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Mathematical Analysis - General & Miscellaneous, Geometry - General & Miscellaneous, Mathematical Programming & Operations Research
Simplicial Algorithms for Minimizing Polyhedral Functions by M. R. Osborne β€” book cover

Simplicial Algorithms for Minimizing Polyhedral Functions

by M. R. Osborne
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Overview

This book provides the first general account of the development of simplicial algorithms. These include the ubiquitous simplex method of linear programming widely used in industrial optimization and strategic decision making and methods important in data analysis, such as problems involving very large data sets. The theoretical development is based on a new way of representing the underlying geometry of polyhedra functions (functions whose graphs are made up of plane faces), and is capable of resolving problems that occur when combinatorially large numbers of faces intersect at each vertex.

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Editorials

From the Publisher

Review of the hardback: '… will be very useful to researchers and students in the field … will certainly serve as a standard reference on the subject for a long time.' Numerical Algorithms

Review of the hardback: 'The book has a rich content and can be recommended to all optimizers, it is even a good supplement for specialists.' Alfred GΓΆpfert, Zentralblatt fΓΌr Mathematik

Review of the hardback: 'The treatment is mathematical (definition, lemma, theorem, proof type of text) but attention is paid to algorithms and practical implementation aspects too. It is easy to read and a reference book for novice students as well as for implementors of the methods.' Bulletin of the Belgian Mathematical Society

Book Details

Published
September 15, 2011
Publisher
Cambridge University Press
Pages
262
Format
Paperback
ISBN
9781107403505

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