Sinossi
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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
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
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Parallel Optimization: Theory, Algorithms, and Applications
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Condizione: Gut. Zustand: Gut | Seiten: 576 | Sprache: Englisch | Produktart: Bücher | Recent technological innovations with the introduction of parallel computer architectures are having a significant impact on every area of scientific computing where large-scale problems are attacked. This comprehensive book provides an introduction to th methods of parallel optimization by introducing parallel computing ideas and techniques into both optimization theory and numerical algorithms for large-scale optimization problems. It also examines significant, broad areas of application in fields as diverse as finance, biomedical and transportation where the problems are particularly suitable for solution on parallel machines, and where substantial progress has been made in recent years with the application of parallel optimization algorithms. The material presented in this book leads to implementable parallel algorithms that have undergone the scrutiny of implementation on a variety of parallel architectures. Codice articolo 1362819/203
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Parallel optimization theory, algorithms, and applications Yair Censor, Stavros A. Zenios.
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Parallel Optimization: Theory, Algorithms, and Applications (Numerical Mathematics and Scientific Computation)
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Parallel Optimization : Theory, Algorithms, and Applications
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