{"product_id":"deterministic-global-optimization-geometric-branch-and-bound-methods","title":"Deterministic Global Optimization: Geometric Branch-and-bound Methods","description":"\u003cp\u003eIn this review of Deterministic Global Optimization: Geometric Branch-and-bound Methods and their Applications the author presents a focused monograph aimed at researchers and advanced practitioners in mathematical optimization. The single biggest reason to read this work is its clear treatment of \u003cstrong\u003egeometric branch-and-bound\u003c\/strong\u003e techniques and their role across Lipschitzian optimization, d.c. programming and interval analysis, making it a useful theoretical reference rather than a light textbook for beginners.\u003c\/p\u003e\n\u003ch2\u003eKey Features\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eCore method coverage:\u003c\/strong\u003e Detailed exposition of geometric branch-and-bound methods clarifies how these algorithms operate and where they apply.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eConvergence analysis:\u003c\/strong\u003e Introduces a new concept for the rate of convergence, which helps readers assess algorithmic performance on nonconvex problems.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eBounding operations evaluated:\u003c\/strong\u003e Reviews several bounding operations from the literature and compares them both theoretically and empirically for practical insight.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eAlgorithm extensions:\u003c\/strong\u003e Considers extensions of a prototype algorithm to multicriteria global optimization and mixed combinatorial problems, illustrating broader applicability.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eNumerical examples:\u003c\/strong\u003e Uses facility location problems and a circle detection application in image processing to support the theoretical development with concrete cases.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eWho It's For\u003c\/h2\u003e\n\u003cp\u003eThis monograph is best suited for graduate students, researchers and engineers who already have a grounding in optimization theory and want a concentrated resource on \u003cstrong\u003edeterministic global optimization\u003c\/strong\u003e techniques. Specialists working on Lipschitzian optimization, d.c. programming or interval analysis will find the coverage directly relevant to algorithm design and analysis.\u003c\/p\u003e\n\u003cp\u003eReaders seeking an introductory text or a broad survey of optimization for casual study should look elsewhere, as the presentation is compact and assumes familiarity with core mathematical concepts and notation rather than offering tutorial-level exposition.\u003c\/p\u003e\n\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eAuthoritative focus on geometric branch-and-bound methods provides a tight, useful reference for specialists.\u003c\/li\u003e\n\u003cli\u003eThe new rate of convergence concept and comparisons of bounding operations add analytical value for researchers.\u003c\/li\u003e\n\u003cli\u003eAlgorithmic extensions and numerical examples connect theory to applied problems such as facility location and circle detection.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eNot intended as an introductory textbook; readers without prior optimization background may struggle with the material.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eSpecifications\u003c\/h2\u003e\n\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003eDeterministic Global Optimization: Geometric Branch-and-bound Methods and their Applications\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eSeries\u003c\/td\u003e\n\u003ctd\u003eNonconvex Optimization and Its Applications, 63\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePrimary topic\u003c\/td\u003e\n\u003ctd\u003eGeometric branch-and-bound methods in deterministic global optimization\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eApplications discussed\u003c\/td\u003e\n\u003ctd\u003eLipschitzian optimization, d.c. programming, interval analysis, facility location, image circle detection\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eContent highlights\u003c\/td\u003e\n\u003ctd\u003eRate of convergence concept, bounding operations analysis, algorithm extensions\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eTarget audience\u003c\/td\u003e\n\u003ctd\u003eResearchers, graduate students, advanced practitioners\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n\u003ch2\u003eOur Verdict\u003c\/h2\u003e\n\u003cp\u003eThis monograph is a concise, technically rigorous resource that specialists in \u003cstrong\u003enonconvex optimization\u003c\/strong\u003e will appreciate for its focused analysis and practical examples. It is good value for those who need a compact reference on geometric branch-and-bound ideas and convergence behavior, but not for readers seeking an introductory or broad survey.\u003c\/p\u003e\n\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003eIs this book suitable for beginners?\u003c\/strong\u003e\u003cbr\u003eNo. It assumes prior knowledge of optimization theory and is aimed at graduate-level readers and researchers.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eDoes the book include practical examples?\u003c\/strong\u003e\u003cbr\u003eYes. Numerical examples include facility location problems and an application to circle detection in image processing.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eAre algorithmic extensions covered?\u003c\/strong\u003e\u003cbr\u003eYes. The text considers extensions to multicriteria global optimization and mixed combinatorial optimization problems.\u003c\/p\u003e","brand":"Daniel Scholz","offers":[{"title":"Default Title","offer_id":48226427994331,"sku":"1489995552","price":54.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0724\/1043\/1707\/files\/61H8OzRXGAL._SL1246.jpg?v=1770756332","url":"https:\/\/gearmusthave.com\/products\/deterministic-global-optimization-geometric-branch-and-bound-methods","provider":"GearMustHave","version":"1.0","type":"link"}