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Mathematical developments arising from linear programming : proceedings of a joint summer research conference held at Bowdoin College, June 25-July 1, 1988 / / Jeffrey C. Lagarias and Michael J. Todd, editors



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Titolo: Mathematical developments arising from linear programming : proceedings of a joint summer research conference held at Bowdoin College, June 25-July 1, 1988 / / Jeffrey C. Lagarias and Michael J. Todd, editors Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [1990]
©1990
Descrizione fisica: 1 online resource (360 p.)
Disciplina: 519.7/2
Soggetto topico: Programming (Mathematics)
Linear programming
Soggetto genere / forma: Electronic books.
Persona (resp. second.): LagariasJeffrey C. <1949->
ToddMichael J. <1947->
Note generali: "The AMS-IMS-SIAM Joint Summer Research Conference on Mathematical Developments Arising from Linear Programming was held at Bowdoin College, Brunswick, Maine, on June 25-July 1, 1988"--T.p. verso.
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: ""Contents""; ""1. Recent Progress and New Directions""; ""Some Recent Results on Convex Polytopes""; ""Probabilistic Analysis of the Simplex Method""; ""On Solving the Linear Programming Problem Approximately""; ""Riemannian Geometry Underlying Interior-Point Methods for Linear Programming""; ""Steepest Descent, Linear Programming, and Hamiltonian Flows""; ""2. Interior-Point Methods for Linear Programming""; ""An O(n3 L) Potential Reduction Algorithm for Linear Programming""; ""I. I. Dikin's Convergence Result for the Affine-Scaling Algorithm""
""Phase I Search Directions for a Primal-Dual Interior Point Method for Linear Programming""""Some Results Concerning Convergence of the Affine Scaling Algorithm""; ""Dual Ellipsoids and Degeneracy in the Projective Algorithm for Linear Programming""; ""A Note on Limiting Behavior of the Projective and the Affine Rescaling Algorithms""; ""3. Trajectories of Interior-Point Methods""; ""On the Convergence Behavior of Trajectories for Linear Programming""; ""Limiting Behavior of the Affine Scaling Continuous Trajectories for Linear Programming Problems""
""Convergence and Boundary Behavior of the Projective Scaling Trajectories for Linear Programming""""4. Nonlinear Optimization""; ""On the Complexity of a Numerical Algorithm for Solving Generalized Convex Quadratic Programs by Following a Central Path""; ""Canonical Problems for Quadratic Programming and Projective Methods for Their Solution""; ""An Interior Point Algorithm for Solving Smooth Convex Programs Based on Newton's Method""; ""A Modified Kantorovich Inequality for the Convergence of Newton's Method""; ""5. Integer Programming and Multi-Objective Programming""
""An Interior-Point Approach to NP-comp1ete Problems�Part I""""Solving Matching Problems Using Karmarkar's Algorithm""; ""Efficient Faces of Polytopes: Interior Point Algorithms, Parameterizationof Algebraic Varieties, and Multiple Objective Optimization""
Titolo autorizzato: Mathematical developments arising from linear programming  Visualizza cluster
ISBN: 0-8218-7702-X
0-8218-5121-7
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910480933503321
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Serie: Contemporary mathematics (American Mathematical Society) ; ; 114.