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Computational Methods for Modeling of Nonlinear Systems: v. 81 (Mathematics in Science & Engineering) - Hardcover

 
9780121189501: Computational Methods for Modeling of Nonlinear Systems: v. 81 (Mathematics in Science & Engineering)

Inhaltsangabe

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. This book covers: best operator approximation, non-Lagrange interpolation, generic Karhunen-Loeve transform, generalised low-rank matrix approximation, optimal data compression, and optimal nonlinear filtering.

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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

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1st 1971. Very good condition in...
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Boudarel, R. & Delmas, J. & Guichet, P.
Verlag: Academic Press, 1971
ISBN 10: 0121189503 ISBN 13: 9780121189501
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Hardback. Zustand: Very Good. Zustand des Schutzumschlags: Very Good. First edition. 1st 1971. Very good condition in a very good dustwrapper. Mathematics in Science and Engineering Volume 81. A lucid and intuitively appealing introduction to modern optimal control theory. Burgundy cloth boards, gilt titles. xiv and 252 pages including index. Minor foxing to endpapers and text block. Contents fine. Dustwrapper is scuffed. Packaged with care and promptly dispatched! Artikel-Nr. 1811757

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