Control Perspectives on Numerical Algorithms and Matrix Problems

This book organizes the analysis and design of iterative numerical methods from a control perspective.

Amit Bhaya (Author), Eugenius Kaszkurewicz (Author)

9780898716023

Paperback / softback, published 30 May 2006

298 pages
25.5 x 18 x 1.5 cm, 0.516 kg

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.

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.

Subject Areas: Miscellaneous items [WZ]