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Linear and Nonlinear Optimization by Igor Griva, Ariela Sofer and Stephen G. Nash (2008, Hardcover)

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The product is a textbook titled "Linear and Nonlinear Optimization" by authors Igor Griva, Ariela Sofer, and Stephen G. Nash. It is a second edition published by the Society for Industrial and Applied Mathematics in 2008.

About this product

Product Identifiers

PublisherSociety for Industrial AND Applied Mathematics

ISBN-100898716616

ISBN-139780898716610

eBay Product ID (ePID)71755277

Product Key Features

Number of Pages764 Pages

LanguageEnglish

Publication NameLinear and Nonlinear Optimization

SubjectLinear & Nonlinear Programming

Publication Year2008

FeaturesNew Edition

TypeTextbook

AuthorIgor Griva, Ariela Sofer, Stephen G. Nash

Subject AreaMathematics

FormatHardcover

Dimensions

Item Height2 in

Item Weight63.1 Oz

Item Length10.1 in

Item Width7.1 in

Additional Product Features

Edition Number2

Intended AudienceScholarly & Professional

LCCN2008-032477

Dewey Edition22

IllustratedYes

Dewey Decimal519.7/2

Edition DescriptionNew Edition

Table Of ContentPreface 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

SynopsisIntroduces 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., Introduces the applications, theory, and algorithms of linear and nonlinear optimization, with an emphasis on the practical aspects of the material. A supplemental website offers auxiliary data sets that are necessary for some of the exercises.

LC Classification NumberT57.74.G75 2008