Computational Methods for Modeling of Nonlinear Systems by Anatoli Torokhti and Phil Howlett

Computational Methods for Modeling of Nonlinear Systems by Anatoli Torokhti and Phil Howlett

by Anatoli Torokhti, Phil Howlett
     
 

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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… See more details below

Overview

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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Product Details

ISBN-13:
9780080475387
Publisher:
Elsevier Science
Publication date:
04/11/2007
Series:
Mathematics in Science and Engineering , #212
Sold by:
Barnes & Noble
Format:
NOOK Book
Pages:
322
File size:
12 MB
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