New York: Academic Press, 1970. Very Good EX-LIBRARY. WITHDRAWN stamp, and a few other library markings, mostly on the endpapers. Clean, square, and tight. NO highlighting. NO underlining. NO margin notes. Hardcover. First Edition. Includes chapters by George A. Baker, Jr.; P.W. Langhoff and M. Karplus; J.S.R. Chisholm; D. Masson; A.K. Common; W.R. Wortman; etc. Illustrated with figures, diagrams, and many equations. Tables. Graphs. Bibliographical references. Author Index. Subject Index. Bound in the original maroon cloth, lettered in shiny gold on the spine and front cover. Volume 71 in the series: Mathematics in Science and Engineering. First Edition. Hardcover. Very Good EX-LIBRARY/No jacket. 8vo. xii, 378pp.

Bestandsnummer des Verk�ufers 015503

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Bibliografische Details

Titel

The Pade Approximant in Theoretical Physics [Pad� Approximant]

Verlag

Academic Press, New York

Erscheinungsjahr

1970

Sprache

Englisch

ISBN-10

0120748509

ISBN-13

9780120748501

Einband

Hardcover

Auflage

First Edition.

Zustand

Very Good EX-LIBRARY

Zustand des Schutzumschlags

No jacket

Verk�uferkataloge

Physics

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Inhaltsangabe

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.

Rese�a del editor

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

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