Approximation, Optimization and Mathematical Economics

Approximation, Optimization and Mathematical Economics
Author: Marc Lassonde
Publisher: Springer Science & Business Media
Total Pages: 390
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642575927

The articles in this proceedings volume reflect the current trends in the theory of approximation, optimization and mathematical economics, and include numerous applications. The book will be of interest to researchers and graduate students involved in functional analysis, approximation theory, mathematical programming and optimization, game theory, mathematical finance and economics.

Mathematical Optimization and Economic Theory

Mathematical Optimization and Economic Theory
Author: Michael D. Intriligator
Publisher: SIAM
Total Pages: 515
Release: 2002-01-01
Genre: Mathematics
ISBN: 0898715113

A classic account of mathematical programming and control techniques and their applications to static and dynamic problems in economics.

Foundations of Mathematical Optimization

Foundations of Mathematical Optimization
Author: Diethard Ernst Pallaschke
Publisher: Springer Science & Business Media
Total Pages: 597
Release: 2013-03-14
Genre: Mathematics
ISBN: 9401715882

Many books on optimization consider only finite dimensional spaces. This volume is unique in its emphasis: the first three chapters develop optimization in spaces without linear structure, and the analog of convex analysis is constructed for this case. Many new results have been proved specially for this publication. In the following chapters optimization in infinite topological and normed vector spaces is considered. The novelty consists in using the drop property for weak well-posedness of linear problems in Banach spaces and in a unified approach (by means of the Dolecki approximation) to necessary conditions of optimality. The method of reduction of constraints for sufficient conditions of optimality is presented. The book contains an introduction to non-differentiable and vector optimization. Audience: This volume will be of interest to mathematicians, engineers, and economists working in mathematical optimization.

Optimization and Approximation

Optimization and Approximation
Author: Pablo Pedregal
Publisher: Springer
Total Pages: 261
Release: 2017-09-07
Genre: Mathematics
ISBN: 3319648438

This book provides a basic, initial resource, introducing science and engineering students to the field of optimization. It covers three main areas: mathematical programming, calculus of variations and optimal control, highlighting the ideas and concepts and offering insights into the importance of optimality conditions in each area. It also systematically presents affordable approximation methods. Exercises at various levels have been included to support the learning process.

Nonlinear Analysis

Nonlinear Analysis
Author: Qamrul Hasan Ansari
Publisher: Springer
Total Pages: 362
Release: 2014-06-05
Genre: Mathematics
ISBN: 8132218833

Many of our daily-life problems can be written in the form of an optimization problem. Therefore, solution methods are needed to solve such problems. Due to the complexity of the problems, it is not always easy to find the exact solution. However, approximate solutions can be found. The theory of the best approximation is applicable in a variety of problems arising in nonlinear functional analysis and optimization. This book highlights interesting aspects of nonlinear analysis and optimization together with many applications in the areas of physical and social sciences including engineering. It is immensely helpful for young graduates and researchers who are pursuing research in this field, as it provides abundant research resources for researchers and post-doctoral fellows. This will be a valuable addition to the library of anyone who works in the field of applied mathematics, economics and engineering.

Mathematical Analysis, Approximation Theory and Their Applications

Mathematical Analysis, Approximation Theory and Their Applications
Author: Themistocles M. Rassias
Publisher: Springer
Total Pages: 745
Release: 2016-06-03
Genre: Mathematics
ISBN: 3319312812

Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and applications in mathematical analysis and approximation theory. Specific topics include: approximation of functions by linear positive operators with applications to computer aided geometric design, numerical analysis, optimization theory, and solutions of differential equations. Recent and significant developments in approximation theory, special functions and q-calculus along with their applications to mathematics, engineering, and social sciences are discussed and analyzed. Each chapter enriches the understanding of current research problems and theories in pure and applied research.

Approximation and Optimization

Approximation and Optimization
Author: Ioannis C. Demetriou
Publisher: Springer
Total Pages: 244
Release: 2019-05-10
Genre: Mathematics
ISBN: 3030127672

This book focuses on the development of approximation-related algorithms and their relevant applications. Individual contributions are written by leading experts and reflect emerging directions and connections in data approximation and optimization. Chapters discuss state of the art topics with highly relevant applications throughout science, engineering, technology and social sciences. Academics, researchers, data science practitioners, business analysts, social sciences investigators and graduate students will find the number of illustrations, applications, and examples provided useful. This volume is based on the conference Approximation and Optimization: Algorithms, Complexity, and Applications, which was held in the National and Kapodistrian University of Athens, Greece, June 29–30, 2017. The mix of survey and research content includes topics in approximations to discrete noisy data; binary sequences; design of networks and energy systems; fuzzy control; large scale optimization; noisy data; data-dependent approximation; networked control systems; machine learning ; optimal design; no free lunch theorem; non-linearly constrained optimization; spectroscopy.

Dynamic Optimization, Second Edition

Dynamic Optimization, Second Edition
Author: Morton I. Kamien
Publisher: Courier Corporation
Total Pages: 402
Release: 2013-04-17
Genre: Mathematics
ISBN: 0486310280

Since its initial publication, this text has defined courses in dynamic optimization taught to economics and management science students. The two-part treatment covers the calculus of variations and optimal control. 1998 edition.

Approximation, Optimization and Mathematical Economics

Approximation, Optimization and Mathematical Economics
Author: Marc Lassonde
Publisher: Physica
Total Pages: 393
Release: 2001-01-26
Genre: Mathematics
ISBN: 9783790813630

The articles in this proceedings volume reflect the current trends in the theory of approximation, optimization and mathematical economics, and include numerous applications. The book will be of interest to researchers and graduate students involved in functional analysis, approximation theory, mathematical programming and optimization, game theory, mathematical finance and economics.

Approximation and Optimization of Discrete and Differential Inclusions

Approximation and Optimization of Discrete and Differential Inclusions
Author: Elimhan N Mahmudov
Publisher: Elsevier
Total Pages: 396
Release: 2011-08-25
Genre: Mathematics
ISBN: 0123884284

Optimal control theory has numerous applications in both science and engineering. This book presents basic concepts and principles of mathematical programming in terms of set-valued analysis and develops a comprehensive optimality theory of problems described by ordinary and partial differential inclusions. In addition to including well-recognized results of variational analysis and optimization, the book includes a number of new and important ones Includes practical examples