000763473 000__ 04004cam\a2200481Ii\4500 000763473 001__ 763473 000763473 005__ 20230306142312.0 000763473 006__ m\\\\\o\\d\\\\\\\\ 000763473 007__ cr\cn\nnnunnun 000763473 008__ 161019s2016\\\\sz\\\\\\ob\\\\001\0\eng\d 000763473 019__ $$a961010630$$a962437053 000763473 020__ $$a9783319314846$$q(electronic book) 000763473 020__ $$a331931484X$$q(electronic book) 000763473 020__ $$z9783319314822 000763473 020__ $$z3319314823 000763473 035__ $$aSP(OCoLC)ocn960909627 000763473 035__ $$aSP(OCoLC)960909627$$z(OCoLC)961010630$$z(OCoLC)962437053 000763473 040__ $$aN$T$$beng$$erda$$epn$$cN$T$$dGW5XE$$dAZU$$dYDX$$dOCLCF$$dIDEBK 000763473 049__ $$aISEA 000763473 050_4 $$aQA331.5 000763473 08204 $$a519.7/6$$222 000763473 1001_ $$aTuy, Hoang. 000763473 24510 $$aConvex analysis and global optimization /$$cHoang Tuy. 000763473 250__ $$aSecond edition. 000763473 264_1 $$aSwitzerland :$$bSpringer,$$c2016. 000763473 300__ $$a1 online resource. 000763473 336__ $$atext$$btxt$$2rdacontent 000763473 337__ $$acomputer$$bc$$2rdamedia 000763473 338__ $$aonline resource$$bcr$$2rdacarrier 000763473 504__ $$aIncludes bibliographical references and index. 000763473 5050_ $$a1. Convex Sets -- 2. Convex Functions -- 3. Fixed Point and Equilibrium -- 4. DC Functions and DC Sets -- 5. Motivation and Overview -- 6. General Methods -- 7. DC Optimization Problems -- 8. Special Methods -- 9. Parametric Decomposition -- 10. Nonconvex Quadratic Programming -- 11. Monotonic Optimization -- 12. Polynomial Optimization -- 13. Optimization Under Equilibrium Constraints -- References -- Index. . 000763473 506__ $$aAccess limited to authorized users. 000763473 520__ $$aThis book presents state-of-the-art results and methodologies in modern global optimization, and has been a staple reference for researchers, engineers, advanced students (also in applied mathematics), and practitioners in various fields of engineering. The second edition has been brought up to date and continues to develop a coherent and rigorous theory of deterministic global optimization, highlighting the essential role of convex analysis. The text has been revised and expanded to meet the needs of research, education, and applications for many years to come. Updates for this new edition include: · Discussion of modern approaches to minimax, fixed point, and equilibrium theorems, and to nonconvex optimization; · Increased focus on dealing more efficiently with ill-posed problems of global optimization, particularly those with hard constraints; <p · Important discussions of decomposition methods for specially structured problems; · A complete revision of the chapter on nonconvex quadratic programming, in order to encompass the advances made in quadratic optimization since publication of the first edition. · Additionally, this new edition contains entirely new chapters devoted to monotonic optimization, polynomial optimization and optimization under equilibrium constraints, including bilevel programming, multiobjective programming, and optimization with variational inequality constraint. From the reviews of the first edition: The book gives a good review of the topic. ...The text is carefully constructed and well written, the exposition is clear. It leaves a remarkable impression of the concepts, tools and techniques in global optimization. It might also be used as a basis and guideline for lectures on this subject. Students as well as professionals will profitably read and use it.--Mathematical Methods of Operations Research, 49:3 (1999). 000763473 588__ $$aDescription based on print version record. 000763473 650_0 $$aConvex functions. 000763473 650_0 $$aConvex sets. 000763473 650_0 $$aMathematical optimization. 000763473 650_0 $$aNonlinear programming. 000763473 77608 $$iPrint version:$$aTuy, Hoang.$$tConvex analysis and global optimization.$$bSecond edition 2016.$$d[Place of publication not identified] : Springer, 2016$$z3319314823$$w(OCoLC)940933316 000763473 852__ $$bebk 000763473 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-31484-6$$zOnline Access$$91397441.1 000763473 909CO $$ooai:library.usi.edu:763473$$pGLOBAL_SET 000763473 980__ $$aEBOOK 000763473 980__ $$aBIB 000763473 982__ $$aEbook 000763473 983__ $$aOnline 000763473 994__ $$a92$$bISE