Claude Brezinski

Ahmed Salam

Numer. Algorithms, January, 2023

2022

Richard Steven Varga, 1928-2022.

[BibT_eX]

[DOI]

Philippe G. Ciarlet

Numer. Algorithms, 2022

Extrapolation and prediction of sequences in a vector space.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2022

2020

Some unusual results on extrapolation methods.

[BibT_eX]

[DOI]

Numer. Algorithms, 2020

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

[BibT_eX]

[DOI]

Stefano Cipolla

Yousef Saad

CoRR, 2020

2019

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

[BibT_eX]

[DOI]

Numer. Algorithms, 2019

Reminiscences of Peter Wynn.

[BibT_eX]

[DOI]

Numer. Algorithms, 2019

2018

Shanks Sequence Transformations and Anderson Acceleration.

[BibT_eX]

[DOI]

Yousef Saad

SIAM Rev., 2018

2017

The simplified topological ε-algorithms: software and applications.

[BibT_eX]

[DOI]

Numer. Algorithms, 2017

2015

New representations of Padé, Padé-type, and partial Padé approximants.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2015

2014

The Simplified Topological ε-Algorithms for Accelerating Sequences in a Vector Space.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2014

2013

Padé-type rational and barycentric interpolation.

[BibT_eX]

[DOI]

Numerische Mathematik, 2013

2012

Moments of a linear operator, with applications to the trace of the inverse of matrices and the solution of equations.

[BibT_eX]

[DOI]

Paraskevi Fika

Marilena Mitrouli

Numer. Linear Algebra Appl., 2012

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

[BibT_eX]

[DOI]

Yi He

Xing-Biao Hu

Jian-Qing Sun

Math. Comput., 2012

A rational Arnoldi approach for ill-conditioned linear systems.

[BibT_eX]

[DOI]

Paolo Novati

J. Comput. Appl. Math., 2012

2010

Extended procedures for extrapolation to the limit.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2010

Nonlinear functional equations satisfied by orthogonal polynomials.

[BibT_eX]

[DOI]

J. Approx. Theory, 2010

2009

Least Squares Orthogonal Polynomials.

[BibT_eX]

[DOI]

Ana C. Matos

Proceedings of the Encyclopedia of Optimization, Second Edition, 2009

Error estimates for the regularization of least squares problems.

[BibT_eX]

[DOI]

Numer. Algorithms, 2009

Some pioneers of extrapolation methods.

[BibT_eX]

[DOI]

Proceedings of the Birth of Numerical Analysis, 2009

2008

Error estimates for linear systems with applications to regularization.

[BibT_eX]

[DOI]

Numer. Algorithms, 2008

Rational extrapolation for the PageRank vector.

[BibT_eX]

[DOI]

Math. Comput., 2008

2007

A brief introduction to integrable systems.

[BibT_eX]

[DOI]

Int. J. Comput. Sci. Math., 2007

Cauchy-Schwarz and Kantorovich type inequalities for scalar and matrix moment sequences.

[BibT_eX]

[DOI]

Marcos Raydan

Adv. Comput. Math., 2007

Extrapolation and minimization procedures for the PageRank vector.

[BibT_eX]

[DOI]

Proceedings of the Web Information Retrieval and Linear Algebra Algorithms, 11.02., 2007

2006

The PageRank Vector: Properties, Computation, Approximation, and Acceleration.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2006

The life and work of André Cholesky.

[BibT_eX]

[DOI]

Numer. Algorithms, 2006

2004

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

[BibT_eX]

[DOI]

Numer. Algorithms, 2004

2003

Multi-parameter regularization techniques for ill-conditioned linear systems.

[BibT_eX]

[DOI]

Numerische Mathematik, 2003

A Classification of Quasi-Newton Methods.

[BibT_eX]

[DOI]

Numer. Algorithms, 2003

A Tribute.

[BibT_eX]

[DOI]

Numer. Algorithms, 2003

2002

Block Projection Methods for Linear Systems.

[BibT_eX]

[DOI]

Numer. Algorithms, 2002

Block Descent Methods and Hybrid Procedures for Linear Systems.

[BibT_eX]

[DOI]

Numer. Algorithms, 2002

2000

Acceleration procedures for matrix iterative methods.

[BibT_eX]

[DOI]

Numer. Algorithms, 2000

1999

Multiparameter Iterative Schemes for the Solution of Systems of Linear and Nonlinear Equations.

[BibT_eX]

[DOI]

Jean-Paul Chehab

SIAM J. Sci. Comput., 1999

Error Estimates for the Solution of Linear Systems.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 1999

New look-ahead Lanczos-type algorithms for linear systems.

[BibT_eX]

[DOI]

Numerische Mathematik, 1999

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

[BibT_eX]

[DOI]

Numer. Algorithms, 1999

1998

Extrapolation techniques for ill-conditioned linear systems.

[BibT_eX]

[DOI]

Numerische Mathematik, 1998

Transpose-free Lanczos-type algorithms for nonsymmetric linear systems.

[BibT_eX]

[DOI]

Numer. Algorithms, 1998

1996

Preface.

[BibT_eX]

[DOI]

Richard S. Varga

Numer. Algorithms, 1996

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

[BibT_eX]

[DOI]

Numer. Algorithms, 1996

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

[BibT_eX]

[DOI]

Pascal Maroni

Numer. Algorithms, 1996

1994

The Reverse Bordering Method.

[BibT_eX]

[DOI]

Maria Morandi Cecchi

SIAM J. Matrix Anal. Appl., July, 1994

Treatment of near-breakdown in the CGS algorithm.

[BibT_eX]

[DOI]

Numer. Algorithms, 1994

Book reviews.

[BibT_eX]

[DOI]

Numer. Algorithms, 1994

A general extrapolation procedure revisited.

[BibT_eX]

[DOI]

Adv. Comput. Math., 1994

1992

Some vector sequence transformations with applications to systems of equations.

[BibT_eX]

[DOI]

Numer. Algorithms, 1992

Addendum to "Avoiding breakdown and near-breakdown in Lanczos type algorithms".

[BibT_eX]

[DOI]

Numer. Algorithms, 1992

1991

Avoiding breakdown in the CGS algorithm.

[BibT_eX]

[DOI]

Numer. Algorithms, 1991

Avoiding breakdown and near-breakdown in Lanczos type algorithms.

[BibT_eX]

[DOI]

Numer. Algorithms, 1991

A new presentation of orthogonal polynomials with applications to their computation.

[BibT_eX]

[DOI]

Numer. Algorithms, 1991

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

[BibT_eX]

[DOI]

Numer. Algorithms, 1991

Extrapolation methods - theory and practice.

[BibT_eX]

Studies in computational mathematics 2, North-Holland, ISBN: 978-0-444-88814-3, 1991

History of continued fractions and Pade approximants.

[BibT_eX]

Springer series in computational mathematics 12, Springer, ISBN: 978-3-540-15286-6, 1991

1982

Algorithm 585: A Subroutine for the General Interpolation and Extrapolation Problems.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 1982

1975

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

[BibT_eX]

[DOI]

Computing, 1975

1971

Méthodes d'accélération de la convergence en analyse numérique.

[BibT_eX]

[DOI]