grasp of the material and enhance his knowledge of global optimization methods. The textbook is addressed not only to students of mathematical programming, but to all scientists in various disciplines who need global optimization methods to model and solve problems.<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"Most of the existing books in optimization focus on the problem of computing locally optimal solutions. Global optimization is concerned with the computation and characterization of global optima of nonlinear functions. Global optimization problems are widespread in the mathematical modeling of real world systems for a very broad range of applications. During the past three decades many new theoretical, algorithmic, and computational contributions helped to solve globally multiextreme problems arising from important practical applications.<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:exampleOfWork<\/a> <http:\/\/worldcat.org\/entity\/work\/id\/34145787<\/a>> ;\u00A0\u00A0\u00A0\nschema:inLanguage<\/a> \"en<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isPartOf<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Series\/nonconvex_optimization_and_its_applications<\/a>> ; # Nonconvex optimization and its applications ;<\/span>\n\u00A0\u00A0\u00A0\nschema:name<\/a> \"Introduction to global optimization<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:productID<\/a> \"32469487<\/span>\" ;\u00A0\u00A0\u00A0\nschema:publication<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/32469487#PublicationEvent\/dordrecht_boston_kluwer_academic_publishers_1995<\/a>> ;\u00A0\u00A0\u00A0\nschema:publisher<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Agent\/kluwer_academic_publishers<\/a>> ; # Kluwer Academic Publishers<\/span>\n\u00A0\u00A0\u00A0\nschema:workExample<\/a> <http:\/\/worldcat.org\/isbn\/9780792335566<\/a>> ;\u00A0\u00A0\u00A0\nschema:workExample<\/a> <http:\/\/worldcat.org\/isbn\/9780792335573<\/a>> ;\u00A0\u00A0\u00A0\numbel:isLike<\/a> <http:\/\/bnb.data.bl.uk\/id\/resource\/GB9563078<\/a>> ;\u00A0\u00A0\u00A0\nwdrs:describedby<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/32469487<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

Related Entities<\/h3>\n
<http:\/\/dbpedia.org\/resource\/Boston<\/a>> # Boston<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Boston<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/dewey.info\/class\/519.3\/e20\/<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Agent\/kluwer_academic_publishers<\/a>> # Kluwer Academic Publishers<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:Agent<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Kluwer Academic Publishers<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Place\/dordrecht<\/a>> # Dordrecht<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Dordrecht<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Series\/nonconvex_optimization_and_its_applications<\/a>> # Nonconvex optimization and its applications ;<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:PublicationSeries<\/a> ;\u00A0\u00A0\u00A0\nschema:hasPart<\/a> <http:\/\/www.worldcat.org\/oclc\/32469487<\/a>> ; # Introduction to global optimization<\/span>\n\u00A0\u00A0\u00A0\nschema:name<\/a> \"Nonconvex optimization and its applications ;<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Thing\/game_theory<\/a>> # Game theory<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Thing<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Game theory<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Topic\/globale_optimierung<\/a>> # Globale Optimierung<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Globale Optimierung<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Topic\/nichtkonvexe_optimierung<\/a>> # Nichtkonvexe Optimierung<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Nichtkonvexe Optimierung<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Topic\/niet_lineaire_programmering<\/a>> # Niet-lineaire programmering<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Niet-lineaire programmering<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Topic\/optimaliseren<\/a>> # Optimaliseren<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Optimaliseren<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Topic\/optimisation_mathematique<\/a>> # Optimisation math\u00E9matique<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Optimisation math\u00E9matique<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Topic\/programmation_non_lineaire<\/a>> # Programmation non lin\u00E9aire<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Programmation non lin\u00E9aire<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.loc.gov\/vocabulary\/countries\/ne<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\ndcterms:identifier<\/a> \"ne<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.worldcat.org\/fast\/1012099<\/a>> # Mathematical optimization<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Mathematical optimization<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.worldcat.org\/fast\/1038808<\/a>> # Nonlinear programming<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Nonlinear programming<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/108896172<\/a>> # Panos M. Pardalos<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:birthDate<\/a> \"1954<\/span>\" ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Pardalos<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Panos M.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"P. M.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Panos M. Pardalos<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/114495764<\/a>> # Nguyen V. Thoai<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:birthDate<\/a> \"1949<\/span>\" ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Thoai<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Nguyen V.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Nguyen V. Thoai<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/66546065<\/a>> # Reiner Horst<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Horst<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Reiner<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Reiner Horst<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/isbn\/9780792335566<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:ProductModel<\/a> ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"0792335562<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"9780792335566<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/isbn\/9780792335573<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:ProductModel<\/a> ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"0792335570<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"9780792335573<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.worldcat.org\/title\/-\/oclc\/32469487<\/a>>\u00A0\u00A0\u00A0\u00A0a \ngenont:InformationResource<\/a>, genont:ContentTypeGenericResource<\/a> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/www.worldcat.org\/oclc\/32469487<\/a>> ; # Introduction to global optimization<\/span>\n\u00A0\u00A0\u00A0\nschema:dateModified<\/a> \"2019-03-27<\/span>\" ;\u00A0\u00A0\u00A0\nvoid:inDataset<\/a> <http:\/\/purl.oclc.org\/dataset\/WorldCat<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.worldcat.org\/title\/-\/oclc\/32469487#PublicationEvent\/dordrecht_boston_kluwer_academic_publishers_1995<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:PublicationEvent<\/a> ;\u00A0\u00A0\u00A0\nschema:location<\/a> <http:\/\/dbpedia.org\/resource\/Boston<\/a>> ; # Boston<\/span>\n\u00A0\u00A0\u00A0\nschema:location<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Place\/dordrecht<\/a>> ; # Dordrecht<\/span>\n\u00A0\u00A0\u00A0\nschema:organizer<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/34145787#Agent\/kluwer_academic_publishers<\/a>> ; # Kluwer Academic Publishers<\/span>\n\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

Content-negotiable representations<\/p>\n