Methods of Nonlinear Analysis, Vol. 1 (Mathematics in Science and Engineering Series, Vol. 61) (v. 1)

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9780120849017: Methods of Nonlinear Analysis, Vol. 1 (Mathematics in Science and Engineering Series, Vol. 61) (v. 1)

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.

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Richard Bellman
Published by Academic Press (1970)
ISBN 10: 0120849011 ISBN 13: 9780120849017
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Book Description Academic Press, 1970. Hardcover. Book Condition: New. Bookseller Inventory # DADAX0120849011

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