Titolo: Parallel Optimization: Theory, Algorithms, and Applications (Numerical Mathematics and Scientific Computation)
Editore: Oxford University Press
Data di pubblicazione: 1998
Lingua: Inglese
ISBN 10: 019510062X
ISBN 13: 9780195100624
Rilegatura: Rilegato
Condizione: New

Descrizione articolo

Riassunto

This book offers a unique pathway to methods of parallel optimization by introducing parallel computing ideas and techniques into both optimization theory, and into some numerical algorithms for large-scale optimization problems. The presentation is based on the recent understanding that rigorous mathematical analysis of algorithms, parallel computing techniques, and "hands-on" experimental work on real-world problems must go hand in hand in order to achieve the greatest advantage from novel parallel computing architectures. The three parts of the book thus bring together relevant theory, careful study of algorithms, and modelling of significant real world problems. The problem domains include: image reconstruction, radiation therapy treatment planning, transportation problems, portfolilo management, and matrix estimation. This text can be used both as a reference for researchers and as a text for advanced graduate courses.

Contenuti

Foreword
Preface
Glossary of Symbols
1: Introduction
Part I Theory
2: Generalized Distances and Generalized Projections
3: Proximal Minimization with D-Functions
Part II Algorithms
4: Penalty Methods, Barrier Methods and Augmented Lagrangians
5: Iterative Methods for Convex Feasibility Problems
6: Iterative Algorithms for Linearly Constrained Optimization Problems
7: Model Decomposition Algorithms
8: Decompositions in Interior Point Algorithms
Part III Applications
9: Matrix Estimation Problems
10: Image Reconsturction from Projections
11: The Inverse Problem in Radiation Therapy Treatment Planning
12: Multicommodity Network Flow Problems
13: Planning Under Uncertainty
14: Decompositions for Parallel Computing
15: Numerical Investigations

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