Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Monotone Processes Of Convex And Concave Type full books in PDF, epub, and Kindle. Read online Monotone Processes Of Convex And Concave Type ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : R. Tyrrell Rockafellar
Publisher : American Mathematical Soc.
ISBN 13 : 0821812777
Total Pages : 78 pages
Book Rating : 4.8/5 (218 download)
Download or read book Monotone Processes of Convex and Concave Type written by R. Tyrrell Rockafellar and published by American Mathematical Soc.. This book was released on 1967 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander D. Ioffe
Publisher : Springer
ISBN 13 : 3319642774
Total Pages : 509 pages
Book Rating : 4.3/5 (196 download)
Download or read book Variational Analysis of Regular Mappings written by Alexander D. Ioffe and published by Springer. This book was released on 2017-10-26 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph offers the first systematic account of (metric) regularity theory in variational analysis. It presents new developments alongside classical results and demonstrates the power of the theory through applications to various problems in analysis and optimization theory. The origins of metric regularity theory can be traced back to a series of fundamental ideas and results of nonlinear functional analysis and global analysis centered around problems of existence and stability of solutions of nonlinear equations. In variational analysis, regularity theory goes far beyond the classical setting and is also concerned with non-differentiable and multi-valued operators. The present volume explores all basic aspects of the theory, from the most general problems for mappings between metric spaces to those connected with fairly concrete and important classes of operators acting in Banach and finite dimensional spaces. Written by a leading expert in the field, the book covers new and powerful techniques, which have proven to be highly efficient even in classical settings, and outlines the theory’s predominantly quantitative character, leading to a variety of new and unexpected applications. Variational Analysis of Regular Mappings is aimed at graduate students and researchers in nonlinear and functional analysis, especially those working in areas close to optimization and optimal control, and will be suitable to anyone interested in applying new concepts and ideas to operations research, control engineering and numerical analysis.
Author : Alexander J. Zaslavski
Publisher : Springer Nature
ISBN 13 : 3030969738
Total Pages : 339 pages
Book Rating : 4.0/5 (39 download)
Download or read book Turnpike Phenomenon and Symmetric Optimization Problems written by Alexander J. Zaslavski and published by Springer Nature. This book was released on 2022-04-11 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a leading expert in turnpike phenomenon, this book is devoted to the study of symmetric optimization, variational and optimal control problems in infinite dimensional spaces and turnpike properties of their approximate solutions. The book presents a systematic and comprehensive study of general classes of problems in optimization, calculus of variations, and optimal control with symmetric structures from the viewpoint of the turnpike phenomenon. The author establishes generic existence and well-posedness results for optimization problems and individual (not generic) turnpike results for variational and optimal control problems. Rich in impressive theoretical results, the author presents applications to crystallography and discrete dispersive dynamical systems which have prototypes in economic growth theory. This book will be useful for researchers interested in optimal control, calculus of variations turnpike theory and their applications, such as mathematicians, mathematical economists, and researchers in crystallography, to name just a few.
Author : P.D. Panagiotopoulos
Publisher : Springer Science & Business Media
ISBN 13 : 1461251524
Total Pages : 420 pages
Book Rating : 4.4/5 (612 download)
Download or read book Inequality Problems in Mechanics and Applications written by P.D. Panagiotopoulos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a remarkably short time, the field of inequality problems has seen considerable development in mathematics and theoretical mechanics. Applied mechanics and the engineering sciences have also benefitted from these developments in that open problems have been treated and entirely new classes of problems have been formulated and solved. This book is an outgrowth of seven years of seminars and courses on inequality problems in mechanics for a variety of audiences in the Technical University of Aachen, the Aristotle University of Thessaloniki, the University of Hamburg and the Technical University of Milan. The book is intended for a variety of readers, mathematicians and engineers alike, as is detailed in the Guidelines for the Reader. It goes without saying that the work of G. Fichera, J. L. Lions, G. Maier, J. J. Moreau in originating and developing the theory of inequality problems has considerably influenced the present book. I also wish to acknowledge the helpful comments received from C. Bisbos, J. Haslinger, B. Kawohl, H. Matthies, H. O. May, D. Talaslidis and B. Werner. Credit is also due to G. Kyriakopoulos and T. Mandopoulou for their exceptionally diligent work in the preparation of the fmal figures. Many thanks are also due to T. Finnegan and J. Gateley for their friendly assistance from the linguistic standpoint. I would also like to thank my editors in Birkhiiuser Verlag for their cooperation, and all those who helped in the preparation of the manuscript.
