Méthodes d'accélération de la convergence en analyse numérique. - Claude Brezinski (1971)

Numerical stability of a quadratic method for solving systems of non linear equations. - Claude Brezinski (Computing, 1975)

Algorithm 585: A Subroutine for the General Interpolation and Extrapolation Problems. - Claude Brezinski (ACM Trans. Math. Softw., 1982)

History of continued fractions and Pade approximants. - Claude Brezinski (Springer, 1991)

Extrapolation methods - theory and practice. - Claude Brezinski; Michela Redivo-Zaglia (North-Holland, 1991)

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

A new presentation of orthogonal polynomials with applications to their computation. - Claude Brezinski; Michela Redivo-Zaglia (Numer. Algorithms, 1991)

Avoiding breakdown and near-breakdown in Lanczos type algorithms. - Claude Brezinski; Michela Redivo-Zaglia; Hassane Sadok (Numer. Algorithms, 1991)

Avoiding breakdown in the CGS algorithm. - Claude Brezinski; Hassane Sadok (Numer. Algorithms, 1991)

Addendum to "Avoiding breakdown and near-breakdown in Lanczos type algorithms". - Claude Brezinski; Michela Redivo-Zaglia; Hassane Sadok (Numer. Algorithms, 1992)

Some vector sequence transformations with applications to systems of equations. - Claude Brezinski; Hassane Sadok (Numer. Algorithms, 1992)

A general extrapolation procedure revisited. - Claude Brezinski; Michela Redivo-Zaglia (Adv. Comput. Math., 1994)

Treatment of near-breakdown in the CGS algorithm. - Claude Brezinski; Michela Redivo-Zaglia (Numer. Algorithms, 1994)

The Reverse Bordering Method. - Claude Brezinski; Maria Morandi Cecchi; Michela Redivo-Zaglia (SIAM J. Matrix Anal. Appl., 1994)

The algebra of linear functionals on polynomials, with applications to Padé approximation. - Claude Brezinski; Pascal Maroni (Numer. Algorithms, 1996)

A look-ahead strategy for the implementation of some old and new extrapolation methods. - Claude Brezinski; Michela Redivo-Zaglia (Numer. Algorithms, 1996)

Preface. - Claude Brezinski; Richard S. Varga (Numer. Algorithms, 1996)

Transpose-free Lanczos-type algorithms for nonsymmetric linear systems. - Claude Brezinski; Michela Redivo-Zaglia (Numer. Algorithms, 1998)

Extrapolation techniques for ill-conditioned linear systems. - Claude Brezinski; Michela Redivo-Zaglia; Giuseppe Rodriguez; Sebastiano Seatzu (Numerische Mathematik, 1998)

Krylov subspace methods, biorthogonal polynomials and Padé-type approximants. - Claude Brezinski (Numer. Algorithms, 1999)

New look-ahead Lanczos-type algorithms for linear systems. - Claude Brezinski; Michela Redivo-Zaglia; Hassane Sadok (Numerische Mathematik, 1999)

Error Estimates for the Solution of Linear Systems. - Claude Brezinski (SIAM J. Sci. Comput., 1999)

Multiparameter Iterative Schemes for the Solution of Systems of Linear and Nonlinear Equations. - Claude Brezinski; Jean-Paul Chehab (SIAM J. Sci. Comput., 1999)

Acceleration procedures for matrix iterative methods. - Claude Brezinski (Numer. Algorithms, 2000)

Block Descent Methods and Hybrid Procedures for Linear Systems. - Claude Brezinski (Numer. Algorithms, 2002)

Block Projection Methods for Linear Systems. - Claude Brezinski; Michela Redivo-Zaglia (Numer. Algorithms, 2002)

A Tribute. - Claude Brezinski (Numer. Algorithms, 2003)

A Classification of Quasi-Newton Methods. - Claude Brezinski (Numer. Algorithms, 2003)

Book Reviews. - Claude Brezinski (Numer. Algorithms, 2003)

Multi-parameter regularization techniques for ill-conditioned linear systems. - Claude Brezinski; Michela Redivo-Zaglia; Giuseppe Rodriguez; Sebastiano Seatzu (Numerische Mathematik, 2003)

Extrapolation Algorithms for Filtering Series of Functions, and Treating the Gibbs Phenomenon. - Claude Brezinski (Numer. Algorithms, 2004)

The life and work of André Cholesky. - Claude Brezinski (Numer. Algorithms, 2006)

