Topics in Nonconvex Optimization

Theory and Applications

DOWNLOAD NOW »

Author: Shashi K. Mishra

Publisher: Springer Science & Business Media

ISBN: 9781441996404

Category: Business & Economics

Page: 270

View: 3811

Nonconvex Optimization is a multi-disciplinary research field that deals with the characterization and computation of local/global minima/maxima of nonlinear, nonconvex, nonsmooth, discrete and continuous functions. Nonconvex optimization problems are frequently encountered in modeling real world systems for a very broad range of applications including engineering, mathematical economics, management science, financial engineering, and social science. This contributed volume consists of selected contributions from the Advanced Training Programme on Nonconvex Optimization and Its Applications held at Banaras Hindu University in March 2009. It aims to bring together new concepts, theoretical developments, and applications from these researchers. Both theoretical and applied articles are contained in this volume which adds to the state of the art research in this field. Topics in Nonconvex Optimization is suitable for advanced graduate students and researchers in this area.

Recent Advances in Nonsmooth Optimization

DOWNLOAD NOW »

Author: Dingzhu Du,Liqun Qi,Robert S. Womersley

Publisher: World Scientific

ISBN: 9789810222659

Category: Mathematics

Page: 472

View: 437

Nonsmooth optimization covers the minimization or maximization of functions which do not have the differentiability properties required by classical methods. The field of nonsmooth optimization is significant, not only because of the existence of nondifferentiable functions arising directly in applications, but also because several important methods for solving difficult smooth problems lead directly to the need to solve nonsmooth problems, which are either smaller in dimension or simpler in structure.This book contains twenty five papers written by forty six authors from twenty countries in five continents. It includes papers on theory, algorithms and applications for problems with first-order nondifferentiability (the usual sense of nonsmooth optimization) second-order nondifferentiability, nonsmooth equations, nonsmooth variational inequalities and other problems related to nonsmooth optimization.

Nonlinear Analysis and Variational Problems

In Honor of George Isac

DOWNLOAD NOW »

Author: Panos M. Pardalos,Themistocles Rassias,Akhtar A. Khan

Publisher: Springer Science & Business Media

ISBN: 1441901582

Category: Business & Economics

Page: 490

View: 467

The chapters in this volume, written by international experts from different fields of mathematics, are devoted to honoring George Isac, a renowned mathematician. These contributions focus on recent developments in complementarity theory, variational principles, stability theory of functional equations, nonsmooth optimization, and several other important topics at the forefront of nonlinear analysis and optimization.

Complementarity, Equilibrium, Efficiency and Economics

DOWNLOAD NOW »

Author: G. Isac,V.A. Bulavsky,Vyacheslav V. Kalashnikov

Publisher: Springer Science & Business Media

ISBN: 1475736231

Category: Mathematics

Page: 449

View: 5381

In complementarity theory, which is a relatively new domain of applied mathematics, several kinds of mathematical models and problems related to the study of equilibrium are considered from the point of view of physics as well as economics. In this book the authors have combined complementarity theory, equilibrium of economical systems, and efficiency in Pareto's sense. The authors discuss the use of complementarity theory in the study of equilibrium of economic systems and present results they have obtained. In addition the authors present several new results in complementarity theory and several numerical methods for solving complementarity problems associated with the study of economic equilibrium. The most important notions of Pareto efficiency are also presented. Audience: Researchers and graduate students interested in complementarity theory, in economics, in optimization, and in applied mathematics.

Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization

DOWNLOAD NOW »

Author: Qamrul Hasan Ansari,C. S. Lalitha,Monika Mehta

Publisher: CRC Press

ISBN: 1439868204

Category: Business & Economics

Page: 280

View: 9680

Until now, no book addressed convexity, monotonicity, and variational inequalities together. Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization covers all three topics, including new variational inequality problems defined by a bifunction. The first part of the book focuses on generalized convexity and generalized monotonicity. The authors investigate convexity and generalized convexity for both the differentiable and nondifferentiable case. For the nondifferentiable case, they introduce the concepts in terms of a bifunction and the Clarke subdifferential. The second part offers insight into variational inequalities and optimization problems in smooth as well as nonsmooth settings. The book discusses existence and uniqueness criteria for a variational inequality, the gap function associated with it, and numerical methods to solve it. It also examines characterizations of a solution set of an optimization problem and explores variational inequalities defined by a bifunction and set-valued version given in terms of the Clarke subdifferential. Integrating results on convexity, monotonicity, and variational inequalities into one unified source, this book deepens your understanding of various classes of problems, such as systems of nonlinear equations, optimization problems, complementarity problems, and fixed-point problems. The book shows how variational inequality theory not only serves as a tool for formulating a variety of equilibrium problems, but also provides algorithms for computational purposes.

