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Programming Control Perspectives on Numerical Algorithms And Matrix Problems (Advances in Design and Control)

Posted on 2010-03-16




Name:Programming Control Perspectives on Numerical Algorithms And Matrix Problems (Advances in Design and Control)
ASIN/ISBN:0898716020
Language:English
File size:3.4 Mb
ISBN: 0898716020
Publish Date: March 13, 2006
File Type: PDF (OCR)
Pages: 272 pages
File Size: 13211 KB
Other Info: Society for Industrial and Applied Mathematic
   Programming Control Perspectives on Numerical Algorithms And Matrix Problems (Advances in Design and Control)



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Control Perspectives on Numerical Algorithms And Matrix Problems (Advances in Design and Control): Eugenius Kaszkurewicz Amit Bhaya

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.

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.

Book Description

This book organizes the analysis and design of iterative numerical methods from a control perspective. A variety of applications are discussed, including iterative methods for linear and nonlinear systems of equations, neural networks for linear and quadratic programming problems and integration and shooting methods for ordinary differential equations.

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