The PageRank Vector: Properties, Computation, Approximation, and Acceleration. - Claude Brezinski; Michela Redivo-Zaglia (SIAM J. Matrix Anal. Appl., 2006)

Extrapolation and minimization procedures for the PageRank vector. - Claude Brezinski; Michela Redivo-Zaglia (Web Information Retrieval and Linear Algebra Algorithms, 2007)

Cauchy-Schwarz and Kantorovich type inequalities for scalar and matrix moment sequences. - Claude Brezinski; Marcos Raydan (Adv. Comput. Math., 2007)

A brief introduction to integrable systems. - Claude Brezinski (Int. J. Comput. Sci. Math., 2007)

Rational extrapolation for the PageRank vector. - Claude Brezinski; Michela Redivo-Zaglia (Math. Comput., 2008)

Error estimates for linear systems with applications to regularization. - Claude Brezinski; Giuseppe Rodriguez; Sebastiano Seatzu (Numer. Algorithms, 2008)

Some pioneers of extrapolation methods. - Claude Brezinski (The Birth of Numerical Analysis, 2009)

Error estimates for the regularization of least squares problems. - Claude Brezinski; Giuseppe Rodriguez; Sebastiano Seatzu (Numer. Algorithms, 2009)

Least Squares Orthogonal Polynomials. - Claude Brezinski; Ana C. Matos (Encyclopedia of Optimization, 2009)

Nonlinear functional equations satisfied by orthogonal polynomials. - Claude Brezinski (J. Approx. Theory, 2010)

Extended procedures for extrapolation to the limit. - Claude Brezinski; Michela Redivo-Zaglia (J. Comput. Appl. Math., 2010)

A rational Arnoldi approach for ill-conditioned linear systems. - Claude Brezinski; Paolo Novati; Michela Redivo-Zaglia (J. Comput. Appl. Math., 2012)

Multistep έ-algorithm, Shanks' transformation, and the Lotka-Volterra system by Hirota's method. - Claude Brezinski; Yi He 005; Xing-Biao Hu; Michela Redivo-Zaglia; Jian-Qing Sun (Math. Comput., 2012)

Moments of a linear operator, with applications to the trace of the inverse of matrices and the solution of equations. - Claude Brezinski; Paraskevi Fika; Marilena Mitrouli (Numer. Linear Algebra Appl., 2012)

Padé-type rational and barycentric interpolation. - Claude Brezinski; Michela Redivo-Zaglia (Numerische Mathematik, 2013)

The Simplified Topological ε-Algorithms for Accelerating Sequences in a Vector Space. - Claude Brezinski; Michela Redivo-Zaglia (SIAM J. Sci. Comput., 2014)

New representations of Padé, Padé-type, and partial Padé approximants. - Claude Brezinski; Michela Redivo-Zaglia (J. Comput. Appl. Math., 2015)

The simplified topological ε-algorithms: software and applications. - Claude Brezinski; Michela Redivo-Zaglia (Numer. Algorithms, 2017)

Shanks Sequence Transformations and Anderson Acceleration. - Claude Brezinski; Michela Redivo-Zaglia; Yousef Saad (SIAM Rev., 2018)

Reminiscences of Peter Wynn. - Claude Brezinski (Numer. Algorithms, 2019)

The genesis and early developments of Aitken's process, Shanks' transformation, the ε-algorithm, and related fixed point methods. - Claude Brezinski; Michela Redivo-Zaglia (Numer. Algorithms, 2019)

Shanks and Anderson-type acceleration techniques for systems of nonlinear equations. - Claude Brezinski; Stefano Cipolla; Michela Redivo-Zaglia; Yousef Saad (CoRR, 2020)

Some unusual results on extrapolation methods. - Claude Brezinski; Michela Redivo-Zaglia (Numer. Algorithms, 2020)

Extrapolation and prediction of sequences in a vector space. - Claude Brezinski; Michela Redivo-Zaglia (J. Comput. Appl. Math., 2022)

Richard Steven Varga, 1928-2022. - Claude Brezinski; Philippe G. Ciarlet (Numer. Algorithms, 2022)

On the kernel of vector ε-algorithm and related topics. - Claude Brezinski; Michela Redivo-Zaglia; Ahmed Salam (Numer. Algorithms, 2023)

Parameter Choice Rules for Discrete Ill-Posed Problems Based on Extrapolation Methods. - Andrea Azzarelli; Claude Brezinski; Caterina Fenu; Michela Redivo-Zaglia; Giuseppe Rodriguez (J. Sci. Comput., 2025)