Nering, Evar D.; Tucker, Albert W.
Linear Programs & Related Problems: A Volume in the COMPUTER SCIENCE and SCIENTIFIC COMPUTING Series
# ISBN 13: 9780125154406

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.

*"synopsis" may belong to another edition of this title.*

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 maximization problem and its dual minimization problem are considered together, and solving either problem automatically provides a solution to the other. The related topics in matrix games, assignment problems, transportation problems, network-flow problems, and transshipment problems are also treated simultaneously with their dual problems.

The tableaux are used as graphical tools to assist the reader in determining what the next step should be, whether the problem is feasible, whether it has an optimal solution, and , if it does, solutions to both of the dual problems at the same time.

The answer set is extensive. It includes the correct result for all of the problems in the text and, for many problems, a thorough explanation of how to arrive at that result. There is also an IBM compatible disk accompanying the text that includes programs for doing the arithmetic work associated with pivoting in tableaux and the Hungarian algorithm. The data files for the appropriate exercises are included, and new data can be entered and saved. User-selected results may be printed

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) and **Elementary Linear Algebra** (Saunders, 1973).His most recent activity has been in mathematical programming, including his collaboration with Albert W. Tucker since 1973. He was a faculty member at the University of Minnesota, The University of Arizona, and Arizona State University until his retirement in 1990. At Arizona State University he was Chairman of the Mathematics Department and a consultant to the faculty and staff on microcomputers.

The career of Albert W. Tucker spans more than 50 years at Princeton University. Best known today for his work in mathematical programming and game theory (e.g., the Kuhn-Tucker theorem, Tucker tableaux, and the Prisoner's Dilemma), he was also prominent in combinational topology in his earlier years. An outstanding teacher, leader, and editor, he has been Chairman of the Princeton Mathematics Department, President of the MAA, Chairman of the Mathematical Programming Society, and course instructor, thesis advisor, or general mentor to scores of active mathematicians. For many years before his retirement in 1974, he taught a popular junior-senior course in games and programs, the notes for which grew into this book-thanks to Evar D. Nering.

*"About this title" may belong to another edition of this title.*

US$ 87.78

**Shipping:**
US$ 9.74

From United Kingdom to U.S.A.

Published by
Academic Press
(1992)

ISBN 10: 0125154402
ISBN 13: 9780125154406

New
Hardcover
Quantity Available: 1

Seller

Rating

**Book Description **Academic Press, 1992. Hardback. Book Condition: NEW. 9780125154406 584pp., Hardback, This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Bookseller Inventory # HTANDREE0894970

More Information About This Seller | Ask Bookseller a Question

Published by
Academic Press
(2016)

ISBN 10: 0125154402
ISBN 13: 9780125154406

New
Paperback
Quantity Available: 1

Seller

Rating

**Book Description **Academic Press, 2016. Paperback. Book Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Bookseller Inventory # ria9780125154406_lsuk

More Information About This Seller | Ask Bookseller a Question

Published by
Elsevier Science Publishing Co Inc
(1992)

ISBN 10: 0125154402
ISBN 13: 9780125154406

New
Quantity Available: > 20

Seller

Rating

**Book Description **Elsevier Science Publishing Co Inc, 1992. HRD. Book Condition: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IP-9780125154406

More Information About This Seller | Ask Bookseller a Question

Published by
Academic Press
(1992)

ISBN 10: 0125154402
ISBN 13: 9780125154406

New
Hardcover
Quantity Available: 10

Seller

Rating

**Book Description **Academic Press, 1992. Hardcover. Book Condition: New. Bookseller Inventory # INGM9780125154406

More Information About This Seller | Ask Bookseller a Question

Published by
Academic Press
(1992)

ISBN 10: 0125154402
ISBN 13: 9780125154406

New
Quantity Available: > 20

Seller

Rating

**Book Description **Academic Press, 1992. HRD. Book Condition: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Bookseller Inventory # IP-9780125154406

More Information About This Seller | Ask Bookseller a Question

Published by
Elsevier Science Publishing Co Inc, United States
(1992)

ISBN 10: 0125154402
ISBN 13: 9780125154406

New
Hardcover
Quantity Available: 10

Seller

Rating

**Book Description **Elsevier Science Publishing Co Inc, United States, 1992. Hardback. Book Condition: New. 226 x 150 mm. Language: English . Brand New Book ***** Print on Demand *****. 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. Bookseller Inventory # APC9780125154406

More Information About This Seller | Ask Bookseller a Question

Published by
Elsevier Science Publishing Co Inc, United States
(1992)

ISBN 10: 0125154402
ISBN 13: 9780125154406

New
Hardcover
Quantity Available: 10

Seller

Rating

**Book Description **Elsevier Science Publishing Co Inc, United States, 1992. Hardback. Book Condition: New. 226 x 150 mm. Language: English . Brand New Book ***** Print on Demand *****.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. Bookseller Inventory # APC9780125154406

More Information About This Seller | Ask Bookseller a Question

Published by
Elsevier Science Publishing Co Inc 1992-11-11, San Diego
(1992)

ISBN 10: 0125154402
ISBN 13: 9780125154406

New
Hardcover
Quantity Available: 10

Seller

Rating

**Book Description **Elsevier Science Publishing Co Inc 1992-11-11, San Diego, 1992. hardback. Book Condition: New. Bookseller Inventory # 9780125154406

More Information About This Seller | Ask Bookseller a Question

Published by
Academic Press
(1992)

ISBN 10: 0125154402
ISBN 13: 9780125154406

New
Hardcover
Quantity Available: 1

Seller

Rating

**Book Description **Academic Press, 1992. Hardcover. Book Condition: New. book. Bookseller Inventory # 0125154402

More Information About This Seller | Ask Bookseller a Question

Published by
Academic Press

ISBN 10: 0125154402
ISBN 13: 9780125154406

New
Hardcover
Quantity Available: 20

Seller

Rating

**Book Description **Academic Press. Hardcover. Book Condition: New. Hardcover. 584 pages. Dimensions: 8.9in. x 5.9in. x 1.4in.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 Karmarkers 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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Hardcover. Bookseller Inventory # 9780125154406

More Information About This Seller | Ask Bookseller a Question