Theory of Difference Equations: Numerical Methods and Applications

Lakshmikantham, V.; Trigiante, Donato;

ISBN 10: 0124341004 / ISBN 13: 9780124341005

Editore: Academic Press, New York, NY, 1988

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242 pp. Tightly bound. Corners not bumped. Text is free of markings. Codice articolo 011862

Dati bibliografici

Titolo: Theory of Difference Equations: Numerical ...

Casa editrice: Academic Press, New York, NY

Data di pubblicazione: 1988

Legatura: Cloth

Condizione: Fine

Condizione sovraccoperta: Published Without Dust Jacket

Descrizione articolo

Riassunto:

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