Control Perspectives on Numerical Algorithms and Matrix Problems.

Control Perspectives on Numerical Algorithms and Matrix Problems.

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Bibliographic Details
Author / Creator:	Bhaya, Amit, author.
Imprint:	Philadelphia : Society for Industrial and Applied Mathematics Jan. 2006.
Description:	1 online resource (298 pages) illustrations
Language:	English
Series:	Advances in Design and Control Ser. Advances in Design and Control Ser.
Subject:	Control theory. Numerical analysis. Algorithms. Mathematical optimization. Matrices. Algorithms Algorithms. Control theory. Mathematical optimization. Matrices. Numerical analysis.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/12577261

Hidden Bibliographic Details
Other authors / contributors:	Kaszkurewicz, Eugenius, author.
ISBN:	9780898716023 0898716020
Summary:	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.
Target Audience:	College Audience Society for Industrial and Applied Mathematics.

Table of Contents:

Preface
1. Brief review of control and stability theory
2. Algorithms as dynamical systems with feedback
3. Optimal control and variable structure design of iterative methods
4. Neural-gradient dynamical systems for linear and quadratic programming problems
5. Control tools in the numerical solution of ordinary differential equations and in matrix problems
6. Epilogue
Bibliography
Index