001471683 000__ 04260cam\\22006017a\4500
001471683 001__ 1471683
001471683 003__ OCoLC
001471683 005__ 20230908003309.0
001471683 006__ m\\\\\o\\d\\\\\\\\
001471683 007__ cr\un\nnnunnun
001471683 008__ 230714s2023\\\\sz\\\\\\ob\\\\001\0\eng\d
001471683 020__ $$a9783031295515$$q(electronic bk.)
001471683 020__ $$a303129551X$$q(electronic bk.)
001471683 020__ $$z3031295501
001471683 020__ $$z9783031295508
001471683 0247_ $$a10.1007/978-3-031-29551-5$$2doi
001471683 035__ $$aSP(OCoLC)1390190066
001471683 040__ $$aYDX$$beng$$cYDX$$dGW5XE
001471683 049__ $$aISEA
001471683 050_4 $$aQA331.5
001471683 08204 $$a515/.882$$223/eng/20230720
001471683 1001_ $$aCorrea, R.$$q(Rafael),$$d1947-
001471683 24510 $$aFundamentals of convex analysis and optimization :$$ba supremum function approach /$$cRafael Correa, Abderrahim Hantoute, Marco A. López.
001471683 260__ $$aCham :$$bSpringer,$$c2023.
001471683 300__ $$a1 online resource.
001471683 4901_ $$aSpringer series in operations research and financial engineering
001471683 504__ $$aIncludes bibliographical references and index.
001471683 5050_ $$a1. Introduction -- 2. Preliminaries -- 3. Fenchel-Moreau-Rockafellar theory -- 4. Fundamental topics in convex analysis -- 5. Supremum of convex functions -- 6. The supremum in specific contexts -- 7. Other subdifferential calculus rules -- 8. Miscellaneous -- 9. Exercises - Solutions -- Index -- Glossary of Notations -- Bibliography.
001471683 506__ $$aAccess limited to authorized users.
001471683 520__ $$aThis book aims at an innovative approach within the framework of convex analysis and optimization, based on an in-depth study of the behavior and properties of the supremum of families of convex functions. It presents an original and systematic treatment of convex analysis, covering standard results and improved calculus rules in subdifferential analysis. The tools supplied in the text allow a direct approach to the mathematical foundations of convex optimization, in particular to optimality and duality theory. Other applications in the book concern convexification processes in optimization, non-convex integration of the Fenchel subdifferential, variational characterizations of convexity, and the study of Chebychev sets. At the same time, the underlying geometrical meaning of all the involved concepts and operations is highlighted and duly emphasized. A notable feature of the book is its unifying methodology, as well as the novelty of providing an alternative or complementary view to the traditional one in which the discipline is presented to students and researchers. This textbook can be used for courses on optimization, convex and variational analysis, addressed to graduate and post-graduate students of mathematics, and also students of economics and engineering. It is also oriented to provide specific background for courses on optimal control, data science, operations research, economics (game theory), etc. The book represents a challenging and motivating development for those experts in functional analysis, convex geometry, and any kind of researchers who may be interested in applications of their work.
001471683 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed July 20, 2023).
001471683 650_0 $$aConvex functions.
001471683 650_0 $$aConvex sets.
001471683 650_0 $$aMathematical optimization.
001471683 655_0 $$aElectronic books.
001471683 7001_ $$aHantoute, Abderrahim.
001471683 7001_ $$aLópez, Marco A.
001471683 77608 $$iPrint version: $$z3031295501$$z9783031295508$$w(OCoLC)1371402586
001471683 830_0 $$aSpringer series in operations research.
001471683 852__ $$bebk
001471683 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-29551-5$$zOnline Access$$91397441.1
001471683 909CO $$ooai:library.usi.edu:1471683$$pGLOBAL_SET
001471683 980__ $$aBIB
001471683 980__ $$aEBOOK
001471683 982__ $$aEbook
001471683 983__ $$aOnline
001471683 994__ $$a92$$bISE