Convergence Theory of Feasible Direction Methods

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Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Convergence Theory of Feasible Direction Methods by : Dingzhu Du

Download or read book Convergence Theory of Feasible Direction Methods written by Dingzhu Du and published by . This book was released on 1991 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Methods of Feasible Directions

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Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis Methods of Feasible Directions by : G. Zoutendijk

Download or read book Methods of Feasible Directions written by G. Zoutendijk and published by . This book was released on 1960 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimization Methods and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 147573333X
Total Pages : 439 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Optimization Methods and Applications by : Xiao-qi Yang

Download or read book Optimization Methods and Applications written by Xiao-qi Yang and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book is dedicated to Professor N. U. Ahmed, a leading scholar and a renowned researcher in optimal control and optimization on the occasion of his retirement from the Department of Electrical Engineering at University of Ottawa in 1999. The contributions of this volume are in the areas of optimal control, non linear optimization and optimization applications. They are mainly the im proved and expanded versions of the papers selected from those presented in two special sessions of two international conferences. The first special session is Optimization Methods, which was organized by K. L. Teo and X. Q. Yang for the International Conference on Optimization and Variational Inequality, the City University of Hong Kong, Hong Kong, 1998. The other one is Optimal Control, which was organized byK. ~Teo and L. Caccetta for the Dynamic Control Congress, Ottawa, 1999. This volume is divided into three parts: Optimal Control; Optimization Methods; and Applications. The Optimal Control part is concerned with com putational methods, modeling and nonlinear systems. Three computational methods for solving optimal control problems are presented: (i) a regularization method for computing ill-conditioned optimal control problems, (ii) penalty function methods that appropriately handle final state equality constraints, and (iii) a multilevel optimization approach for the numerical solution of opti mal control problems. In the fourth paper, the worst-case optimal regulation involving linear time varying systems is formulated as a minimax optimal con trol problem.

Mathematical Theory of Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 1475757956
Total Pages : 277 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Mathematical Theory of Optimization by : Ding-Zhu Du

Download or read book Mathematical Theory of Optimization written by Ding-Zhu Du and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the mathematical theory of optimization. It emphasizes the convergence theory of nonlinear optimization algorithms and applications of nonlinear optimization to combinatorial optimization. Mathematical Theory of Optimization includes recent developments in global convergence, the Powell conjecture, semidefinite programming, and relaxation techniques for designs of approximation solutions of combinatorial optimization problems.

Optimization Theory and Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 0387249761
Total Pages : 689 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Optimization Theory and Methods by : Wenyu Sun

Download or read book Optimization Theory and Methods written by Wenyu Sun and published by Springer Science & Business Media. This book was released on 2006-08-06 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization Theory and Methods can be used as a textbook for an optimization course for graduates and senior undergraduates. It is the result of the author's teaching and research over the past decade. It describes optimization theory and several powerful methods. For most methods, the book discusses an idea’s motivation, studies the derivation, establishes the global and local convergence, describes algorithmic steps, and discusses the numerical performance.

Progress in Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792362869
Total Pages : 376 pages
Book Rating : 4.3/5 (628 download)

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Book Synopsis Progress in Optimization by : Xiaoqi Yang

Download or read book Progress in Optimization written by Xiaoqi Yang and published by Springer Science & Business Media. This book was released on 2000-04-30 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second in a series of contributed, refereed volumes devoted to research in optimization by Australian researchers and their collaborators. These volumes are intended to have wide scope and include survey papers by established researchers providing up-to-date information on research directions. This volume includes survey and research papers on theories and methods of nonlinear programming, nonconvex and discrete optimization, stochastic linear programming, generalized convexity, complementarity and vector variational inequality problems, dynamic systems and optimal control and applications to traffic assignment models, train control, manufacturing systems and substrate diffusion of cutaneous tissue. Audience: Practitioners, postgraduate students and researchers in optimization.

