Functional Analysis in Modern Applied Mathematics Cover

Functional Analysis in Modern Applied Mathematics

ISBN/ASIN: 0121962504,9780121962500 | 1977 | English | pdf | 322/174 pages | 8.15 Mb
Publisher: Elsevier Science | Author: Ruth F Curtain, AJ Pritchard | Edition: First Edition

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

Functional Analysis in Modern Applied Mathematics

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