Functional Analysis in Modern Applied Mathematics.

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

ISBN 10: 0121962504 / ISBN 13: 9780121962500

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

A propos de cet article

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].

N° de réf. du vendeur 52747

Détails bibliographiques

• Titre: Functional Analysis in Modern Applied Mathematics.
• Éditeur: New York/London: Academic Press (Mathematics in Science & Engineering, Vol. 132)
• Date de parution: 1977
• Langue: anglais
• ISBN à 10 chiffres: 0121962504
• ISBN à 13 chiffres: 9780121962500
• Reliure: Couverture rigide
• Édition: Edition originale
• État de l'article: Akzeptabel
• Poids: 800 grammes
• Catalogues du vendeur:
  • Mathematik

A propos de ce titre

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. This book covers: best operator approximation, non-Lagrange interpolation, generic Karhunen-Loeve transform, generalised low-rank matrix approximation, optimal data compression, and optimal nonlinear filtering.