Author : Andreas H Hamel
Publisher : Springer
ISBN 13 : 3662486709
Total Pages : 333 pages
Book Rating : 4.6/5 (624 download)
Download or read book Set Optimization and Applications - The State of the Art written by Andreas H Hamel and published by Springer. This book was released on 2015-11-21 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents five surveys with extensive bibliographies and six original contributions on set optimization and its applications in mathematical finance and game theory. The topics range from more conventional approaches that look for minimal/maximal elements with respect to vector orders or set relations, to the new complete-lattice approach that comprises a coherent solution concept for set optimization problems, along with existence results, duality theorems, optimality conditions, variational inequalities and theoretical foundations for algorithms. Modern approaches to scalarization methods can be found as well as a fundamental contribution to conditional analysis. The theory is tailor-made for financial applications, in particular risk evaluation and [super-]hedging for market models with transaction costs, but it also provides a refreshing new perspective on vector optimization. There is no comparable volume on the market, making the book an invaluable resource for researchers working in vector optimization and multi-criteria decision-making, mathematical finance and economics as well as [set-valued] variational analysis.
Author : Panos M. Pardalos
Publisher : Springer Science & Business Media
ISBN 13 : 146143498X
Total Pages : 898 pages
Book Rating : 4.4/5 (614 download)
Download or read book Nonlinear Analysis written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2012-06-02 with total page 898 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume will consist of about 40 articles written by some very influential mathematicians of our time and will expose the latest achievements in the broad area of nonlinear analysis and its various interdisciplinary applications.
Author : Bor-Luh Lin
Publisher : CRC Press
ISBN 13 : 1000942325
Total Pages : 340 pages
Book Rating : 4.0/5 (9 download)
Download or read book Nonlinear and Convex Analysis written by Bor-Luh Lin and published by CRC Press. This book was released on 2023-05-31 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains expanded versions of the talks given at the conference held in honour of professor Ky Fan in California in 1985, as well as papers on nonlinear and convex analysis as contributions to Ky Fan. It also includes a list of publications by Ky Fan.
Author : Vladimir F. Demyanov
Publisher : Springer Science & Business Media
ISBN 13 : 3662126036
Total Pages : 355 pages
Book Rating : 4.6/5 (621 download)
Download or read book Nondifferentiable Optimization: Motivations and Applications written by Vladimir F. Demyanov and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Institute for Applied Systems Analysis (IIASA) in Laxenburg, Austria, has been involved in research on nondifferentiable optimization since 1976. IIASA-based East-West cooperation in this field has been very productive, leading to many important theoretical, algorithmic and applied results. Nondifferentiable optimi zation has now become a recognized and rapidly developing branch of mathematical programming. To continue this tradition, and to review recent developments in this field, IIASA held a Workshop on Nondifferentiable Optimization in Sopron (Hungary) in September 1964. The aims of the Workshop were: 1. To discuss the state-of-the-art of nondifferentiable optimization (NDO), its origins and motivation; 2. To compare-various algorithms; 3. To evaluate existing mathematical approaches, their applications and potential; 4. To extend and deepen industrial and other applications of NDO. The following topics were considered in separate sessions: General motivation for research in NDO: nondifferentiability in applied problems, nondifferentiable mathematical models. Numerical methods for solving nondifferentiable optimization problems, numerical experiments, comparisons and software. Nondifferentiable analysis: various generalizations of the concept of subdifferen tials. Industrial and other applications. This volume contains selected papers presented at the Workshop. It is divided into four sections, based on the above topics: I. Concepts in Nonsmooth Analysis II. Multicriteria Optimization and Control Theory III. Algorithms and Optimization Methods IV. Stochastic Programming and Applications We would like to thank the International Institute for Applied Systems Analysis, particularly Prof. V. Kaftanov and Prof. A.B. Kurzhanski, for their support in organiz ing this meeting.
