2026 Claude Brezinski: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	52	942	803	46	42	316	15124

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

942

803

316

15124

Overview

Claude Brezinski is a researcher affiliated with the University of Lille in France, specializing in mathematics and computer science. Their work focuses on areas including computational theory and mathematics, numerical analysis, and applied mathematics.

Their research encompasses main topics such as:

Matrix Theory and Algorithms
Iterative Methods for Nonlinear Equations
Fractional Differential Equations Solutions
Mathematical Functions and Polynomials
History and Theory of Mathematics
Advanced Numerical Methods in Computational Mathematics
Numerical Methods for Differential Equations

Brezinski has contributed frequently to various academic publication venues, including:

Numerical Algorithms
Mathematics
arXiv (Cornell University)
IMA Journal of Numerical Analysis
Computational Mathematics and Mathematical Physics

Their recent papers include:

"Shanks and Anderson-type Acceleration Techniques for Systems of Nonlinear Equations" (2021), published in IMA Journal of Numerical Analysis
"A Survey of Shanks' Extrapolation Methods and Their Applications" (2021), published in Computational Mathematics and Mathematical Physics
"The Legacy of Peter Wynn" (2021), published in Mathematics
"On the Kernel of Vector ε-Algorithm and Related Topics" (2022), published in Numerical Algorithms
"Extrapolation and Prediction of Sequences in a Vector Space" (2022), published in Journal of Computational and Applied Mathematics

Brezinski has also authored books published by:

Society for Industrial and Applied Mathematics: "A Journey through the History of Numerical Linear Algebra" (2022)
Centre National de la Recherche Scientifique: "Extrapolation and Rational Approximation. The Works of the Main Contributors" (2022)

Frequent collaborators include Michela Redivo-Zaglia, Gérard Meurant, Stefano Cipolla, Yousef Saad, and F. Norman. These coauthors have worked with Brezinski on various research projects and publications.

Best Publications

Extrapolation Methods: Theory and Practice

Claude Brezinski;Michela Redivo Zaglia

860
Citations
Padé-type approximation and general orthogonal polynomials

Claude Brezinski

778
Citations
Numerical Methods for Engineers and Scientists

Unknown

622
Citations
A survey of matrix theory and matrix inequalities

Unknown

595
Citations
History of Continued Fractions and Padé Approximants

Claude Brezinski

401
Citations
Accélération de la convergence en analyse numérique

Claude Brezinski

343
Citations
A general extrapolation algorithm

C. Brezinski

282
Citations
Measures and Differential Equations in Infinite-Dimensional Space

Unknown

256
Citations
Convergence acceleration during the 20th century

C. Brezinski

220
Citations
Projection methods for systems of equations

Claude Brezinski

161
Citations
Generalisations de la transformation de shanks, de la table de Pade et de l'ε-algorithme

C. Brezinski

152
Citations
A breakdown-free Lanczos type algorithm for solving linear systems

C. Brezinski;M. Redivo Zaglia;H. Sadok

143
Citations
Biorthogonality and its Applications to Numerical Analysis

Claude Brezinski

140
Citations
Avoiding breakdown and near-breakdown in Lanczos type algorithms

C. Brezinski;M. Redivo Zaglia;H. Sadok

137
Citations
Multi-parameter regularization techniques for ill-conditioned linear systems

Claude Brezinski;Michela Redivo-Zaglia;Giuseppe Rodriguez;Sebastiano Seatzu

131
Citations
Extrapolation algorithms and Pade´ approximations: a historical survey

C. Brezinski

124
Citations
Quasi-orthogonality with applications to some families of classical orthogonal polynomials

C. Brezinski;K. A. Driver;M. Redivo-Zaglia

111
Citations
Algorithmes d'Acceleration de la Convergence Etude Numerique.

R. P. Eddy;Claude Brezinski

109
Citations
Other manifestations of the Schur complement

Claude Brezinski

106
Citations
Extrapolation methods

C. Brezinski;M. Redivo-Zaglia

101
Citations
Computational Aspects of Linear Control

Claude Brezinski

99
Citations
Rational approximation to formal power series

C. Brezinski

94
Citations
Special functions of mathematical physics

Unknown

29
Citations
Analysis and control of nonlinear infinite dimensional systems

Unknown

22
Citations
Integral inequalities and applications

Unknown

11
Citations
General orthogonal polynomials

Claude Brezinski

3
Citations

Frequent Co-Authors

Ahmed Sameh Purdue University West Lafayette

Yousef Saad University of Minnesota

Marc Goovaerts KU Leuven

Walter Gautschi Purdue University West Lafayette

Stefano Serra-Capizzano University of Insubria

External Links

Personal website of Claude Brezinski Google Scholar page

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