This volume brings together six papers based on discussions at a Workshop on Polyhedral Computation held at the Centre de Recherches Mathématiques at the U. of Montréal, Canada, in October 2006, as part of the CRM's theme semester on Combinatorial Optimization. Researchers with theoretical and computational expertise in polyhedral computation discuss combinatorial properties of linear program digraphs, combinatorial techniques for monotone generation problems, polyhedral representation conversion up to symmetries, the multi-parametric linear complementarity problem with sufficient matrices, hyperplane arrangements with large average diameter, and the Nash equilibria of rank-1 games. Also included is a previously unpublished technical report from 1980 by Norman Zadeh, who comments on what has yet to be done in the field and gives a simple pivot rule for the simplex method for which it is still unknown if it yields a polynomial time algorithm. There is no index. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com)
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Condizione: New. Many polytopes of practical interest have enormous output complexity and are often highly degenerate, posing severe difficulties for known general-purpose algorithms. This title contains the papers that give a snapshot of the ideas discussed at a Workshop on Polyhedral Computation held at the CRM in Montreal in October 2006. Editor(s): Avis, David; Bremner, David; Deza, Antoine. Series: CRM Proceedings & Lecture Notes. Num Pages: 147 pages, Illustrations (some col.). BIC Classification: PBM; PBP. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Weight in Grams: 308. . 2009. Paperback. . . . . Codice articolo V9780821846339
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Condizione: New. Many polytopes of practical interest have enormous output complexity and are often highly degenerate, posing severe difficulties for known general-purpose algorithms. This title contains the papers that give a snapshot of the ideas discussed at a Workshop on Polyhedral Computation held at the CRM in Montreal in October 2006. Editor(s): Avis, David; Bremner, David; Deza, Antoine. Series: CRM Proceedings & Lecture Notes. Num Pages: 147 pages, Illustrations (some col.). BIC Classification: PBM; PBP. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Weight in Grams: 308. . 2009. Paperback. . . . . Books ship from the US and Ireland. Codice articolo V9780821846339
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Paperback. Condizione: New. Many polytopes of practical interest have enormous output complexity and are often highly degenerate, posing severe difficulties for known general-purpose algorithms. They are, however, highly structured, and attention has turned to exploiting this structure, particularly symmetry. Initial applications of this approach have permitted computations previously far out of reach, but much remains to be understood and validated experimentally. The papers in this volume give a good snapshot of the ideas discussed at a Workshop on Polyhedral Computation held at the CRM in Montreal in October 2006 and, with one exception, the current state of affairs in this area. The exception is the inclusion of an often cited 1980 technical report of Norman Zadeh, which was never published in a journal and has passed into the folklore of the discipline. This paper illustrates beautifully the work still to be done in the field: it gives a simple pivot rule for the simplex method for which it is still unknown if it yields a polynomial time algorithm. Codice articolo LU-9780821846339
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Paperback. Condizione: New. Many polytopes of practical interest have enormous output complexity and are often highly degenerate, posing severe difficulties for known general-purpose algorithms. They are, however, highly structured, and attention has turned to exploiting this structure, particularly symmetry. Initial applications of this approach have permitted computations previously far out of reach, but much remains to be understood and validated experimentally. The papers in this volume give a good snapshot of the ideas discussed at a Workshop on Polyhedral Computation held at the CRM in Montreal in October 2006 and, with one exception, the current state of affairs in this area. The exception is the inclusion of an often cited 1980 technical report of Norman Zadeh, which was never published in a journal and has passed into the folklore of the discipline. This paper illustrates beautifully the work still to be done in the field: it gives a simple pivot rule for the simplex method for which it is still unknown if it yields a polynomial time algorithm. Codice articolo LU-9780821846339
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