Distributed Optimization and Statistical Learning Via the Alternating Direction Method of Multipliers

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Publisher : Now Publishers Inc
ISBN 13 : 160198460X
Total Pages : 138 pages
Book Rating : 4.6/5 (19 download)

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Book Synopsis Distributed Optimization and Statistical Learning Via the Alternating Direction Method of Multipliers by : Stephen Boyd

Download or read book Distributed Optimization and Statistical Learning Via the Alternating Direction Method of Multipliers written by Stephen Boyd and published by Now Publishers Inc. This book was released on 2011 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys the theory and history of the alternating direction method of multipliers, and discusses its applications to a wide variety of statistical and machine learning problems of recent interest, including the lasso, sparse logistic regression, basis pursuit, covariance selection, support vector machines, and many others.

Trust Region Methods

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Publisher : SIAM
ISBN 13 : 0898714605
Total Pages : 960 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Trust Region Methods by : A. R. Conn

Download or read book Trust Region Methods written by A. R. Conn and published by SIAM. This book was released on 2000-01-01 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.

Engineering Optimization

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Publisher : John Wiley & Sons
ISBN 13 : 0470183527
Total Pages : 834 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Engineering Optimization by : Singiresu S. Rao

Download or read book Engineering Optimization written by Singiresu S. Rao and published by John Wiley & Sons. This book was released on 2009-07-20 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: Technology/Engineering/Mechanical Helps you move from theory to optimizing engineering systems in almost any industry Now in its Fourth Edition, Professor Singiresu Rao's acclaimed text Engineering Optimization enables readers to quickly master and apply all the important optimization methods in use today across a broad range of industries. Covering both the latest and classical optimization methods, the text starts off with the basics and then progressively builds to advanced principles and applications. This comprehensive text covers nonlinear, linear, geometric, dynamic, and stochastic programming techniques as well as more specialized methods such as multiobjective, genetic algorithms, simulated annealing, neural networks, particle swarm optimization, ant colony optimization, and fuzzy optimization. Each method is presented in clear, straightforward language, making even the more sophisticated techniques easy to grasp. Moreover, the author provides: Case examples that show how each method is applied to solve real-world problems across a variety of industries Review questions and problems at the end of each chapter to engage readers in applying their newfound skills and knowledge Examples that demonstrate the use of MATLAB® for the solution of different types of practical optimization problems References and bibliography at the end of each chapter for exploring topics in greater depth Answers to Review Questions available on the author's Web site to help readers to test their understanding of the basic concepts With its emphasis on problem-solving and applications, Engineering Optimization is ideal for upper-level undergraduates and graduate students in mechanical, civil, electrical, chemical, and aerospace engineering. In addition, the text helps practicing engineers in almost any industry design improved, more efficient systems at less cost.

An Optimization Program Based on the Method of Feasible Directions

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Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis An Optimization Program Based on the Method of Feasible Directions by : Ashok D. Belegundu

Download or read book An Optimization Program Based on the Method of Feasible Directions written by Ashok D. Belegundu and published by . This book was released on 1994 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Programming

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Publisher : Elsevier
ISBN 13 : 0080535933
Total Pages : 589 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Mathematical Programming by : S. M. Sinha

Download or read book Mathematical Programming written by S. M. Sinha and published by Elsevier. This book was released on 2005-01-01 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Programming, a branch of Operations Research, is perhaps the most efficient technique in making optimal decisions. It has a very wide application in the analysis of management problems, in business and industry, in economic studies, in military problems and in many other fields of our present day activities. In this keen competetive world, the problems are getting more and more complicated ahnd efforts are being made to deal with these challenging problems. This book presents from the origin to the recent developments in mathematical programming. The book has wide coverage and is self-contained. It is suitable both as a text and as a reference.* A wide ranging all encompasing overview of mathematical programming from its origins to recent developments* A result of over thirty years of teaching experience in this feild* A self-contained guide suitable both as a text and as a reference

