Linear and Nonlinear Optimization, Second Edition

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9780898716610: Linear and Nonlinear Optimization, Second Edition

This book introduces the applications, theory, and algorithms of linear and nonlinear optimization, with an emphasis on the practical aspects of the material. Its unique modular structure provides flexibility to accommodate the varying needs of instructors, students, and practitioners with different levels of sophistication in these topics. The succinct style of this second edition is punctuated with numerous real-life examples and exercises, and the authors include accessible explanations of topics that are not often mentioned in textbooks, such as duality in nonlinear optimization, primal-dual methods for nonlinear optimization, filter methods, and applications such as support-vector machines.

Part I of Linear and Nonlinear Optimization, Second Edition provides fundamentals that can be taught in whole or in part at the beginning of a course on either topic and then referred to as needed. Part II on linear programming and Part III on unconstrained optimization can be used together or separately, and Part IV on nonlinear optimization can be taught without having studied the material in Part II. In the preface the authors suggest course outlines that can be adjusted to the requirements of a particular course on both linear and nonlinear optimization, or to separate courses on these topics. Three appendices provide information on linear algebra, other fundamentals, and software packages for optimization problems. A supplemental website offers auxiliary data sets that are necessary for some of the exercises.

Audience: This book is primarily intended for use in linear and nonlinear optimization courses for advanced undergraduate and graduate students. It is also appropriate as a tutorial for researchers and practitioners who need to understand the modern algorithms of linear and nonlinear optimization to apply them to problems in science and engineering.

Contents: Preface; Part I: Basics; Chapter 1: Optimization Models; Chapter 2: Fundamentals of Optimization; Chapter 3: Representation of Linear Constraints; Part II: Linear Programming; Chapter 4: Geometry of Linear Programming; Chapter 5: The Simplex Method; Chapter 6: Duality and Sensitivity; Chapter 7: Enhancements of the Simplex Method; Chapter 8: Network Problems; Chapter 9: Computational Complexity of Linear Programming; Chapter 10: Interior-Point Methods of Linear Programming; Part III: Unconstrained Optimization; Chapter 11: Basics of Unconstrained Optimization; Chapter 12: Methods for Unconstrained Optimization; Chapter 13: Low-Storage Methods for Unconstrained Problems; Part IV: Nonlinear Optimization; Chapter 14: Optimality Conditions for Constrained Problems; Chapter 15: Feasible-Point Methods; Chapter 16: Penalty and Barrier Methods; Part V: Appendices; Appendix A: Topics from Linear Algebra; Appendix B: Other Fundamentals; Appendix C: Software; Bibliography; Index

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Book Description:

Flexible graduate textbook that introduces the applications, theory, and algorithms of linear and nonlinear optimization in a clear succinct style, supported by numerous examples and exercises. It introduces important realistic applications and explains how optimization can address them.

About the Author:

Igor Griva is an Assistant Professor in the Department of Computational and Data Science and the Department of Mathematical Sciences at George Mason University. His research focuses on the theory and methods of nonlinear optimization and their application to problems in science and engineering. Stephen G. Nash is a Professor of Systems Engineering and Operations Research at George Mason University. His research focuses on scientific computing, especially nonlinear optimization, along with related interests in statistical computing and optimal control. Ariela Sofer is Professor and Chair of the Systems Engineering and Operations Research Department at George Mason University. Her major areas of interest are nonlinear optimization and optimization in biomedical applications.

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Griva, Igor
Editorial: Society for Industrial and Applied Mathematics (2009)
ISBN 10: 0898716616 ISBN 13: 9780898716610
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Descripción Society for Industrial and Applied Mathematics, 2009. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería CE-9780898716610

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Igor Griva, Stephen G. Nash, Ariela Sofer
Editorial: Society for Industrial Applied Mathematics,U.S., United States (2012)
ISBN 10: 0898716616 ISBN 13: 9780898716610
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Descripción Society for Industrial Applied Mathematics,U.S., United States, 2012. Hardback. Estado de conservación: New. 2nd Revised edition. Language: English . Brand New Book. Introduces the applications, theory, and algorithms of linear and nonlinear optimization, with an emphasis on the practical aspects of the material. Its unique modular structure provides flexibility to accommodate the varying needs of instructors, students, and practitioners with different levels of sophistication in these topics. The succinct style of this second edition is punctuated with numerous real-life examples and exercises, and the authors include accessible explanations of topics that are not often mentioned in textbooks, such as duality in nonlinear optimization, primal-dual methods for nonlinear optimization, filter methods, and applications such as support-vector machines. Part I provides fundamentals that can be taught in whole or in part at the beginning of a course on either topic and then referred to as needed. Part II on linear programming and Part III on unconstrained optimization can be used together or separately, and Part IV on nonlinear optimization can be taught without having studied the material in Part II.In the preface the authors suggest course outlines that can be adjusted to the requirements of a particular course on both linear and nonlinear optimization, or to separate courses on these topics. Three appendices provide information on linear algebra, other fundamentals, and software packages for optimization problems. A supplemental website offers auxiliary data sets that are necessary for some of the exercises. Nº de ref. de la librería AAN9780898716610

