The Fractional Calculus Theory and Applications of Differentiation and Integration to Arbitrary Order (Volume 111) (Mathematics in Science and Engineering, Volume 111) - Hardcover

Hardcover

ISBN 10: 0125255500 ISBN 13: 9780125255509

Publisher: Elsevier Science, 1974

Synopsis

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;
methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and
methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.

As a result, the book represents a blend of new methods in general computational analysis,
and specific, but also generic, techniques for study of systems theory ant its particular
branches, such as optimal filtering and information compression.

- Best operator approximation,
- Non-Lagrange interpolation,
- Generic Karhunen-Loeve transform
- Generalised low-rank matrix approximation
- Optimal data compression
- Optimal nonlinear filtering

About this title

About the Author:

Keith B. Oldham is Professor of Chemistry at Trent University in Ontario, and Jerome Spanier is a research mathematician at the University of California at Irvine.

About this edition

• Publisher: Elsevier Science
• Publication date: 1974
• ISBN 10: 0125255500
• ISBN 13: 9780125255509
• Binding: Hardcover
• Number of pages: 322