Claude Brezinski

According to our database1, Claude Brezinski authored at least 54 papers between 1971 and 2020.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of five.



In proceedings 
PhD thesis 


Online presence:



Some unusual results on extrapolation methods.
Numer. Algorithms, 2020

Shanks and Anderson-type acceleration techniques for systems of nonlinear equations.
CoRR, 2020

The genesis and early developments of Aitken's process, Shanks' transformation, the ε-algorithm, and related fixed point methods.
Numer. Algorithms, 2019

Reminiscences of Peter Wynn.
Numer. Algorithms, 2019

Shanks Sequence Transformations and Anderson Acceleration.
SIAM Rev., 2018

The simplified topological ε-algorithms: software and applications.
Numer. Algorithms, 2017

New representations of Padé, Padé-type, and partial Padé approximants.
J. Comput. Appl. Math., 2015

The Simplified Topological ε-Algorithms for Accelerating Sequences in a Vector Space.
SIAM J. Sci. Comput., 2014

Padé-type rational and barycentric interpolation.
Numerische Mathematik, 2013

Moments of a linear operator, with applications to the trace of the inverse of matrices and the solution of equations.
Numer. Linear Algebra Appl., 2012

Multistep έ-algorithm, Shanks' transformation, and the Lotka-Volterra system by Hirota's method.
Math. Comput., 2012

A rational Arnoldi approach for ill-conditioned linear systems.
J. Comput. Appl. Math., 2012

Extended procedures for extrapolation to the limit.
J. Comput. Appl. Math., 2010

Nonlinear functional equations satisfied by orthogonal polynomials.
J. Approx. Theory, 2010

Least Squares Orthogonal Polynomials.
Proceedings of the Encyclopedia of Optimization, Second Edition, 2009

Error estimates for the regularization of least squares problems.
Numer. Algorithms, 2009

Some pioneers of extrapolation methods.
Proceedings of the Birth of Numerical Analysis, 2009

Error estimates for linear systems with applications to regularization.
Numer. Algorithms, 2008

Rational extrapolation for the PageRank vector.
Math. Comput., 2008

A brief introduction to integrable systems.
Int. J. Comput. Sci. Math., 2007

Cauchy-Schwarz and Kantorovich type inequalities for scalar and matrix moment sequences.
Adv. Comput. Math., 2007

Extrapolation and minimization procedures for the PageRank vector.
Proceedings of the Web Information Retrieval and Linear Algebra Algorithms, 11.02., 2007

The PageRank Vector: Properties, Computation, Approximation, and Acceleration.
SIAM J. Matrix Anal. Appl., 2006

The life and work of André Cholesky.
Numer. Algorithms, 2006

Extrapolation Algorithms for Filtering Series of Functions, and Treating the Gibbs Phenomenon.
Numer. Algorithms, 2004

Multi-parameter regularization techniques for ill-conditioned linear systems.
Numerische Mathematik, 2003

A Classification of Quasi-Newton Methods.
Numer. Algorithms, 2003

A Tribute.
Numer. Algorithms, 2003

Block Projection Methods for Linear Systems.
Numer. Algorithms, 2002

Block Descent Methods and Hybrid Procedures for Linear Systems.
Numer. Algorithms, 2002

Acceleration procedures for matrix iterative methods.
Numer. Algorithms, 2000

Multiparameter Iterative Schemes for the Solution of Systems of Linear and Nonlinear Equations.
SIAM J. Sci. Comput., 1999

Error Estimates for the Solution of Linear Systems.
SIAM J. Sci. Comput., 1999

New look-ahead Lanczos-type algorithms for linear systems.
Numerische Mathematik, 1999

Krylov subspace methods, biorthogonal polynomials and Padé-type approximants.
Numer. Algorithms, 1999

Extrapolation techniques for ill-conditioned linear systems.
Numerische Mathematik, 1998

Transpose-free Lanczos-type algorithms for nonsymmetric linear systems.
Numer. Algorithms, 1998

Numer. Algorithms, 1996

A look-ahead strategy for the implementation of some old and new extrapolation methods.
Numer. Algorithms, 1996

The algebra of linear functionals on polynomials, with applications to Padé approximation.
Numer. Algorithms, 1996

Treatment of near-breakdown in the CGS algorithm.
Numer. Algorithms, 1994

Book reviews.
Numer. Algorithms, 1994

A general extrapolation procedure revisited.
Adv. Comput. Math., 1994

Some vector sequence transformations with applications to systems of equations.
Numer. Algorithms, 1992

Addendum to "Avoiding breakdown and near-breakdown in Lanczos type algorithms".
Numer. Algorithms, 1992

Avoiding breakdown in the CGS algorithm.
Numer. Algorithms, 1991

Avoiding breakdown and near-breakdown in Lanczos type algorithms.
Numer. Algorithms, 1991

A new presentation of orthogonal polynomials with applications to their computation.
Numer. Algorithms, 1991

Lectures on Numerical mathematics - H. Rutishauser Brikhäuser, Basel, 1990. 546 pages DM 98. ISBN 3-7643-3491-6.
Numer. Algorithms, 1991

Extrapolation methods - theory and practice.
Studies in computational mathematics 2, North-Holland, ISBN: 978-0-444-88814-3, 1991

History of continued fractions and Pade approximants.
Springer series in computational mathematics 12, Springer, ISBN: 978-3-540-15286-6, 1991

Algorithm 585: A Subroutine for the General Interpolation and Extrapolation Problems.
ACM Trans. Math. Softw., 1982

Numerical stability of a quadratic method for solving systems of non linear equations.
Computing, 1975

Méthodes d'accélération de la convergence en analyse numérique.
, 1971