Interpolation and Extrapolation - 1st Edition - ISBN: 9780444505972, 9780080929538

Interpolation and Extrapolation, Volume 2

1st Edition

Authors: C. Brezinski
Paperback ISBN: 9780444505972
eBook ISBN: 9780080929538
Imprint: North Holland
Published Date: 20th December 2000
Page Count: 372
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Table of Contents

Preface: Numerical Analysis 2000. Vol. II: Interpolation and extrapolation (C. Brezinski). Convergence Acceleration during the 20th century (C. Brezinski). On the history of multivariate polynomial interpolation (M. Gasca, T. Sauer). Elimination techniques: from extrapolation to totally positive matrices and CADG (M. Gasca, G. Mühlbach). The ipsilon algorithm and related topics (P.R. Graves-Morris, D.E. Roberts, A. Salam). Scalar Levin-type sequence transformations (H.H.H. Homeier). Vector extrapolation methods. Applications and numerical comparison (K. Jbilou, H. Sadok). Multivariate Hermite interpolation by algebraic polynomials: A survey (R.A. Lorentz). Interpolation by Cauchy-Vandermonde systems and applications (G. Mühlbach). The E-algorithm and the Ford-Sidi algorithm (N. Osada). Diophantine approximations using Padé approximations (M. Prévost). The generalized Richardson extrapolation process GREP(1) and computation of derivatives of limits of sequences with applications to the d(1)-transformation (A. Sidi). Matrix Hermite-Padé problem and dynamical systems (V. Sorokin, J. Van Iseghem). Numerical analysis of the non-uniform sampling problem (T. Strohmer). Asymptotic expansions for multivariate polynomial approximation (G. Walz). Prediction properties of Aitken's iterated &Dgr;2 process, of Wynn's epsilon algorithm, and of Brezinski's iterated theta algorithm (E.J. Weniger).


Description

Preface: Numerical Analysis 2000. Vol. II: Interpolation and extrapolation (C. Brezinski). Convergence Acceleration during the 20th century (C. Brezinski). On the history of multivariate polynomial interpolation (M. Gasca, T. Sauer). Elimination techniques: from extrapolation to totally positive matrices and CADG (M. Gasca, G. Mühlbach). The ipsilon algorithm and related topics (P.R. Graves-Morris, D.E. Roberts, A. Salam). Scalar Levin-type sequence transformations (H.H.H. Homeier). Vector extrapolation methods. Applications and numerical comparison (K. Jbilou, H. Sadok). Multivariate Hermite interpolation by algebraic polynomials: A survey (R.A. Lorentz). Interpolation by Cauchy-Vandermonde systems and applications (G. Mühlbach). The E-algorithm and the Ford-Sidi algorithm (N. Osada). Diophantine approximations using Padé approximations (M. Prévost). The generalized Richardson extrapolation process GREP(1) and computation of derivatives of limits of sequences with applications to the d(1)-transformation (A. Sidi). Matrix Hermite-Padé problem and dynamical systems (V. Sorokin, J. Van Iseghem). Numerical analysis of the non-uniform sampling problem (T. Strohmer). Asymptotic expansions for multivariate polynomial approximation (G. Walz). Prediction properties of Aitken's iterated &Dgr;2 process, of Wynn's epsilon algorithm, and of Brezinski's iterated theta algorithm (E.J. Weniger).


Details

No. of pages:
372
Language:
English
Copyright:
© North Holland 2000
Published:
Imprint:
North Holland
eBook ISBN:
9780080929538
Paperback ISBN:
9780444505972

About the Authors

C. Brezinski Author

Affiliations and Expertise

University des Sciences et Techn. de Lille, Villeneuve d'Ascq Cedex 59655, France