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Degeneracy Graphs and Simplex Cycling de Peter Zörnig

Degeneracy Graphs and Simplex Cycling: Lecture Notes in Economics and Mathematical Systems, cartea 357

Autor Peter Zörnig
en Limba Engleză Paperback – 13 noi 1991

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Specificații

ISBN-13: 9783540545934
ISBN-10: 354054593X
Pagini: 216
Ilustrații: XVI, 196 p.
Dimensiuni: 170 x 244 x 11 mm
Greutate: 0.35 kg
Ediția:Softcover reprint of the original 1st ed. 1991
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Economics and Mathematical Systems

Locul publicării:Berlin, Heidelberg, Germany

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Research

Cuprins

1. Introduction.- 2. Degeneracy problems in mathematical optimization.- 2.1. Convergence problems in the case of degeneracy.- 2.2 Efficiency problems in the case of degeneracy.- 2.3 Degeneracy problems within the framework of postoptimal analysis.- 2.4. On the practical meaning of degeneracy.- 3. Theory of degeneracy graphs.- 3.1. Fundamentals.- 3.2 Theory of ? × n-degeneracy graphs.- 3.3. Theory of 2 × n-degeneracy graphs.- 4. Concepts to explain simplex cycling.- 4.1. Specification of the question.- 4.2 A pure graph theoretical approach.- 4.3 Geometrically motivated approaches.- 4.4 A determinant approach.- 5. Procedures for constructing cycling examples.- 5.1 On the practical use of constructed cycling examples.- 5.2 Successive procedures for constructing cycling examples.- 5.3 On the construction of general cycling examples.- A. Foundations of linear algebra and the theory of convex polytopes.- B. Foundations of graph theory.- C. Problems in the solution of determinant inequality systems.- References.