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|a Padberg, Manfred.
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|a Linear Optimization and Extensions
|h [electronic resource] /
|c by Manfred Padberg.
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|a 2nd ed. 1999.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 1999.
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|b online resource.
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|a Algorithms and Combinatorics,
|x 0937-5511 ;
|v 12
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|a Springer eBook Collection
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|a The Linear Programming Problem -- Basic Concepts -- Five Preliminaries -- Simplex Algorithms -- Primal-Dual Pairs -- Analytical Geometry -- Projective Algorithms -- Ellipsoid Algorithms -- Combinatorial Optimization: An Introduction.
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|a I was pleasantly surprised when I was asked by Springer-Verlag to prepare a second edition of this volume on Linear Optimization and Extensions, which - not exactly contrary to my personal expectations - has apparently been accepted reasonably weIl by the global optimization community. My objective in putting this book together was originally - and still is - to detail the major algorithmic ideas in linear optimization that have evolved in the past fifty years or so and that have changed the historical optimization "landscape" in substantial ways - both theoretically and computationally. While I may have overlooked the importance of some very recent developments - the work by Farid Alizadeh which generalizes linear programming to "sem i-definite" programming is perhaps a candidate for one of my omissions - I think that major new breakthraughs on those two fronts that interest me - theory and computation - have not occurred since this book was published originally. As a consequence I have restricted myself to a thorough re-working of the original manuscript with the goal of making it more readable. Of course, I have taken this opportunity to correct a few "Schönheitsfehler" of the first edition and to add some illustrations. The index to this volume has been extended substantially - to permit a hurried reader a quicker glance at the wealth of topics that were covered nevertheless already in the first edition. As was the case with the first edition, Dr.
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|a Loaded electronically.
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|a Electronic access restricted to members of the Holy Cross Community.
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|a Mathematical optimization.
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650 |
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|a Discrete mathematics.
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650 |
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|a Economic theory.
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650 |
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|a Combinatorics.
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|a Operations research.
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|a Decision making.
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|a Calculus of variations.
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