Fractional Calculus (Mathematics in Science and Engineering, Vol. 111)

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9780125255509: Fractional Calculus (Mathematics in Science and Engineering, Vol. 111)

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

"synopsis" may belong to another edition of 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 title" may belong to another edition of this title.

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Keith B. Oldham, Jerome Spanier
Published by Elsevier Science (1974)
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Keith B. Oldham; Jerome Spanier
Published by Elsevier Science (1974)
ISBN 10: 0125255500 ISBN 13: 9780125255509
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