Convex Analysis And Global Optimization

Download Convex Analysis And Global Optimization ebook PDF or Read Online books in PDF, EPUB, and Mobi Format. Click Download or Read Online button to Convex Analysis And Global Optimization book pdf for free now.

Convex Analysis And Global Optimization

Author : Hoang Tuy
ISBN : 9783319314846
Genre : Mathematics
File Size : 60.83 MB
Format : PDF, Kindle
Download : 553
Read : 379

This 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; · 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)
Category: Mathematics
Convex Analysis and Global Optimization
Language: en
Pages: 505
Authors: Hoang Tuy
Categories: Mathematics
Type: BOOK - Published: 2016-10-17 - Publisher: Springer

This 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
Advances in Convex Analysis and Global Optimization
Language: en
Pages: 597
Authors: Nicolas Hadjisavvas, Panos M. Pardalos
Categories: Mathematics
Type: BOOK - Published: 2013-12-01 - Publisher: Springer Science & Business Media

There has been much recent progress in global optimization algo rithms for nonconvex continuous and discrete problems from both a theoretical and a practical perspective. Convex analysis plays a fun damental role in the analysis and development of global optimization algorithms. This is due essentially to the fact that virtually
Abstract Convexity and Global Optimization
Language: en
Pages: 493
Authors: Alexander M. Rubinov
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

Special tools are required for examining and solving optimization problems. The main tools in the study of local optimization are classical calculus and its modern generalizions which form nonsmooth analysis. The gradient and various kinds of generalized derivatives allow us to ac complish a local approximation of a given function
Convex Analysis and Optimization
Language: en
Pages: 560
Authors: Dimitri Bertsekas, Angelia Nedic, Asuman Ozdaglar
Categories: Mathematics
Type: BOOK - Published: 2003-03-01 - Publisher: Athena Scientific

A uniquely pedagogical, insightful, and rigorous treatment of the analytical/geometrical foundations of optimization. The book provides a comprehensive development of convexity theory, and its rich applications in optimization, including duality, minimax/saddle point theory, Lagrange multipliers, and Lagrangian relaxation/nondifferentiable optimization. It is an excellent supplement to several of our books: Convex
Multivalued Analysis and Nonlinear Programming Problems with Perturbations
Language: en
Pages: 210
Authors: B. Luderer, L. Minchenko, T. Satsura
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

The book presents a treatment of topological and differential properties of multivalued mappings and marginal functions. In addition, applications to sensitivity analysis of nonlinear programming problems under perturbations are studied. Properties of marginal functions associated with optimization problems are analyzed under quite general constraints defined by means of multivalued mappings.