Principles of Optimization Theory

Author: C. R. Bector
Publisher: Alpha Science International, Limited
ISBN: UOM:39015060898023
Release Date: 2005
Genre: Mathematics

An account of the fundamental principles of optimization theory blended in a judicious way with current research. It helps the reader to probe into such advanced topics like Non-smooth Optimization and Conjugate Duality.

Optimization Theory with Applications

Author: Donald A. Pierre
Publisher: Courier Corporation
ISBN: 9780486136950
Release Date: 2012-07-12
Genre: Mathematics

Broad-spectrum approach to important topic. Explores the classic theory of minima and maxima, classical calculus of variations, simplex technique and linear programming, optimality and dynamic programming, more. 1969 edition.

Optimization of Tax Sovereignty and Free Movement

Author: Sjoerd Douma
Publisher: IBFD
ISBN: 9789087221126
Release Date: 2011
Genre: Direct taxation

The book argues that the notions of tax sovereignty and EU free movement should be regarded as two fundamentally equal principles. The conflict between these two principles is resolved by establishing, in individual cases, the optimum position between two extremes: a general unrestricted freedom of action by states versus a prohibition of any obstacle to the free movement of goods, persons, services and capital. The process of reconciliation of these competing principles is structured by the theoretical optimization model developed in the present study. This model is external to the present case law. The application of the theoretical optimization model to the ECJ’s case law in the area of direct taxation reveals that this case law is largely in line with the model. It is certainly not as internally inconsistent as claimed in some of the tax literature. Many jigsaw pieces seem to fit after all if the case law is assessed in the light of the model. A number of future developments could be expected on the basis of the model and extensive case law analysis. The most important of these is that, in some cases, truly non-discriminatory tax measures should give rise to a prima facie restriction on free movement.

Optimization Theory

Author: F. Giannessi
Publisher: Springer Science & Business Media
ISBN: 140200009X
Release Date: 2001-10-31
Genre: Computers

This volume contains refereed papers based on lectures presented at the XIV International Conference on Mathematical Programming, held at Mátraháza, Hungary. The main purpose of the conference was to review and discuss recent advances and promising research trends concerning theory, algorithms, and applications in the fields of optimization theory, and related areas such as convex analysis, complementarity systems, and variational inequalities. Audience: Researchers in operations research, economics, mathematics, physics, and engineering.

A Theory of Constitutional Rights

Author: Robert Alexy
Publisher: Oxford University Press, USA
ISBN: 9780199584239
Release Date: 2009-12-10
Genre: Law

This classic work of constitutional theory analyzes the general structure of constitutional rights and their judicial application. It deals with a wide range of problems common to all systems of constitutional rights review - from balancing rights to deciding the limits of their scope.

Relaxation in Optimization Theory and Variational Calculus

Author: Tomas Roubicek
Publisher: Walter de Gruyter
ISBN: 9783110811919
Release Date: 1997-01-01
Genre: Mathematics

The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Please submit book proposals to Jürgen Appell.

Classical Control Using H Infinity Methods

Author: J. William Helton
Publisher: SIAM
ISBN: 1611971365
Release Date: 1998-01-01
Genre: H [infinity symbol] control

This versatile book teaches control system design using Hînfty techniques that are simple and compatible with classical control, yet powerful enough to quickly allow the solution of physically meaningful problems. The authors begin by teaching how to formulate control system design problems as mathematical optimization problems and then discuss the theory and numerics for these optimization problems. Their approach is simple and direct, and since the book is modular, the parts on theory can be read independently of the design parts and vice versa, allowing readers to enjoy the book on many levels. The development of Hînfty engineering was one of the main accomplishments of control in the 1980s. However, until now, there has not been a publication suitable for teaching the topic at the undergraduate level. This book fills that gap by teaching control system design using Hînfty techniques at a level within reach of the typical engineering and mathematics student. It also contains a readable account of recent developments and mathematical connections. The authors treat control design problems in a physically correct way. They present a small set of specific rules that the reader can apply to convert a particular design problem to the fundamental optimization problem of Hînfty control. This precisely formulated mathematics problem can then be solved on a computer. The book introduces the control software package OPTDesign, which allows the reader to easily reproduce the calculations done in the solved examples and even try variations on them. The description of how to convert an engineering problem to a form suitable for CAD is simpler than in other books.

A First Course in Optimization Theory

Author: Rangarajan K. Sundaram
Publisher: Cambridge University Press
ISBN: 0521497701
Release Date: 1996-06-13
Genre: Business & Economics

Divided into three separate parts, this book introduces students to optimization theory and its use in economics and allied disciplines. A preliminary chapter and three appendices are designed to keep the book mathematically self-contained.

