Bernhard Beckermann

According to our database, Bernhard Beckermann authored at least 43 papers between 1992 and 2022.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2022

On the rational approximation of Markov functions, with applications to the computation of Markov functions of Toeplitz matrices.

Bernhard Beckermann, Joanna Bisch, Robert Luce

Numer. Algorithms, 2022

2021

Low-Rank Updates of Matrix Functions II: Rational Krylov Methods.

Bernhard Beckermann, Alice Cortinovis, Daniel Kressner, Marcel Schweitzer

SIAM J. Numer. Anal., 2021

Perturbations of Christoffel-Darboux Kernels: Detection of Outliers.

Bernhard Beckermann, Mihai Putinar, Edward B. Saff, Nikos Stylianopoulos

Found. Comput. Math., 2021

Computing Markov functions of Toeplitz matrices.

Bernhard Beckermann, Joanna Bisch, Robert Luce

CoRR, 2021

2019

Bounds on the Singular Values of Matrices with Displacement Structure.

Bernhard Beckermann, Alex Townsend

SIAM Rev., 2019

2018

Rational Minimax Approximation via Adaptive Barycentric Representations.

Silviu-Ioan Filip, Yuji Nakatsukasa, Lloyd N. Trefethen, Bernhard Beckermann

SIAM J. Sci. Comput., 2018

On an Economic Arnoldi Method for BML-Matrices.

Bernhard Beckermann, Clara Mertens, Raf Vandebril

SIAM J. Matrix Anal. Appl., 2018

Low-Rank Updates of Matrix Functions.

Bernhard Beckermann, Daniel Kressner, Marcel Schweitzer

SIAM J. Matrix Anal. Appl., 2018

On rational functions without Froissart doublets.

Bernhard Beckermann, George Labahn, Ana C. Matos

Numerische Mathematik, 2018

2017

On the Singular Values of Matrices with Displacement Structure.

Bernhard Beckermann, Alex Townsend

SIAM J. Matrix Anal. Appl., 2017

2015

Algebraic properties of robust Padé approximants.

Bernhard Beckermann, Ana C. Matos

J. Approx. Theory, 2015

2013

An Error Analysis of Galerkin Projection Methods for Linear Systems with Tensor Product Structure.

Bernhard Beckermann, Daniel Kressner, Christine Tobler

SIAM J. Numer. Anal., 2013

2012

Superlinear convergence of the rational Arnoldi method for the approximation of matrix functions.

Bernhard Beckermann, Stefan Güttel

Numerische Mathematik, 2012

Computing high precision Matrix Padé approximants.

Bernhard Beckermann, Daniel Bessis, Luca Perotti, Daniel Vrinceanu

Numer. Algorithms, 2012

2011

An Error Analysis for Rational Galerkin Projection Applied to the Sylvester Equation.

Bernhard Beckermann

SIAM J. Numer. Anal., 2011

How well does the Hermite-Padé approximation smooth the Gibbs phenomenon?

Bernhard Beckermann, Valeriy A. Kalyagin, Ana C. Matos, Franck Wielonsky

Math. Comput., 2011

2010

On the Convergence of Rational Ritz Values.

Bernhard Beckermann, Stefan Güttel, Raf Vandebril

SIAM J. Matrix Anal. Appl., 2010

The linear pencil approach to rational interpolation.

Bernhard Beckermann, Maxim S. Derevyagin, Alexei S. Zhedanov

J. Approx. Theory, 2010

2009

Error Estimates and Evaluation of Matrix Functions via the Faber Transform.

Bernhard Beckermann, Lothar Reichel

SIAM J. Numer. Anal., 2009

On Gautschi's conjecture for generalized Gauss-Radau and Gauss-Lobatto formulae.

Hédi Joulak, Bernhard Beckermann

J. Comput. Appl. Math., 2009

Fraction-free computation of simultaneous padé approximants.

Bernhard Beckermann, George Labahn

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2009

2008

The Arnoldi Process and GMRES for Nearly Symmetric Matrices.

Bernhard Beckermann, Lothar Reichel

SIAM J. Matrix Anal. Appl., 2008

2007

On the Asymptotic Spectrum of Finite Element Matrix Sequences.

Bernhard Beckermann, Stefano Serra Capizzano

SIAM J. Numer. Anal., 2007

On the numerical condition of a generalized Hankel eigenvalue problem.

Bernhard Beckermann, Gene H. Golub, George Labahn

Numerische Mathematik, 2007

2006

Normal forms for general polynomial matrices.

Bernhard Beckermann, George Labahn, Gilles Villard

J. Symb. Comput., 2006

Fraction-free row reduction of matrices of Ore polynomials.

Bernhard Beckermann, Howard Cheng, George Labahn

J. Symb. Comput., 2006

2005

Some Remarks on the Elman Estimate for GMRES.

Bernhard Beckermann, Sergei A. Goreinov, E. E. Tyrtyshnikov

SIAM J. Matrix Anal. Appl., 2005

Multiple Wilson and Jacobi-Piñeiro polynomial.

Bernhard Beckermann, J. Coussement, Walter Van Assche

J. Approx. Theory, 2005

2003

Some Spectral Properties of Infinite Band Matrices.

Bernhard Beckermann, A. Osipov

Numer. Algorithms, 2003

2002

Fraction-free row reduction of matrices of skew polynomials.

Bernhard Beckermann, Howard Cheng, George Labahn

Proceedings of the Symbolic and Algebraic Computation, 2002

2001

Superlinear Convergence of Conjugate Gradients.

Bernhard Beckermann, Arno B. J. Kuijlaars

SIAM J. Numer. Anal., 2001

2000

Fraction-Free Computation of Matrix Rational Interpolants and Matrix GCDs.

Bernhard Beckermann, George Labahn

SIAM J. Matrix Anal. Appl., 2000

Effective Computation of Rational Approximants and Interpolants.

Bernhard Beckermann, George Labahn

Reliab. Comput., 2000

The condition number of real Vandermonde, Krylov and positive definite Hankel matrices.

Bernhard Beckermann

Numerische Mathematik, 2000

1999

Shifted Normal Forms of Polynomial Matrices.

Bernhard Beckermann, George Labahn, Gilles Villard

Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation, 1999

1998

A Fast and Numerically Stable Euclidean-Like Algorithm for Detecting Relatively Prime Numerical Polynomials.

Bernhard Beckermann, George Labahn

J. Symb. Comput., 1998

When are Two Numerical Polynomials Relatively Prime?

Bernhard Beckermann, George Labahn

J. Symb. Comput., 1998

1997

The compass (star) identity for vector-valued rational interpolants.

Peter R. Graves-Morris, Bernhard Beckermann

Adv. Comput. Math., 1997

Fraction-free Computation of Catrix Padé Systems.

Bernhard Beckermann, Stanley Cabay, George Labahn

Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation, 1997

1996

The stable computation of formal orthogonal polynomials.

Bernhard Beckermann

Numer. Algorithms, 1996

1994

A Uniform Approach for the Fast Computation of Matrix-Type Padé Approximants.

Bernhard Beckermann, George Labahn

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

1992

A uniform approach for Hermite Padé and simultaneous Padé approximants and their matrix-type generalizations.

Bernhard Beckermann, George Labahn

Numer. Algorithms, 1992

A reliable modification of the cross rule for rational Hermite interpolation.

Bernhard Beckermann, Carsten Carstensen

Numer. Algorithms, 1992