The Primal Dual Algorithm For Linear Programming

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Primal-dual Interior-Point Methods

Author : Stephen J. Wright
Publisher : SIAM
ISBN 13 : 9781611971453
Total Pages : 309 pages
Book Rating : 4.9/5 (714 download)

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Book Synopsis Primal-dual Interior-Point Methods by : Stephen J. Wright

Download or read book Primal-dual Interior-Point Methods written by Stephen J. Wright and published by SIAM. This book was released on 1997-01-01 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past decade, primal-dual algorithms have emerged as the most important and useful algorithms from the interior-point class. This book presents the major primal-dual algorithms for linear programming in straightforward terms. A thorough description of the theoretical properties of these methods is given, as are a discussion of practical and computational aspects and a summary of current software. This is an excellent, timely, and well-written work. The major primal-dual algorithms covered in this book are path-following algorithms (short- and long-step, predictor-corrector), potential-reduction algorithms, and infeasible-interior-point algorithms. A unified treatment of superlinear convergence, finite termination, and detection of infeasible problems is presented. Issues relevant to practical implementation are also discussed, including sparse linear algebra and a complete specification of Mehrotra's predictor-corrector algorithm. Also treated are extensions of primal-dual algorithms to more general problems such as monotone complementarity, semidefinite programming, and general convex programming problems.

Progress in Mathematical Programming

Author : Nimrod Megiddo
Publisher : Springer Science & Business Media
ISBN 13 : 1461396174
Total Pages : 164 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Progress in Mathematical Programming by : Nimrod Megiddo

Download or read book Progress in Mathematical Programming written by Nimrod Megiddo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The starting point of this volume was a conference entitled "Progress in Mathematical Programming," held at the Asilomar Conference Center in Pacific Grove, California, March 1-4, 1987. The main topic of the conference was developments in the theory and practice of linear programming since Karmarkar's algorithm. There were thirty presentations and approximately fifty people attended. Presentations included new algorithms, new analyses of algorithms, reports on computational experience, and some other topics related to the practice of mathematical programming. Interestingly, most of the progress reported at the conference was on the theoretical side. Several new polynomial algorithms for linear program ming were presented (Barnes-Chopra-Jensen, Goldfarb-Mehrotra, Gonzaga, Kojima-Mizuno-Yoshise, Renegar, Todd, Vaidya, and Ye). Other algorithms presented were by Betke-Gritzmann, Blum, Gill-Murray-Saunders-Wright, Nazareth, Vial, and Zikan-Cottle. Efforts in the theoretical analysis of algo rithms were also reported (Anstreicher, Bayer-Lagarias, Imai, Lagarias, Megiddo-Shub, Lagarias, Smale, and Vanderbei). Computational experiences were reported by Lustig, Tomlin, Todd, Tone, Ye, and Zikan-Cottle. Of special interest, although not in the main direction discussed at the conference, was the report by Rinaldi on the practical solution of some large traveling salesman problems. At the time of the conference, it was still not clear whether the new algorithms developed since Karmarkar's algorithm would replace the simplex method in practice. Alan Hoffman presented results on conditions under which linear programming problems can be solved by greedy algorithms."

The Primal-dual Algorithm for Linear Programming

Author : Thomas Francis Wagner
Publisher :
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4.:/5 (322 download)

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Book Synopsis The Primal-dual Algorithm for Linear Programming by : Thomas Francis Wagner

Download or read book The Primal-dual Algorithm for Linear Programming written by Thomas Francis Wagner and published by . This book was released on 1957 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Evaluation of the Primal-dual Algorithm for Linear Programming

Author : Richard Gwyn Mills
Publisher :
ISBN 13 :
Total Pages : 230 pages
Book Rating : 4.:/5 (328 download)

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Book Synopsis An Evaluation of the Primal-dual Algorithm for Linear Programming by : Richard Gwyn Mills

Download or read book An Evaluation of the Primal-dual Algorithm for Linear Programming written by Richard Gwyn Mills and published by . This book was released on 1960 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Design of Competitive Online Algorithms Via a Primal-Dual Approach

Author : Niv Buchbinder
Publisher : Now Publishers Inc
ISBN 13 : 160198216X
Total Pages : 190 pages
Book Rating : 4.6/5 (19 download)

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Book Synopsis The Design of Competitive Online Algorithms Via a Primal-Dual Approach by : Niv Buchbinder

Download or read book The Design of Competitive Online Algorithms Via a Primal-Dual Approach written by Niv Buchbinder and published by Now Publishers Inc. This book was released on 2009 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extends the primal-dual method to the setting of online algorithms, and shows its applicability to a wide variety of fundamental problems.

