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Control Perspectives on Numerical Algorithms and Matrix Problems Control Perspectives on Numerical Algorithms and Matrix Problems

Amit Bhaya and Eugenius Kaszkurewicz



Advances in Design and Control 10

Control Perspectives on Numerical Algorithms and Matrix Problems organizes the analysis and design of iterative numerical methods from a control perspective. The authors discuss a variety of applications, including iterative methods for linear and nonlinear systems of equations, neural networks for linear and quadratic programming problems, support vector machines, integration and shooting methods for ordinary differential equations, matrix preconditioning, matrix stability, and polynomial zero finding.

This book opens up a new field of interdisciplinary research that should lead to insights in the areas of both control and numerical analysis and shows that a wide range of applications can be approached from—and benefit from—a control perspective.

Audience

Control Perspectives on Numerical Algorithms and Matrix Problems is intended for researchers in applied mathematics and control as well as senior undergraduate and graduate students in both of these fields. Engineers and scientists who design algorithms on a heuristic basis and are looking for a framework may also be interested in the book.

About the Authors

Amit Bhaya is Professor of Electrical Engineering at the Graduate School of Engineering, Federal University of Rio de Janeiro (COPPE/UFRJ). He is coauthor of Matrix Diagonal Stability in Systems and Computation (Birkhäüser, 2000) and works in the areas of systems and control theory, parallel computation, neural networks, matrix stability theory, and mathematical ecology.

Eugenius Kaszkurewicz is Professor of Electrical Engineering at the Graduate School of Engineering, Federal University of Rio de Janeiro (COPPE/UFRJ). He is coauthor of Matrix Diagonal Stability in Systems and Computation (Birkhäüser, 2000) and works in the areas of stability theory, large-scale systems stability and control, parallel computation, neural networks, and matrix stability theory. He is an elected member of the Brazilian Academy of Sciences and served for several years as Associate Editor of Automatica, the journal of the International Federation of Automatic Control.

Contents
List of Figures
List of Tables
Preface
Chapter 1: Brief Review of Control and Stability Theory
Chapter 2: Algorithms as Dynamical Systems with Feedback
Chapter 3: Optimal Control and Variable Structure Design of Iterative Methods
Chapter 4: Neural-Gradient Dynamical Systems for Linear and Quadratic Programming Problems
Chapter 5: Control Tools in the Numerical Solution of Ordinary Differential Equations and in Matrix Problems
Chapter 6: Epilogue
Bibliography
Index

See Sample Chapter:
http://www.siam.org/books/textbooks/dc10sample.pdf

To request an examination copy or desk copy of this book, please use our online request form at www.siam.org/catalog/adopt.php.

2006 / xxvi+272 pages / Softcover / ISBN-13: 978-0-898716-02-3 / ISBN-10: 0-89871-602-0 /
List Price $108.50 / SIAM Member Price $75.95 / Order Code DC10
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