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Publications Influence

Numerical recipes in Fortran (The art of scientific computing) : W.H. Press, S.A. Teukolsky, W.T. Vetterling and B.P. Flannery, Cambridge Univ. Press, Cambridge, 2nd ed., 1992. 963 pp., US$49.95,…

- W. Ames, C. Brezinski
- Computer Science, Mathematics
- 1 November 1993

343 29

A general extrapolation algorithm

- C. Brezinski
- Mathematics
- 1 June 1980

SummaryIn this paper a general formalism for linear and rational extrapolation processes is developped. This formalism includes most of the sequence transformations actually used for convergence… Expand

234 28

General orthogonal polynomials

- C. Brezinski
- Mathematics
- 1980

In this chapter the theory of general orthogonal polynomials will be studied independently of its application to Pade approximants. This theory is not new; it can, for example, be found in a book by… Expand

169 24

Extrapolation methods - theory and practice

- C. Brezinski, M. Redivo-Zaglia
- Mathematics, Computer Science
- Studies in computational mathematics
- 1 April 1993

Introduction to the Theory. First Steps. What is an Extrapolation Method? What is an Extrapolation Algorithm? Quasi-linear Sequence Transformations. Sequence Transformations as Ratios of… Expand

386 18

History of continued fractions and Pade approximants

- C. Brezinski
- Mathematics, Computer Science
- Springer series in computational mathematics
- 20 December 1990

1 The Early Ages.- 1.1 Euclid's algorithm.- 1.2 The square root.- 1.3 Indeterminate equations.- 1.4 History of notations.- 2 The First Steps.- 2.1 Ascending continued fractions.- 2.2 The birth of… Expand

186 13

Quasi-orthogonality with applications to some families of classical orthogonal polynomials

- C. Brezinski, K. Driver, M. Redivo-Zaglia
- Mathematics
- 1 February 2004

In this paper, we study the quasi-orthogonality of orthogonal polynomials. New results on the location of their zeros are given in two particular cases. Then these results are applied to Gegenbauer,… Expand

79 13

Generalisations de la transformation de shanks, de la table de Pade et de l'ε-algorithme

- C. Brezinski
- Mathematics
- 1 December 1975

This paper deals with a generalization of the Shank's transformation for a sequence of elements of a topological vector space. It is showned how this generalization leads to a generalization of the… Expand

99 10

Lanczos-type algorithms for solving systems of linear equations

- C. Brezinski, H. Sadok
- Mathematics
- 1 April 1993

Abstract Brezinski, C. and H. Sadok, Lanczos-type algorithms for solving systems of linear equations, Applied Numerical Mathematics 11 (1993) 443–473. In this paper, a synthesis of the various… Expand

67 10

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