Caribbean Integration Law

Author: David S. Berry
Publisher: OUP Oxford
ISBN: 9780191649165
Release Date: 2014-02-27
Genre: Law

Caribbean Integration Law offers a comprehensive legal analysis of the current treaties and rules governing the two main regional organisations in the Caribbean, the Caribbean Community (CARICOM) and the Organisation of Eastern Caribbean States (OECS). Both organisations are operating under new treaties, the Revised Treaty of Chaguaramas and the Revised Treaty of Basseterre, respectively, which created the CARICOM Single Market and Economy, and the OECS Economic Union. The single market and economic union were built upon principles of free movement of goods, labour, and capital, and a common external tariff. This book reviews the foundations of Caribbean regional integration, the institutional frameworks of the two regional organisations, and fleshes out the scope and context of the legal systems created by the treaties. It also reviews the dispute settlement mechanisms under both treaties, including the increasingly active role of the Caribbean Court of Justice, which allows persons to enforce their treaty rights directly before the Court. The book offers selective comparisons to the current rules governing the European Union, and integrates crucial insights from the field of public international law, including the law of treaties and international institutional law.

Vector Optimization

Author: Guang-ya Chen
Publisher: Springer Science & Business Media
ISBN: 9783540284451
Release Date: 2006-03-30
Genre: Business & Economics

Vector optimization model has found many important applications in decision making problems such as those in economics theory, management science, and engineering design (since the introduction of the Pareto optimal solu tion in 1896). Typical examples of vector optimization model include maxi mization/minimization of the objective pairs (time, cost), (benefit, cost), and (mean, variance) etc. Many practical equilibrium problems can be formulated as variational in equality problems, rather than optimization problems, unless further assump tions are imposed. The vector variational inequality was introduced by Gi- nessi (1980). Extensive research on its relations with vector optimization, the existence of a solution and duality theory has been pursued. The fundamental idea of the Ekeland's variational principle is to assign an optimization problem a slightly perturbed one having a unique solution which is at the same time an approximate solution of the original problem. This principle has been an important tool for nonlinear analysis and optimization theory. Along with the development of vector optimization and set-valued optimization, the vector variational principle introduced by Nemeth (1980) has been an interesting topic in the last decade. Fan Ky's minimax theorems and minimax inequalities for real-valued func tions have played a key role in optimization theory, game theory and math ematical economics. An extension was proposed to vector payoffs was intro duced by Blackwell (1955).

Optimization Theory and Related Topics

Author: Simeon Reich
Publisher: American Mathematical Soc.
ISBN: 9780821869086
Release Date: 2012
Genre: Mathematics

This volume contains the proceedings of the workshop on Optimization Theory and Related Topics, held in memory of Dan Butnariu, from January 11-14, 2010, in Haifa, Israel. An active researcher in various fields of applied mathematics, Butnariu published over 80 papers. His extensive bibliography is included in this volume. The articles in this volume cover many different areas of Optimization Theory and its applications: maximal monotone operators, sensitivity estimates via Lyapunov functions, inverse Newton transforms, infinite-horizon Pontryagin principles, singular optimal control problems with state delays, descent methods for mixed variational inequalities, games on MV-algebras, ergodic convergence in subgradient optimization, applications to economics and technology planning, the exact penalty property in constrained optimization, nonsmooth inverse problems, Bregman distances, retraction methods in Banach spaces, and iterative methods for solving equilibrium problems. This volume will be of interest to both graduate students and research mathematicians.

Algorithmic Principles of Mathematical Programming

Author: Ulrich Faigle
Publisher: Springer Science & Business Media
ISBN: 9789401598965
Release Date: 2013-04-17
Genre: Mathematics

Algorithmic Principles of Mathematical Programming investigates the mathematical structures and principles underlying the design of efficient algorithms for optimization problems. Recent advances in algorithmic theory have shown that the traditionally separate areas of discrete optimization, linear programming, and nonlinear optimization are closely linked. This book offers a comprehensive introduction to the whole subject and leads the reader to the frontiers of current research. The prerequisites to use the book are very elementary. All the tools from numerical linear algebra and calculus are fully reviewed and developed. Rather than attempting to be encyclopedic, the book illustrates the important basic techniques with typical problems. The focus is on efficient algorithms with respect to practical usefulness. Algorithmic complexity theory is presented with the goal of helping the reader understand the concepts without having to become a theoretical specialist. Further theory is outlined and supplemented with pointers to the relevant literature.