Progress in Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 146130301X
Total Pages : 347 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Progress in Optimization by : Xiao-qi Yang

Download or read book Progress in Optimization written by Xiao-qi Yang and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Optimization Day' (OD) has been a series of annual mini-conferences in Aus tralia since 1994. The purpose of this series of events is to gather researchers in optimization and its related areas from Australia and their collaborators, in order to exchange new developments of optimization theories, methods and their applications. The first four OD mini-conferences were held in The Uni versity of Ballarat (1994), The University of New South Wales (1995), The University of Melbourne (1996) and Royal Melbourne Institute of Technology (1997), respectively. They were all on the eastern coast of Australia. The fifth mini-conference Optimization Days was held at the Centre for Ap plied Dynamics and Optimization (CADO), Department of Mathematics and Statistics, The University of Western Australia, Perth, from 29 to 30 June 1998. This is the first time the OD mini-conference has been held at the west ern coast of Australia. This fifth OD preceded the International Conference on Optimization: Techniques and Applications (ICOTA) held at Curtin Uni versity of Technology. Many participants attended both events. There were 28 participants in this year's mini-conference and 22 presentations in the mini conference. The presentations in this volume are refereed contributions based on papers presented at the fifth Optimization Days mini-conference. The volume is di vided into the following parts: Global Optimization, Nonsmooth Optimization, Optimization Methods and Applications.

Newton-Type Methods for Optimization and Variational Problems

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Publisher : Springer
ISBN 13 : 3319042475
Total Pages : 587 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Newton-Type Methods for Optimization and Variational Problems by : Alexey F. Izmailov

Download or read book Newton-Type Methods for Optimization and Variational Problems written by Alexey F. Izmailov and published by Springer. This book was released on 2014-07-08 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents comprehensive state-of-the-art theoretical analysis of the fundamental Newtonian and Newtonian-related approaches to solving optimization and variational problems. A central focus is the relationship between the basic Newton scheme for a given problem and algorithms that also enjoy fast local convergence. The authors develop general perturbed Newtonian frameworks that preserve fast convergence and consider specific algorithms as particular cases within those frameworks, i.e., as perturbations of the associated basic Newton iterations. This approach yields a set of tools for the unified treatment of various algorithms, including some not of the Newton type per se. Among the new subjects addressed is the class of degenerate problems. In particular, the phenomenon of attraction of Newton iterates to critical Lagrange multipliers and its consequences as well as stabilized Newton methods for variational problems and stabilized sequential quadratic programming for optimization. This volume will be useful to researchers and graduate students in the fields of optimization and variational analysis.

Discrete Algorithms and Complexity

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Publisher : Elsevier
ISBN 13 : 1483274004
Total Pages : 497 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Discrete Algorithms and Complexity by : David S. Johnson

Download or read book Discrete Algorithms and Complexity written by David S. Johnson and published by Elsevier. This book was released on 2014-05-10 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perspectives in Computing, Volume 15: Discrete Algorithms and Complexity provides an understanding of discrete algorithms and complexity. This book covers a variety of topics, including discrete logarithm algorithms, parallel bubbling, electronic prototyping, number theoretic complexity, and linear programming. Organized into 27 chapters, this volume begins with an overview of the basic solutions of the primal and dual that can be characterized in graph-theoretic terms. This text then explores the principal partition of vertex-weighted graphs, which is utilized to solve certain assignment problems or flow problems that are formulated using such graphs. Other chapters consider a polynomial-time algorithm for finding the geodesic center of a simple polygon. This book discusses as well the three efficient algorithms for the routing problems around a rectangle. The final chapter deals with a snoopy cache multiprocessor system wherein each processor has a cache in which it stores blocks of data. This book is a valuable resource for mathematicians and researchers.

