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Könyv Simplicial Algorithms for Minimizing Polyhedral Functions M. R. Osborne

Simplicial Algorithms for Minimizing Polyhedral Functions

Szerző: M. R. Osborne
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Cambridge University Press
Elérhetőség: Beszállítói készleten
Küldés 9-15 napon belül
19 973 Ft
Polyhedral functions provide a model for an important class of problems that includes both linear pr...

Információk a könyvről

Szerző
M. R. Osborne
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2011
oldal
262
EAN
9781107403505
ISBN
1107403502
Enbook ID
02051324
Kiadó
Cambridge University Press
Súly
390
Méretek
152 x 229 x 15

Teljes leírás

Polyhedral functions provide a model for an important class of problems that includes both linear programming and applications in data analysis. General methods for minimizing such functions using the polyhedral geometry explicitly are developed. Such methods approach a minimum by moving from extreme point to extreme point along descending edges and are described generically as simplicial. The best-known member of this class is the simplex method of linear programming, but simplicial methods have found important applications in discrete approximation and statistics. The general approach considered in this text, first published in 2001, has permitted the development of finite algorithms for the rank regression problem. The key ideas are those of developing a general format for specifying the polyhedral function and the application of this to derive multiplier conditions to characterize optimality. Also considered is the application of the general approach to the development of active set algorithms for polyhedral function constrained problems and associated Lagrangian forms.

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