Linear Programs and Related Problems: A Volume in the COMPUTER SCIENCE and SCIENTIFIC COMPUTING…

Hardcover | October 12, 1992

byEvar D. Nering, Albert W. TuckerEditorEvar D. Nering

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This text is concerned primarily with the theory of linear and nonlinear programming, and a number of closely-related problems, and with algorithms appropriate to those problems. In the first part of the book, the authors introduce the concept of duality which serves as a unifying concept throughout the book. The simplex algorithm is presented along with modifications and adaptations to problems with special structures. Two alternative algorithms, the ellipsoidal algorithm and Karmarker's algorithm, are also discussed, along with numerical considerations. the second part of the book looks at specific types of problems and methods for their solution. This book is designed as a textbook for mathematical programming courses, and each chapter contains numerous exercises and examples.

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From Our Editors

This text is concerned primarily with the theory of linear and nonlinear programming, and a number of closely-related problems, and with algorithms appropriate to those problems. In the first part of the book, the authors introduce the concept of duality which serves as a unifying concept throughout the book. The simplex algorithm is p...

From the Publisher

This text is concerned primarily with the theory of linear and nonlinear programming, and a number of closely-related problems, and with algorithms appropriate to those problems. In the first part of the book, the authors introduce the concept of duality which serves as a unifying concept throughout the book. The simplex algorithm is p...

From the Jacket

This text is concerned with the theory of linear and nonlinear programming, related problems, and the algorithms appropriate to the problems. The concept of duality is introduced early and serves as a unifying theme throughout the book. It is used to provide insight, interpret results, and provide practical information.In this book the...

Evar D. Nering received his Ph.D. at Princeton University under the direction of Emil Artin. His early publications were in algebraic number theory and game theory. He was the author of two books on linear algebra,Linear Algebra and matrix Theory(John Wiley & Sons, 1963, 1970) andElementary Linear Algebra(Saunders, 1973).His most recen...
Format:HardcoverDimensions:584 pages, 9 × 6 × 0.98 inPublished:October 12, 1992Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0125154402

ISBN - 13:9780125154406

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Table of Contents

Sample Linear Problems. Tableau Algebra. Canonical Duality. the Simplex Algorithm. General Linear Programs. Numerical Considerations. Matrix Games. Assignment and Matching Problems. Transportations Problems. Network Flow Problems. The Transshipment Problem. Nonlinear programs.

From Our Editors

This text is concerned primarily with the theory of linear and nonlinear programming, and a number of closely-related problems, and with algorithms appropriate to those problems. In the first part of the book, the authors introduce the concept of duality which serves as a unifying concept throughout the book. The simplex algorithm is presented along with modifications and adaptations to problems with special structures.