New Trends in Systems Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461204399
Total Pages : 741 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis New Trends in Systems Theory by : Giuseppe Conte

Download or read book New Trends in Systems Theory written by Giuseppe Conte and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 741 pages. Available in PDF, EPUB and Kindle. Book excerpt: The University of Genoa - Ohio State University Joint Conference on New Trends in Systems Theory was held at the Badia di S. Andrea in Genoa on July 9-11, 1990. This Proceedings volume contains articles based on two of the three Plenary talks and most of the shorter presentations. The papers are arranged by author, and no attempt has been made to organize them by topic. We would like to thank the members of the Scientific Committee and of the Program Committee, the speakers and authors, and everyone who attended the conference. Approximately 120 researchers and students from all over the world visited Genoa for the meeting, representing a wide spectrum of areas in pure and applied control and systems theory. The success of the conference depended on their high level of scientific and engineering expertise, not to mention their enthusiasm. The Conference on New Trends in Systems Theory would not have been possible without the help of a great many institutions and people. We would like to thank the University of Genoa, particularly Professor Enrico Beltrametti, and the Ohio State University's Columbian Quincentenary Committee led by Professor Christian Zacher, for encouragement and financial assistance. The University of Genoa Mathematics Department and Communication, Computer and System Sciences Department supplied assistance and technical help. The staff of the Consorzio Genova Ricerche, particularly Ms. Piera Ponta and Ms. Camilla Marconi, worked diligently over many months and especially during the conference itself to insure a smooth and enjoyable meeting.

Nonlinear Programming

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Publisher : John Wiley & Sons
ISBN 13 : 1118626303
Total Pages : 818 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Nonlinear Programming by : Mokhtar S. Bazaraa

Download or read book Nonlinear Programming written by Mokhtar S. Bazaraa and published by John Wiley & Sons. This book was released on 2013-06-12 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: COMPREHENSIVE COVERAGE OF NONLINEAR PROGRAMMING THEORY AND ALGORITHMS, THOROUGHLY REVISED AND EXPANDED Nonlinear Programming: Theory and Algorithms—now in an extensively updated Third Edition—addresses the problem of optimizing an objective function in the presence of equality and inequality constraints. Many realistic problems cannot be adequately represented as a linear program owing to the nature of the nonlinearity of the objective function and/or the nonlinearity of any constraints. The Third Edition begins with a general introduction to nonlinear programming with illustrative examples and guidelines for model construction. Concentration on the three major parts of nonlinear programming is provided: Convex analysis with discussion of topological properties of convex sets, separation and support of convex sets, polyhedral sets, extreme points and extreme directions of polyhedral sets, and linear programming Optimality conditions and duality with coverage of the nature, interpretation, and value of the classical Fritz John (FJ) and the Karush-Kuhn-Tucker (KKT) optimality conditions; the interrelationships between various proposed constraint qualifications; and Lagrangian duality and saddle point optimality conditions Algorithms and their convergence, with a presentation of algorithms for solving both unconstrained and constrained nonlinear programming problems Important features of the Third Edition include: New topics such as second interior point methods, nonconvex optimization, nondifferentiable optimization, and more Updated discussion and new applications in each chapter Detailed numerical examples and graphical illustrations Essential coverage of modeling and formulating nonlinear programs Simple numerical problems Advanced theoretical exercises The book is a solid reference for professionals as well as a useful text for students in the fields of operations research, management science, industrial engineering, applied mathematics, and also in engineering disciplines that deal with analytical optimization techniques. The logical and self-contained format uniquely covers nonlinear programming techniques with a great depth of information and an abundance of valuable examples and illustrations that showcase the most current advances in nonlinear problems.

Computational Methods in Optimization

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Publisher : Academic Press
ISBN 13 : 008096091X
Total Pages : 351 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Computational Methods in Optimization by : E. Polak

Download or read book Computational Methods in Optimization written by E. Polak and published by Academic Press. This book was released on 1971-05-31 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods in Optimization