Introduction to Continuous Optimization

Langue : anglais

Edité par Springer, Palgrave Macmillan Apr 2021, 2021

3030687112 / 9783030687113

Série : Livre 163 sur 176 - Springer Optimization and Its Applications

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This item is printed on demand - Print on Demand Titel. Neuware -This self-contained monograph presents the reader with an authoritative view of Continuous Optimization, an area of mathematical optimization that has experienced major developments during the past 40 years. The book contains results which have not yet been covered in a systematic way as well as a summary of results on NR theory and methods developed over the last several decades. The readership is aimed to graduate students in applied mathematics, computer science, economics, as well as researchers working in optimization and those applying optimization methods for solving real life problems. Sufficient exercises throughout provide graduate students and instructors with practical utility in a two-semester course in Continuous Optimization.The topical coverage includes interior point methods, self-concordance theory and related complexity issues, first and second order methods with accelerated convergence, nonlinear rescaling (NR) theory and exterior point methods, just to mention a few. The book contains a unified approach to both interior and exterior point methods with emphasis of the crucial duality role. One of the main achievements of the book shows what makes the exterior point methods numerically attractive and why.The book is composed in five parts. The first part contains the basics of calculus, convex analysis, elements of unconstrained optimization, as well as classical results of linear and convex optimization. The second part contains the basics of self-concordance theory and interior point methods, including complexity results for LP, QP, and QP with quadratic constraint, semidefinite and conic programming. In the third part, the NR and Lagrangian transformation theories are considered and exterior point methods are described. Three important problems in finding equilibrium are considered in the fourth part. In the fifth and final part of the book, several important applications arising in economics, structural optimization, medicine, statistical learning theory, and more, are detailed. Numerical results, obtained by solving a number of real life and test problems, are also provided.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 560 pp. Englisch.…

N° de réf. du vendeur 9783030687113

Titre
Introduction to Continuous Optimization
Auteur
Roman A. Polyak
Éditeur
Springer, Palgrave Macmillan Apr 2021
Année de publication
2021
État de l'article
Neu
Reliure
Buch
Langue
anglais
ISBN à 10 chiffres
3030687112
ISBN à 13 chiffres
9783030687113
Poids de l'article
998 grammes
Dimensions
241x160x36 mm
Série
Livre 163 sur 176: Springer Optimization and Its Applications

buchversandmimpf2000

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