Theory of Difference Equations: Numerical Methods and Applications (Mathematics in Science and Engineering)

Lakshmikantham, V. and Donato Trigiante:

ISBN 10: 0124341004 / ISBN 13: 9780124341005

Editore: Academic Press Inc 01.04.1988., 1988

Riguardo questo articolo

322 Seiten ex Library Book aus einer wissenschafltichen Bibliothek Sprache: Englisch Gewicht in Gramm: 969 23,5 x 15,9 x 2,5 cm, Gebundene Ausgabe.

Codice articolo 335613

Dati bibliografici

• Titolo: Theory of Difference Equations: Numerical Methods and Applications (Mathematics in Science and Engineering)
• Editore: Academic Press Inc 01.04.1988.
• Data di pubblicazione: 1988
• Lingua: Inglese
• ISBN 10: 0124341004
• ISBN 13: 9780124341005
• Rilegatura: Rilegato
• Condizione: Gut
• Cataloghi dei venditori:
  • Alle Bücher

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