Functional Analysis in Modern Applied Mathematics.

Curtain, Ruth F. / Pritchard, Anthony J. -

ISBN 10: 0121962504 / ISBN 13: 9780121962500

Published by New York/London: Academic Press (Mathematics in Science & Engineering, Vol. 132), 1977

About this Item

Formateinband: Leinen / gebundene Ausgabe IX, 339 S. (24 cm) 1st Edition; Leinenband; Außen leicht gealtert und am Schnitt etwas stockfleckig; Namenseintrag auf 4. Seite; sonst in gutem Zustand. Sprache: Englisch Gewicht in Gramm: 800 [Stichwörter: Funktionalanalysis, Angewandte Mathematik / Basic functional analysis, Analysis of abstract equations, Differential equations, Special theory and applications, Stability theoryl, Linear systems theory, Optimization problems, Numerical methods, Infinite dimensional linear system theory].

Seller Inventory # 52747

Bibliographic Details

• Title: Functional Analysis in Modern Applied Mathematics.
• Publisher: New York/London: Academic Press (Mathematics in Science & Engineering, Vol. 132)
• Publication Date: 1977
• Language: English
• ISBN 10: 0121962504
• ISBN 13: 9780121962500
• Binding: Hardcover
• Edition: 1st Edition
• Condition: Akzeptabel
• Weight: 800 grams
• Seller catalogs:
  • Mathematik

About this title

Synopsis

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