Author: Claude Brezinski
Publisher: Springer Nature
ISBN: 3030584186
Category : Mathematics
Languages : en
Pages : 410
Book Description
This book paints a fresco of the field of extrapolation and rational approximation over the last several centuries to the present through the works of their primary contributors. It can serve as an introduction to the topics covered, including extrapolation methods, Padé approximation, orthogonal polynomials, continued fractions, Lanczos-type methods etc.; it also provides in depth discussion of the many links between these subjects. A highlight of this book is the presentation of the human side of the fields discussed via personal testimonies from contemporary researchers, their anecdotes, and their exclusive remembrances of some of the “actors.” This book shows how research in this domain started and evolved. Biographies of other scholars encountered have also been included. An important branch of mathematics is described in its historical context, opening the way to new developments. After a mathematical introduction, the book contains a precise description of the mathematical landscape of these fields spanning from the 19th century to the first part of the 20th. After an analysis of the works produced after that period (in particular those of Richardson, Aitken, Shanks, Wynn, and others), the most recent developments and applications are reviewed.
Extrapolation and Rational Approximation
Author: Claude Brezinski
Publisher: Springer Nature
ISBN: 3030584186
Category : Mathematics
Languages : en
Pages : 410
Book Description
This book paints a fresco of the field of extrapolation and rational approximation over the last several centuries to the present through the works of their primary contributors. It can serve as an introduction to the topics covered, including extrapolation methods, Padé approximation, orthogonal polynomials, continued fractions, Lanczos-type methods etc.; it also provides in depth discussion of the many links between these subjects. A highlight of this book is the presentation of the human side of the fields discussed via personal testimonies from contemporary researchers, their anecdotes, and their exclusive remembrances of some of the “actors.” This book shows how research in this domain started and evolved. Biographies of other scholars encountered have also been included. An important branch of mathematics is described in its historical context, opening the way to new developments. After a mathematical introduction, the book contains a precise description of the mathematical landscape of these fields spanning from the 19th century to the first part of the 20th. After an analysis of the works produced after that period (in particular those of Richardson, Aitken, Shanks, Wynn, and others), the most recent developments and applications are reviewed.
Publisher: Springer Nature
ISBN: 3030584186
Category : Mathematics
Languages : en
Pages : 410
Book Description
This book paints a fresco of the field of extrapolation and rational approximation over the last several centuries to the present through the works of their primary contributors. It can serve as an introduction to the topics covered, including extrapolation methods, Padé approximation, orthogonal polynomials, continued fractions, Lanczos-type methods etc.; it also provides in depth discussion of the many links between these subjects. A highlight of this book is the presentation of the human side of the fields discussed via personal testimonies from contemporary researchers, their anecdotes, and their exclusive remembrances of some of the “actors.” This book shows how research in this domain started and evolved. Biographies of other scholars encountered have also been included. An important branch of mathematics is described in its historical context, opening the way to new developments. After a mathematical introduction, the book contains a precise description of the mathematical landscape of these fields spanning from the 19th century to the first part of the 20th. After an analysis of the works produced after that period (in particular those of Richardson, Aitken, Shanks, Wynn, and others), the most recent developments and applications are reviewed.
Extrapolation and Rational Approximation
Author:
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 498
Book Description
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 498
Book Description
Interpolation and Approximation by Rational Functions in the Complex Domain
Author: J. L. Walsh
Publisher: American Mathematical Soc.
ISBN: 0821810200
Category : Mathematics
Languages : en
Pages : 418
Book Description
The present work is restricted to the representation of functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned, the sequences being defined either by interpolation or by extremal properties (i.e. best approximation). Taylor's series plays a central role in this entire study, for it has properties of both interpolation and best approximation, and serves as a guide throughout the whole treatise. Indeed, almost every result given on the representation of functions is concerned with a generalization either of Taylor's series or of some property of Taylor's series--the title ``Generalizations of Taylor's Series'' would be appropriate.
Publisher: American Mathematical Soc.
ISBN: 0821810200
Category : Mathematics
Languages : en
Pages : 418
Book Description
The present work is restricted to the representation of functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned, the sequences being defined either by interpolation or by extremal properties (i.e. best approximation). Taylor's series plays a central role in this entire study, for it has properties of both interpolation and best approximation, and serves as a guide throughout the whole treatise. Indeed, almost every result given on the representation of functions is concerned with a generalization either of Taylor's series or of some property of Taylor's series--the title ``Generalizations of Taylor's Series'' would be appropriate.
Special Issue on Extrapolation and Rational Approximation
Author:
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 310
Book Description
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 310
Book Description
Topics in Polynomial and Rational Interpolation and Approximation
Author: Richard S. Varga
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 148
Book Description
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 148
Book Description
Extrapolation and Rational Approximation
Extrapolation and Rational Approximation
Extrapolation and Rational Approximation
Rational Approximation and Interpolation
Author: P.R. Graves-Morris
Publisher: Springer
ISBN: 3540391134
Category : Mathematics
Languages : en
Pages : 541
Book Description
Publisher: Springer
ISBN: 3540391134
Category : Mathematics
Languages : en
Pages : 541
Book Description
Rational Approximation and Interpolation
Author: P. R. Graves-Morris
Publisher:
ISBN: 9783662168851
Category :
Languages : en
Pages : 544
Book Description
Publisher:
ISBN: 9783662168851
Category :
Languages : en
Pages : 544
Book Description