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001438527 001__ 1438527
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001438527 019__ $$a1262370544
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001438527 020__ $$a9811618194$$q(electronic bk.)
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001438527 0247_ $$a10.1007/978-981-16-1819-2$$2doi
001438527 035__ $$aSP(OCoLC)1262193392
001438527 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dEBLCP$$dOCLCO$$dOCLCF$$dUKAHL$$dOCLCQ$$dCOM$$dOCLCO$$dOCLCQ
001438527 049__ $$aISEA
001438527 050_4 $$aQA402.5$$b.I53 2020
001438527 08204 $$a519.6$$223
001438527 1112_ $$aIndo-French Seminar on Optimization, Variational Analysis and Applications$$d(2020 :$$cVārānasi, India).
001438527 24510 $$aOptimization, variational analysis and applications :$$bIFSOVAA-2020, Varanasi, India, February 2-4 /$$cVivek Laha, Pierre Maréchal, S.K. Mishra, editors.
001438527 24630 $$aIFSOVAA-2020
001438527 264_1 $$aSingapore :$$bSpringer,$$c[2021]
001438527 264_4 $$c©2021
001438527 300__ $$a1 online resource :$$billustrations (some color)
001438527 336__ $$atext$$btxt$$2rdacontent
001438527 337__ $$acomputer$$bc$$2rdamedia
001438527 338__ $$aonline resource$$bcr$$2rdacarrier
001438527 4901_ $$aSpringer proceedings in mathematics and statistics ;$$vvolume 355
001438527 500__ $$aInternational conference proceedings.
001438527 5050_ $$6880-01$$aIntro -- Foreword -- Preface -- Contents -- Contributors -- 1 Linear and Pascoletti-Serafini Scalarizations in Unified Set Optimization -- 1.1 Introduction -- 1.2 Preliminaries -- 1.3 Scalarization -- 1.4 Linear Scalarizations -- 1.5 Pascoletti-Serafini Scalarization Scheme -- 1.6 Conclusions -- References -- 2 A Gradient-Free Method for Multi-objective Optimization Problem -- 2.1 Introduction -- 2.2 Notations and Preliminaries -- 2.3 Gradient-Free Method for MOP -- 2.3.1 Modified Nelder-Mead Algorithm -- 2.4 Numerical Illustrations and Performance Assessment -- 2.5 Performance Profile
001438527 5058_ $$a2.6 Conclusions -- References -- 3 The New Butterfly Relaxation Method for Mathematical Programs with Complementarity Constraints -- 3.1 Introduction -- 3.2 Preliminaries -- 3.2.1 Non-Linear Programming -- 3.2.2 Mathematical Programs with Complementarity Constraints -- 3.3 The Butterfly Relaxation Method -- 3.4 Theoretical Properties -- 3.4.1 Convergence -- 3.4.2 Existence of Lagrange Multipliers for the Relaxed Sub-Problems -- 3.4.3 Convergence of the Epsilon-Stationary Points -- 3.5 Numerical Results -- 3.5.1 On the Implementation of the Butterfly Relaxation
001438527 5058_ $$a3.5.2 Comparison of the Relaxation Methods -- 3.6 Concluding Remarks -- Appendix -- 3.7 Proof of a Technical Lemma -- References -- 4 Copositive Optimization and Its Applications in Graph Theory -- 4.1 Introduction -- 4.1.1 Quadratic Programming Problem with Binary and Continuous Variables -- 4.1.2 Fractional Quadratic Optimization Problem -- 4.1.3 More on Nonconvex Quadratic Programming Problems -- 4.1.4 Quadratic Optimization Problem and the Concept of Lifted Problem -- 4.1.5 Quadratic Optimization Problem and the Role of Special Matrix Classes
001438527 5058_ $$a6 Set Order Relations, Set Optimization, and Ekeland's Variational Principle -- 6.1 Introduction -- 6.2 Preliminaries -- 6.3 Set Order Relations -- 6.3.1 Set Order Relations in Terms of the Minkowski Difference -- 6.3.2 Set Order Relations with Respect to Variable Domination Structures -- 6.4 Nonlinear Scalarization Functions -- 6.4.1 Weighted Set Order Relations -- 6.5 Solution Concepts in Set Optimization -- 6.5.1 Solution Concepts in Set Optimization with Respect to Variable Domination Structures -- 6.6 Existence of Solutions -- 6.6.1 Generalized Semicontinuity for Set-Valued Maps
001438527 506__ $$aAccess limited to authorized users.
001438527 520__ $$aThis book includes selected papers presented at the Indo-French Seminar on Optimization, Variational Analysis and Applications (IFSOVAA-2020), held at the Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, India, from 24 February 2020. The book discusses current optimization problems and their solutions by using the powerful tool of variational analysis. Topics covered in this volume include set optimization, multiobjective optimization, mathematical programs with complementary, equilibrium, vanishing and switching constraints, copositive optimization, interval-valued optimization, sequential quadratic programming, bound-constrained optimization, variational inequalities, and more. Several applications in different branches of applied mathematics, engineering, economics, finance, and medical sciences have been included. Each chapter not only provides a detailed survey of the topic but also builds systematic theories and suitable algorithms to deduce the most recent findings in literature. This volume appeals to graduate students as well as researchers and practitioners in pure and applied mathematics and related fields that make use of variational analysis in solving optimization problems.
001438527 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed August 5, 2021).
001438527 650_0 $$aMathematical optimization$$vCongresses.
001438527 650_0 $$aCalculus of variations$$vCongresses.
001438527 650_6 $$aOptimisation mathématique$$vCongrès.
001438527 650_6 $$aCalcul des variations$$vCongrès.
001438527 655_7 $$aConference papers and proceedings.$$2fast$$0(OCoLC)fst01423772
001438527 655_7 $$aConference papers and proceedings.$$2lcgft
001438527 655_7 $$aActes de congrès.$$2rvmgf
001438527 655_0 $$aElectronic books.
001438527 7001_ $$aLaha, Vivek,$$eeditor.
001438527 7001_ $$aMaréchal, Pierre,$$eeditor.
001438527 7001_ $$aMishra, Shashi Kant,$$d1967-$$eeditor.
001438527 77608 $$iPrint version: $$z9811618186$$z9789811618185$$w(OCoLC)1241730882
001438527 830_0 $$aSpringer proceedings in mathematics & statistics ;$$vv. 355.
001438527 852__ $$bebk
001438527 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-16-1819-2$$zOnline Access$$91397441.1
001438527 909CO $$ooai:library.usi.edu:1438527$$pGLOBAL_SET
001438527 980__ $$aBIB
001438527 980__ $$aEBOOK
001438527 982__ $$aEbook
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