Primal-Dual Interior-Point Methods

Author : Stephen J. Wright
Publisher : SIAM
ISBN 13 : 089871382X
Total Pages : 293 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Primal-Dual Interior-Point Methods by : Stephen J. Wright

Download or read book Primal-Dual Interior-Point Methods written by Stephen J. Wright and published by SIAM. This book was released on 1997-01-01 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the major primal-dual algorithms for linear programming. A thorough, straightforward description of the theoretical properties of these methods.

The Design of Approximation Algorithms

Author : David P. Williamson
Publisher : Cambridge University Press
ISBN 13 : 9780521195270
Total Pages : 518 pages
Book Rating : 4.1/5 (952 download)

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Book Synopsis The Design of Approximation Algorithms by : David P. Williamson

Download or read book The Design of Approximation Algorithms written by David P. Williamson and published by Cambridge University Press. This book was released on 2011-04-26 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete optimization problems are everywhere, from traditional operations research planning problems, such as scheduling, facility location, and network design; to computer science problems in databases; to advertising issues in viral marketing. Yet most such problems are NP-hard. Thus unless P = NP, there are no efficient algorithms to find optimal solutions to such problems. This book shows how to design approximation algorithms: efficient algorithms that find provably near-optimal solutions. The book is organized around central algorithmic techniques for designing approximation algorithms, including greedy and local search algorithms, dynamic programming, linear and semidefinite programming, and randomization. Each chapter in the first part of the book is devoted to a single algorithmic technique, which is then applied to several different problems. The second part revisits the techniques but offers more sophisticated treatments of them. The book also covers methods for proving that optimization problems are hard to approximate. Designed as a textbook for graduate-level algorithms courses, the book will also serve as a reference for researchers interested in the heuristic solution of discrete optimization problems.

שלל צבעים

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (233 download)

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Book Synopsis שלל צבעים by :

Download or read book שלל צבעים written by and published by . This book was released on 1864 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Primal-dual Methods for Linear Programming

Author : Stanford University. Department of Operations Research. Systems Optimization Laboratory
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Primal-dual Methods for Linear Programming by : Stanford University. Department of Operations Research. Systems Optimization Laboratory

Download or read book Primal-dual Methods for Linear Programming written by Stanford University. Department of Operations Research. Systems Optimization Laboratory and published by . This book was released on 1991 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Optimization and Extensions

Author : Manfred Padberg
Publisher : Springer Science & Business Media
ISBN 13 : 3662122731
Total Pages : 521 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Linear Optimization and Extensions by : Manfred Padberg

Download or read book Linear Optimization and Extensions written by Manfred Padberg and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "Do you know M.Padberg's Linear Optimization and Extensions? [...] Now here is the continuation of it, discussing the solutions of all its exercises and with detailed analysis of the applications mentioned. Tell your students about it. [...] For those who strive for good exercises and case studies for LP this is an excellent volume." Acta Scientiarum Mathematicarum

Interior Point Algorithms

Author : Yinyu Ye
Publisher : John Wiley & Sons
ISBN 13 : 1118030958
Total Pages : 440 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Interior Point Algorithms by : Yinyu Ye