Author : Richard Bellman
Publisher : SIAM
ISBN 13 : 9781611971170
Total Pages : 431 pages
Book Rating : 4.9/5 (711 download)
Download or read book Introduction to Matrix Analysis written by Richard Bellman and published by SIAM. This book was released on 1997-12-01 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Long considered to be a classic in its field, this was the first book in English to include three basic fields of the analysis of matrices -- symmetric matrices and quadratic forms, matrices and differential equations, and positive matrices and their use in probability theory and mathematical economics. Written in lucid, concise terms, this volume covers all the key aspects of matrix analysis and presents a variety of fundamental methods. Originally published in 1970, this book replaces the first edition previously published by SIAM in the Classics series. Here you will find a basic guide to operations with matrices and the theory of symmetric matrices, plus an understanding of general square matrices, origins of Markov matrices and non-negative matrices in general, minimum- maximum characterization of characteristic roots, Krnoecker products, functions of matrices, and much more. These ideas and methods will serve as powerful analytical tools. In addition, this volume includes exercises of all levels of difficulty and many references to original papers containing further results. The problem sections contain many useful and interesting results that are not easily found elsewhere. A discussion of the theoretical treatment of matrices in the computational solution of ordinary and partial differential equations, as well as important chapters on dynamic programming and stochastic matrices are also included.
Author : J. M. Ortega
Publisher : Elsevier
ISBN 13 : 1483276724
Total Pages : 593 pages
Book Rating : 4.4/5 (832 download)
Download or read book Iterative Solution of Nonlinear Equations in Several Variables written by J. M. Ortega and published by Elsevier. This book was released on 2014-05-10 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Science and Applied Mathematics: Iterative Solution of Nonlinear Equations in Several Variables presents a survey of the basic theoretical results about nonlinear equations in n dimensions and analysis of the major iterative methods for their numerical solution. This book discusses the gradient mappings and minimization, contractions and the continuation property, and degree of a mapping. The general iterative and minimization methods, rates of convergence, and one-step stationary and multistep methods are also elaborated. This text likewise covers the contractions and nonlinear majorants, convergence under partial ordering, and convergence of minimization methods. This publication is a good reference for specialists and readers with an extensive functional analysis background.
Author : J. Kriens
Publisher : Springer Science & Business Media
ISBN 13 : 3642953425
Total Pages : 146 pages
Book Rating : 4.6/5 (429 download)
Download or read book Convex Analysis and Mathematical Economics written by J. Kriens and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: On February 20, 1978, the Department of Econometrics of the University of Tilburg organized a symposium on Convex Analysis and Mathematical th Economics to commemorate the 50 anniversary of the University. The general theme of the anniversary celebration was "innovation" and since an important part of the departments' theoretical work is con centrated on mathematical economics, the above mentioned theme was chosen. The scientific part of the Symposium consisted of four lectures, three of them are included in an adapted form in this volume, the fourth lec ture was a mathematical one with the title "On the development of the application of convexity". The three papers included concern recent developments in the relations between convex analysis and mathematical economics. Dr. P.H.M. Ruys and Dr. H.N. Weddepohl (University of Tilburg) study in their paper "Economic theory and duality", the relations between optimality and equilibrium concepts in economic theory and various duality concepts in convex analysis. The models are introduced with an individual facing a decision in an optimization problem. Next, an n person decision problem is analyzed, and the following concepts are defined: optimum, relative optimum, Nash-equilibrium, and Pareto-optimum.
Author : A.G. Kusraev
Publisher : Springer Science & Business Media
ISBN 13 : 9401102651
Total Pages : 415 pages
Book Rating : 4.4/5 (11 download)
Download or read book Subdifferentials written by A.G. Kusraev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of the present book is sub differential calculus. The main source of this branch of functional analysis is the theory of extremal problems. For a start, we explicate the origin and statement of the principal problems of sub differential calculus. To this end, consider an abstract minimization problem formulated as follows: x E X, f(x) --+ inf. Here X is a vector space and f : X --+ iR is a numeric function taking possibly infinite values. In these circumstances, we are usually interested in the quantity inf f( x), the value of the problem, and in a solution or an optimum plan of the problem (i. e. , such an x that f(x) = inf f(X», if the latter exists. It is a rare occurrence to solve an arbitrary problem explicitly, i. e. to exhibit the value of the problem and one of its solutions. In this respect it becomes necessary to simplify the initial problem by reducing it to somewhat more manageable modifications formulated with the details of the structure of the objective function taken in due account. The conventional hypothesis presumed in attempts at theoretically approaching the reduction sought is as follows. Introducing an auxiliary function 1, one considers the next problem: x EX, f(x) -l(x) --+ inf. Furthermore, the new problem is assumed to be as complicated as the initial prob lem provided that 1 is a linear functional over X, i. e.
