Parallel Optimization: Theory, Algorithms and Applications

Author:   Yair Censor (Professor, Department of Mathematics and Computer Science, University of Haifa, Professor, Department of Mathematics and Computer Science, University of Haifa, Israel) ,  Stavros A. Zenios (Professor, Dean, School of Economics and Management, Professor, Dean, School of Economics and Management, University of Cyprus)
Publisher:   Oxford University Press Inc
ISBN:  

9780195100624


Pages:   576
Publication Date:   12 March 1998
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Parallel Optimization: Theory, Algorithms and Applications


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Overview

This book offers a unique pathway to methods of parallel optimization by introducing parallel computing ideas into both optimization theory and into some numerical algorithms for large-scale optimization problems. The three parts of the book bring together relevant theory, careful study of algorithms, and modeling of significant real world problems such as image reconstruction, radiation therapy treatment planning, financial planning, transportation and multi-commodity network flow problems, planning under uncertainty, and matrix balancing problems.

Full Product Details

Author:   Yair Censor (Professor, Department of Mathematics and Computer Science, University of Haifa, Professor, Department of Mathematics and Computer Science, University of Haifa, Israel) ,  Stavros A. Zenios (Professor, Dean, School of Economics and Management, Professor, Dean, School of Economics and Management, University of Cyprus)
Publisher:   Oxford University Press Inc
Imprint:   Oxford University Press Inc
Dimensions:   Width: 23.40cm , Height: 3.10cm , Length: 15.70cm
Weight:   0.836kg
ISBN:  

9780195100624


ISBN 10:   019510062
Pages:   576
Publication Date:   12 March 1998
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

George B. Dantzig: Foreword Preface Acknowledgments Glossary of Symbols 1: Introduction PART I. THEORY 2: Generalized Distances and Generalized Projections 3: Proximal Minimization with D-Functions 4: Penalty Methods, Barrier Methods and Augmented Lagrangians PART II. ALGORITHMS 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 Reconstruction 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

Reviews

This book presents a domain that arises where two different branches of science, namely parallel computations and the theory of constrained optimization, intersect with real life problems. This domain, called parallel optimization, has been developing rapidly under the stimulus of progress in computer technology. The book focuses on parallel optimization methods for large-scale constrained optimization problems and structured linear problems. . . . [It] covers a vast portion of parallel optimization, though full coverage of this domain, as the authors admit, goes far beyond the capacity of a single monograph. This book, however, in over 500 pages brings an excellent and in-depth presentation of all the major aspects of a process which matches theory and methods of optimization with modern computers. The volume can be recommended for graduate students, faculty, and researchers in any of those fields. --Mathematical Reviews<br>


This book presents a domain that arises where two different branches of science, namely parallel computations and the theory of constrained optimization, intersect with real life problems. This domain, called parallel optimization, has been developing rapidly under the stimulus of progress in computer technology. The book focuses on parallel optimization methods for large-scale constrained optimization problems and structured linear problems. . . . [It] covers a vast portion of parallel optimization, though full coverage of this domain, as the authors admit, goes far beyond the capacity of a single monograph. This book, however, in over 500 pages brings an excellent and in-depth presentation of all the major aspects of a process which matches theory and methods of optimization with modern computers. The volume can be recommended for graduate students, faculty, and researchers in any of those fields. --Mathematical Reviews This book presents a domain that arises where two different branches of science, namely parallel computations and the theory of constrained optimization, intersect with real life problems. This domain, called parallel optimization, has been developing rapidly under the stimulus of progress in computer technology. The book focuses on parallel optimization methods for large-scale constrained optimization problems and structured linear problems. . . . [It] covers a vast portion of parallel optimization, though full coverage of this domain, as the authors admit, goes far beyond the capacity of a single monograph. This book, however, in over 500 pages brings an excellent and in-depth presentation of all the major aspects of a process which matches theory and methods of optimization with modern computers. The volume can be recommended for graduate students, faculty, and researchers in any of those fields. --Mathematical Reviews


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