A Note on the Primal-dual Affine Scaling Algorithms PDF Download
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Author: Levent Tuncel
Publisher:
ISBN:
Category :
Languages : en
Pages : 32
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Book Description
Author: Levent Tuncel
Publisher:
ISBN:
Category :
Languages : en
Pages : 32
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Book Description
Author: Stephen J. Wright
Publisher: SIAM
ISBN: 089871382X
Category : Technology & Engineering
Languages : en
Pages : 293
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Book Description
Presents the major primal-dual algorithms for linear programming. A thorough, straightforward description of the theoretical properties of these methods.
Author: G. Zhao
Publisher:
ISBN:
Category :
Languages : en
Pages : 11
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 19
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Book Description
Author: Benjamin Jansen
Publisher:
ISBN:
Category :
Languages : en
Pages : 30
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Book Description
Author: E. de Klerk
Publisher:
ISBN:
Category :
Languages : en
Pages : 36
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Author: Jos Fredrik Sturm
Publisher:
ISBN:
Category :
Languages : en
Pages : 22
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Book Description
Author: Nimrod Megiddo
Publisher: Springer Science & Business Media
ISBN: 1461396174
Category : Mathematics
Languages : en
Pages : 164
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Book Description
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."
Author: Romesh Salgal
Publisher:
ISBN:
Category :
Languages : en
Pages : 21
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Book Description
Author: Stephen J. Wright
Publisher: SIAM
ISBN: 9781611971453
Category : Interior-point methods
Languages : en
Pages : 309
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Book Description
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.