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Igor Griva, Stephen G. Nash, Ariela Sofer
Editorial: Society for Industrial Applied Mathematics,U.S., United States (2012)
ISBN 10: 0898716616 ISBN 13: 9780898716610
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Descripción Society for Industrial Applied Mathematics,U.S., United States, 2012. Hardback. Estado de conservación: New. 2nd Revised edition. Language: English . Brand New Book. Introduces the applications, theory, and algorithms of linear and nonlinear optimization, with an emphasis on the practical aspects of the material. Its unique modular structure provides flexibility to accommodate the varying needs of instructors, students, and practitioners with different levels of sophistication in these topics. The succinct style of this second edition is punctuated with numerous real-life examples and exercises, and the authors include accessible explanations of topics that are not often mentioned in textbooks, such as duality in nonlinear optimization, primal-dual methods for nonlinear optimization, filter methods, and applications such as support-vector machines. Part I provides fundamentals that can be taught in whole or in part at the beginning of a course on either topic and then referred to as needed. Part II on linear programming and Part III on unconstrained optimization can be used together or separately, and Part IV on nonlinear optimization can be taught without having studied the material in Part II.In the preface the authors suggest course outlines that can be adjusted to the requirements of a particular course on both linear and nonlinear optimization, or to separate courses on these topics. Three appendices provide information on linear algebra, other fundamentals, and software packages for optimization problems. A supplemental website offers auxiliary data sets that are necessary for some of the exercises. Nº de ref. de la librería AAN9780898716610

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Igor Griva; Stephen G. Nash; Ariela Sofer
ISBN 10: 0898716616 ISBN 13: 9780898716610
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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97808987166100000000

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Igor Griva, Stephen G. Nash, Ariela Sofer
Editorial: Society for Industrial & Applied Mathematics,U.S.
ISBN 10: 0898716616 ISBN 13: 9780898716610
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Descripción Society for Industrial & Applied Mathematics,U.S. Hardback. Estado de conservación: new. BRAND NEW, Linear and Nonlinear Optimization (2nd Revised edition), Igor Griva, Stephen G. Nash, Ariela Sofer, Provides an introduction to the applications, theory, and algorithms of linear and nonlinear optimization. The emphasis is on practical aspects - discussing modern algorithms, as well as the influence of theory on the interpretation of solutions or on the design of software. The book includes several examples of realistic optimization models that address important applications. The succinct style of this second edition is punctuated with numerous real-life examples and exercises, and the authors include accessible explanations of topics that are not often mentioned in textbooks, such as duality in nonlinear optimization, primal-dual methods for nonlinear optimization, filter methods, and applications such as support-vector machines. The book is designed to be flexible. It has a modular structure, and uses consistent notation and terminology throughout. It can be used in many different ways, in many different courses, and at many different levels of sophistication. Nº de ref. de la librería B9780898716610

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Igor Griva; Stephen G. Nash; Ariela Sofer
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ISBN 10: 0898716616 ISBN 13: 9780898716610
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Descripción Society for Industrial Mathematics, 2008. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0898716616

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Descripción Society for Industrial Mathema, 2008. Hardcover. Estado de conservación: New. Nº de ref. de la librería P110898716616

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Descripción Society for Industrial Mathematics, 2008. Hardcover. Estado de conservación: New. 2. Nº de ref. de la librería DADAX0898716616

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Descripción Soc Industrial Applied Maths, 2008. Hardback. Estado de conservación: NEW. 9780898716610 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE01294637

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Descripción Society for Industrial Mathematics, 2009. Hardcover. Estado de conservación: Brand New. 2nd edition. 764 pages. 10.20x7.20x1.50 inches. In Stock. Nº de ref. de la librería __0898716616

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