• Publications
• Influence
A general extrapolation algorithm
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 convergenceExpand
• 234
• 28
General orthogonal polynomials
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 byExpand
• 169
• 24
Extrapolation methods - theory and practice
• 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 ofExpand
• 386
• 18
Extrapolation methods
• Mathematics
• 1 September 1992
• 232
• 15
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 ofExpand
• 186
• 13
Quasi-orthogonality with applications to some families of classical orthogonal polynomials
• 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
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 theExpand
• 99
• 10
Lanczos-type algorithms for solving systems of linear equations
• 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 variousExpand
• 67
• 10