Download or read book Interior Point Algorithms written by Yinyu Ye and published by John Wiley & Sons. This book was released on 2011-10-11 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive review of the theory and practice of one oftoday's most powerful optimization techniques. The explosive growth of research into and development of interiorpoint algorithms over the past two decades has significantlyimproved the complexity of linear programming and yielded some oftoday's most sophisticated computing techniques. This book offers acomprehensive and thorough treatment of the theory, analysis, andimplementation of this powerful computational tool. Interior Point Algorithms provides detailed coverage of all basicand advanced aspects of the subject. Beginning with an overview offundamental mathematical procedures, Professor Yinyu Ye movesswiftly on to in-depth explorations of numerous computationalproblems and the algorithms that have been developed to solve them.An indispensable text/reference for students and researchers inapplied mathematics, computer science, operations research,management science, and engineering, Interior Point Algorithms: * Derives various complexity results for linear and convexprogramming * Emphasizes interior point geometry and potential theory * Covers state-of-the-art results for extension, implementation,and other cutting-edge computational techniques * Explores the hottest new research topics, including nonlinearprogramming and nonconvex optimization.

An Iterative Primal-dual Algorithm for Linear Programming

Author : Jan R. Eriksson
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (185 download)

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Book Synopsis An Iterative Primal-dual Algorithm for Linear Programming by : Jan R. Eriksson

Download or read book An Iterative Primal-dual Algorithm for Linear Programming written by Jan R. Eriksson and published by . This book was released on 1985 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Exploring Interior-point Linear Programming

Author : Ami Arbel
Publisher : MIT Press
ISBN 13 : 9780262510738
Total Pages : 250 pages
Book Rating : 4.5/5 (17 download)

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Book Synopsis Exploring Interior-point Linear Programming by : Ami Arbel

Download or read book Exploring Interior-point Linear Programming written by Ami Arbel and published by MIT Press. This book was released on 1993 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides practitioners as well as students of this general methodology with an easily accessible introduction to the new class of algorithms known as interior-point methods for linear programming.

Notes on Linear Programming

Author : George Bernard Dantzig
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (713 download)

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Book Synopsis Notes on Linear Programming by : George Bernard Dantzig

Download or read book Notes on Linear Programming written by George Bernard Dantzig and published by . This book was released on 1956 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Instructions for Use of the Primal-Dual Algorithm for the Solution of Non-Linear Programming Problems with Linear Constraints

Author : Gordon B. Hatfield
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Instructions for Use of the Primal-Dual Algorithm for the Solution of Non-Linear Programming Problems with Linear Constraints by : Gordon B. Hatfield

Download or read book Instructions for Use of the Primal-Dual Algorithm for the Solution of Non-Linear Programming Problems with Linear Constraints written by Gordon B. Hatfield and published by . This book was released on 1974 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instructions for solving the nonlinear problem with linear constraints using the primal-dual method are given. A brief exposition of the problem is followed by instructions concerning program input and output, deck set-up, and some comments on problem strategy.

Linear Inequalities and Related Systems. (AM-38), Volume 38

Author : Harold William Kuhn
Publisher : Princeton University Press
ISBN 13 : 1400881986
Total Pages : 346 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Linear Inequalities and Related Systems. (AM-38), Volume 38 by : Harold William Kuhn

Download or read book Linear Inequalities and Related Systems. (AM-38), Volume 38 written by Harold William Kuhn and published by Princeton University Press. This book was released on 2016-03-02 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Linear Inequalities and Related Systems. (AM-38), Volume 38, will be forthcoming.

Understanding and Using Linear Programming

Author : Jiri Matousek
Publisher : Springer Science & Business Media
ISBN 13 : 3540307176
Total Pages : 230 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Understanding and Using Linear Programming by : Jiri Matousek

Download or read book Understanding and Using Linear Programming written by Jiri Matousek and published by Springer Science & Business Media. This book was released on 2007-07-04 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introductory textbook mainly for students of computer science and mathematics. Our guiding phrase is "what every theoretical computer scientist should know about linear programming". A major focus is on applications of linear programming, both in practice and in theory. The book is concise, but at the same time, the main results are covered with complete proofs and in sufficient detail, ready for presentation in class. The book does not require more prerequisites than basic linear algebra, which is summarized in an appendix. One of its main goals is to help the reader to see linear programming "behind the scenes".