Author : Jean-Pierre Aubin
Publisher : Courier Corporation
ISBN 13 : 0486453243
Total Pages : 530 pages
Book Rating : 4.4/5 (864 download)
Download or read book Applied Nonlinear Analysis written by Jean-Pierre Aubin and published by Courier Corporation. This book was released on 2006-01-01 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear analysis, formerly a subsidiary of linear analysis, has advanced as an individual discipline, with its own methods and applications. Moreover, students can now approach this highly active field without the preliminaries of linear analysis. As this text demonstrates, the concepts of nonlinear analysis are simple, their proofs direct, and their applications clear. No prerequisites are necessary beyond the elementary theory of Hilbert spaces; indeed, many of the most interesting results lie in Euclidean spaces. In order to remain at an introductory level, this volume refrains from delving into technical difficulties and sophisticated results not in current use. Applications are explained as soon as possible, and theoretical aspects are geared toward practical use. Topics range from very smooth functions to nonsmooth ones, from convex variational problems to nonconvex ones, and from economics to mechanics. Background notes, comments, bibliography, and indexes supplement the text.
Author :
Publisher :
ISBN 13 :
Total Pages : 570 pages
Book Rating : 4.3/5 (91 download)
Download or read book Industrial Mathematics written by and published by . This book was released on 1981 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ronald Cross
Publisher : CRC Press
ISBN 13 : 9780824702199
Total Pages : 356 pages
Book Rating : 4.7/5 (21 download)
Download or read book Multivalued Linear Operators written by Ronald Cross and published by CRC Press. This book was released on 1998-07-09 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constructs a theoretical framework for the study of linear relations and provides underlying concepts, rules, formulae, theorems and techniques. The book compares the inversion, adjoints, completion and closure of various classes of linear operators. It highlights compact and precompact relations.
Author : Jean-Pierre Aubin
Publisher : Springer Science & Business Media
ISBN 13 : 0817648488
Total Pages : 474 pages
Book Rating : 4.8/5 (176 download)
Download or read book Set-Valued Analysis written by Jean-Pierre Aubin and published by Springer Science & Business Media. This book was released on 2009-03-02 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: "An elegantly written, introductory overview of the field, with a near perfect choice of what to include and what not, enlivened in places by historical tidbits and made eminently readable throughout by crisp language. It has succeeded in doing the near-impossible—it has made a subject which is generally inhospitable to nonspecialists because of its ‘family jargon’ appear nonintimidating even to a beginning graduate student." —The Journal of the Indian Institute of Science "The book under review gives a comprehensive treatment of basically everything in mathematics that can be named multivalued/set-valued analysis. ...The book is highly recommended for mathematicians and graduate students who will find here a very comprehensive treatment of set-valued analysis." —Mathematical Reviews "This book provides a thorough introduction to multivalued or set-valued analysis... The style is lively and vigorous, the relevant historical comments and suggestive overviews increase the interest for this work...Graduate students and mathematicians of every persuasion will welcome this unparalleled guide to set-valued analysis." —Zentralblatt Math
Author : W. Oettli
Publisher : Springer Science & Business Media
ISBN 13 : 3642463290
Total Pages : 310 pages
Book Rating : 4.6/5 (424 download)
Download or read book Optimization and Operations Research written by W. Oettli and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The variable metric algorithm is widely recognised as one of the most efficient ways of solving the following problem:- Locate x* a local minimum point n ( 1) of f(x) x E R Considerable attention has been given to the study of the convergence prop- ties of this algorithm especially for the case where analytic expressions are avai- ble for the derivatives g. = af/ax. i 1 ••• n • (2) ~ ~ In particular we shall mention the results of Wolfe (1969) and Powell (1972), (1975). Wolfe established general conditions under which a descent algorithm will converge to a stationary point and Powell showed that two particular very efficient algorithms that cannot be shown to satisfy \,olfe's conditions do in fact converge to the minimum of convex functions under certain conditions. These results will be st- ed more completely in Section 2. In most practical problems analytic expressions for the gradient vector g (Equ. 2) are not available and numerical derivatives are subject to truncation error. In Section 3 we shall consider the effects of these errors on Wolfe's convergent prop- ties and will discuss possible modifications of the algorithms to make them reliable in these circumstances. The effects of rounding error are considered in Section 4, whilst in Section 5 these thoughts are extended to include the case of on-line fu- tion minimisation where each function evaluation is subject to random noise.
