Functional analysis in modern applied mathematics / Curtain, Ruth F

Public ISBD Titre : Functional analysis in modern applied mathematics Type de document : texte imprimé Auteurs : Curtain, Ruth F, Auteur ; Anthony J Pritchard, Auteur Editeur : London:Academic press Année de publication : 1977 Importance : 1 vol (339 p.) Format : 24 cm ISBN/ISSN/EAN : 978-0-12-196250-0 Note générale : 0-12-196250-4 Langues : Anglais (eng) Catégories : Mathématique Mots-clés : Mathématique:analyse Index. décimale : 515-Analyse mathèmatique Résumé : 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 Côte titre : Fs/14389 Functional analysis in modern applied mathematics [texte imprimé] / Curtain, Ruth F, Auteur ; Anthony J Pritchard, Auteur . - [S.l.] : London:Academic press, 1977 . - 1 vol (339 p.) ; 24 cm. ISBN : 978-0-12-196250-0 0-12-196250-4 Langues : Anglais (eng) Catégories : Mathématique Mots-clés : Mathématique:analyse Index. décimale : 515-Analyse mathèmatique Résumé : 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 Côte titre : Fs/14389

Exemplaires (1)

Code-barres	Cote	Support	Localisation	Section	Disponibilité
Fs/14389	Fs/14389	livre	Bibliothéque des sciences	Anglais	Disponible Disponible

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