Simplicial Algorithms for Minimizing Polyhedral Functions
By (author) M. R. Osborne
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Simplicial Algorithms for Minimizing Polyhedral Functions by M. R. Osborne
Book DescriptionPolyhedral 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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Book DetailsISBN: 9780521791335
(228mm x 152mm x 19mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 8-Jan-2001
Country of Publication: United Kingdom
Books By Author M. R. Osborne
Simplicial Algorithms for Minimizing Polyhedral Functions, Paperback (September 2011)» View all books by M. R. Osborne
This book, first published in 2001, provides a general account of the development of simplicial algorithms.
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