Nonsmooth Optimization
Title | Nonsmooth Optimization PDF eBook |
Author | Marko M. Mäkelä |
Publisher | World Scientific Publishing Company Incorporated |
Pages | 254 |
Release | 1992-01-01 |
Genre | Mathematics |
ISBN | 9789810207731 |
Introduces various methods for nonsmooth optimization and applies these methods to solve discretized nonsmooth optimal control problems of systems governed by boundary value problems. Annotation copyrighted by Book News, Inc., Portland, OR
Nonsmooth optimization
Title | Nonsmooth optimization PDF eBook |
Author | Marko Makela |
Publisher | |
Pages | 254 |
Release | 1992 |
Genre | |
ISBN |
Nonsmooth Optimization: Analysis And Algorithms With Applications To Optimal Control
Title | Nonsmooth Optimization: Analysis And Algorithms With Applications To Optimal Control PDF eBook |
Author | Marko M Makela |
Publisher | World Scientific |
Pages | 268 |
Release | 1992-05-07 |
Genre | Mathematics |
ISBN | 9814522414 |
This book is a self-contained elementary study for nonsmooth analysis and optimization, and their use in solution of nonsmooth optimal control problems. The first part of the book is concerned with nonsmooth differential calculus containing necessary tools for nonsmooth optimization. The second part is devoted to the methods of nonsmooth optimization and their development. A proximal bundle method for nonsmooth nonconvex optimization subject to nonsmooth constraints is constructed. In the last part nonsmooth optimization is applied to problems arising from optimal control of systems covered by partial differential equations. Several practical problems, like process control and optimal shape design problems are considered.
Nonsmooth Optimization and Related Topics
Title | Nonsmooth Optimization and Related Topics PDF eBook |
Author | F.H. Clarke |
Publisher | Springer |
Pages | 489 |
Release | 2013-09-10 |
Genre | Science |
ISBN | 9781475760217 |
This volume contains the edited texts of the lect. nres presented at the International School of Mathematics devoted to Nonsmonth Optimization, held from . June 20 to July I, 1988. The site for the meeting was the "Ettore ~Iajorana" Centre for Sci entific Culture in Erice, Sicily. In the tradition of these meetings the main purpose was to give the state-of-the-art of an important and growing field of mathematics, and to stimulate interactions between finite-dimensional and infinite-dimensional op timization. The School was attended by approximately 80 people from 23 countries; in particular it was possible to have some distinguished lecturers from the SO\·iet Union, whose research institutions are here gratt•fnlly acknowledged. Besides the lectures, several seminars were delivered; a special s·~ssion was devoted to numerical computing aspects. The result was a broad exposure. gi ·. ring a deep knowledge of the present research tendencies in the field. We wish to express our appreciation to all the participants. Special mention 5hould be made of the Ettorc ;. . Iajorana Centre in Erice, which helped provide a stimulating and rewarding experience, and of its staff which was fundamental for the success of the meeting. j\,loreover, WP want to extend uur deep appreci
Nonsmooth Optimization
Title | Nonsmooth Optimization PDF eBook |
Author | Marko M. Mäkelä |
Publisher | |
Pages | 168 |
Release | 1990 |
Genre | Mathematical optimization |
ISBN | 9789516803077 |
Methods of Dynamic and Nonsmooth Optimization
Title | Methods of Dynamic and Nonsmooth Optimization PDF eBook |
Author | Frank H. Clarke |
Publisher | SIAM |
Pages | 95 |
Release | 1989-01-01 |
Genre | Mathematics |
ISBN | 9781611970142 |
Presents the elements of a unified approach to optimization based on "nonsmooth analysis," a term introduced in the 1970's by the author, who is a pioneer in the field. Based on a series of lectures given at a conference at Emory University in 1986, this volume presents its subjects in a self-contained and accessible manner. The topics treated here have been in an active state of development, and this work therefore incorporates more recent results than those presented in 1986. Focuses mainly on deterministic optimal control, the calculus of variations, and mathematical programming. In addition, it features a tutorial in nonsmooth analysis and geometry and demonstrates that the method of value function analysis via proximal normals is a powerful tool in the study of necessary conditions, sufficient conditions, controllability, and sensitivity analysis. The distinction between inductive and deductive methods, the use of Hamiltonians, the verification technique, and penalization are also emphasized.
Introduction to Nonsmooth Optimization
Title | Introduction to Nonsmooth Optimization PDF eBook |
Author | Adil Bagirov |
Publisher | Springer |
Pages | 377 |
Release | 2014-08-12 |
Genre | Business & Economics |
ISBN | 3319081144 |
This book is the first easy-to-read text on nonsmooth optimization (NSO, not necessarily differentiable optimization). Solving these kinds of problems plays a critical role in many industrial applications and real-world modeling systems, for example in the context of image denoising, optimal control, neural network training, data mining, economics and computational chemistry and physics. The book covers both the theory and the numerical methods used in NSO and provide an overview of different problems arising in the field. It is organized into three parts: 1. convex and nonconvex analysis and the theory of NSO; 2. test problems and practical applications; 3. a guide to NSO software. The book is ideal for anyone teaching or attending NSO courses. As an accessible introduction to the field, it is also well suited as an independent learning guide for practitioners already familiar with the basics of optimization.