Complementarity Problems

DOWNLOAD NOW »

Author: George Isac

Publisher: Berlin : Springer-Verlag

ISBN: 9780387562513

Category: Mathematics

Page: 297

View: 5942

The study of complementarity problems is now an interesting mathematical subject with many applications in optimization, game theory, stochastic optimal control, engineering, economics etc. This subject has deep relations with important domains of fundamental mathematics such as fixed point theory, ordered spaces, nonlinear analysis, topological degree, the study of variational inequalities and also with mathematical modeling and numerical analysis. Researchers and graduate students interested in mathematical modeling or nonlinear analysis will find here interesting and fascinating results.

Leray–Schauder Type Alternatives, Complementarity Problems and Variational Inequalities

DOWNLOAD NOW »

Author: George Isac

Publisher: Springer Science & Business Media

ISBN: 0387329005

Category: Science

Page: 352

View: 7301

Complementarity theory, a relatively new domain in applied mathematics, has deep connections with several aspects of fundamental mathematics and also has many applications in optimization, economics and engineering. The study of variational inequalities is another domain of applied mathematics with many applications to the study of certain problems with unilateral conditions. This book is the first to discuss complementarity theory and variational inequalities using Leray Schauder type alternatives. The ideas and method presented in this book may be considered as a starting point for new developments.

Statistical mechanics and fractals

DOWNLOAD NOW »

Author: R. L. Dobrushin,Shigeo Kusuoka

Publisher: Springer Verlag

ISBN: N.A

Category: Mathematics

Page: 98

View: 4341

The Nankai Institute of Mathematics held a special Year in Probability and Statistics during the academic year of 1988-1989. We had over 150 specialists, professors and graduate students, who participated in this Special Year from August 1988 to May 1989. More than twenty outstanding probabilists and statisticians from several countries were invited to give lectures and talks. This volume contains two lectures, one is written by Professor R. L. Dobrushin, and the other one by Professor S. Kusuoka.

Vector Bundles on Curves - New Directions

Lectures Given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.), Held in Cetraro (Cosenza), Italy, June 19-27, 1995

DOWNLOAD NOW »

Author: Shrawan Kumar,Gérard Laumon,Ulrich Stuhler,M.S. Narasimhan,Centro internazionale matematico estivo. Session,Centro internazionale matematico estivo,Lecture Notes in Mathematics Staff

Publisher: Springer Verlag

ISBN: N.A

Category: Mathematics

Page: 193

View: 4446

The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from insights coming from Theoretical Physics. It deals with: 1. The relation between conformal blocks and generalised theta functions (Lectures by S. Kumar) 2. Drinfeld Shtukas (Lectures by G. Laumon) 3. Drinfeld modules and Elliptic Sheaves (Lectures by U. Stuhler) The latter topics are useful in connection with Langlands programme for function fields. The contents of the book would give a comprehensive introduction of these topics to graduate students and researchers.

Books in Print

DOWNLOAD NOW »

Author: N.A

Publisher: N.A

ISBN: N.A

Category: American literature

Page: N.A

View: 433

Seminaire de Probabilites XXXIII

DOWNLOAD NOW »

Author: J. Azema,M. Emery,M. Ledoux,M. Yor

Publisher: Springer

ISBN: N.A

Category: Mathematics

Page: 419

View: 8102

Besides topics traditionally found in the Séminaire de Probabilités (Martingale Theory, Stochastic Processes, questions of general interest in Probability Theory), this volume XXXIII presents nine contributions to the study of filtrations up to isomorphism. It also contains three graduate courses: Dynamics of stochastic algorithms, by M. Benaim; Simulated annealing algorithms and Markov chains with rare transitions, by O. Catoni; and Concentration of measure and logarithmic Sobolev inequalities, by M. Ledoux. These up to date courses present the state of the art in three matters of interest to students in theoretical or applied Probability Theory, and to researchers as well.

Stability problems for stochastic models

proceedings of the international seminar, held in Suzdal, Russia, Jan. 27-Feb. 2, 1991

DOWNLOAD NOW »

Author: Vladimir Vi︠a︡cheslavovich Kalashnikov,V. M. Zolotarev

Publisher: Springer

ISBN: 9783540567448

Category: Mathematics

Page: 229

View: 8252

A new approach using comparative neuromorphology is taken in this study dealing with the organization of the efferent nuclei of cranial nerves. The authors use the cobalt labelling technique to identify neuron types and follow their presence, or absence, in different animal species. They suggest a new classification which is free from a number of controversies inherent in the classical classification. The results suggest that evolutionary changes in the center and in the innervated periphary parallel each other with increasingly complex function.

Difference Equations and Inequalities

Theory, Methods, and Applications

DOWNLOAD NOW »

Author: Ravi P. Agarwal

Publisher: CRC Press

ISBN: 9781420027020

Category: Mathematics

Page: 1000

View: 3544

A study of difference equations and inequalities. This second edition offers real-world examples and uses of difference equations in probability theory, queuing and statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, quanta in radiation, genetics, economics, psychology, sociology, and other disciplines. It features 200 new problems, 400 additional references, and a new chapter on the qualitative properties of solutions of neutral difference equations.