A reliable modification of the cross rule for rational Hermite interpolation. - Bernhard Beckermann; Carsten Carstensen (Numer. Algorithms, 1992)

A uniform approach for Hermite Padé and simultaneous Padé approximants and their matrix-type generalizations. - Bernhard Beckermann; George Labahn (Numer. Algorithms, 1992)

A Uniform Approach for the Fast Computation of Matrix-Type Padé Approximants. - Bernhard Beckermann; George Labahn (SIAM J. Matrix Anal. Appl., 1994)

The stable computation of formal orthogonal polynomials. - Bernhard Beckermann (Numer. Algorithms, 1996)

Fraction-free Computation of Catrix Padé Systems. - Bernhard Beckermann; Stanley Cabay; George Labahn (ISSAC, 1997)

The compass (star) identity for vector-valued rational interpolants. - Peter R. Graves-Morris; Bernhard Beckermann (Adv. Comput. Math., 1997)

When are Two Numerical Polynomials Relatively Prime? - Bernhard Beckermann; George Labahn (J. Symb. Comput., 1998)

A Fast and Numerically Stable Euclidean-Like Algorithm for Detecting Relatively Prime Numerical Polynomials. - Bernhard Beckermann; George Labahn (J. Symb. Comput., 1998)

Shifted Normal Forms of Polynomial Matrices. - Bernhard Beckermann; George Labahn; Gilles Villard (ISSAC, 1999)

The condition number of real Vandermonde, Krylov and positive definite Hankel matrices. - Bernhard Beckermann (Numerische Mathematik, 2000)

Effective Computation of Rational Approximants and Interpolants. - Bernhard Beckermann; George Labahn (Reliab. Comput., 2000)

Fraction-Free Computation of Matrix Rational Interpolants and Matrix GCDs. - Bernhard Beckermann; George Labahn (SIAM J. Matrix Anal. Appl., 2000)

Superlinear Convergence of Conjugate Gradients. - Bernhard Beckermann; Arno B. J. Kuijlaars (SIAM J. Numer. Anal., 2001)

Fraction-free row reduction of matrices of skew polynomials. - Bernhard Beckermann; Howard Cheng; George Labahn (ISSAC, 2002)

Some Spectral Properties of Infinite Band Matrices. - Bernhard Beckermann; A. Osipov (Numer. Algorithms, 2003)

Multiple Wilson and Jacobi-Piñeiro polynomial. - Bernhard Beckermann; J. Coussement; Walter Van Assche (J. Approx. Theory, 2005)

Some Remarks on the Elman Estimate for GMRES. - Bernhard Beckermann; Sergei A. Goreinov; E. E. Tyrtyshnikov (SIAM J. Matrix Anal. Appl., 2005)

Fraction-free row reduction of matrices of Ore polynomials. - Bernhard Beckermann; Howard Cheng; George Labahn (J. Symb. Comput., 2006)

Normal forms for general polynomial matrices. - Bernhard Beckermann; George Labahn; Gilles Villard (J. Symb. Comput., 2006)

On the numerical condition of a generalized Hankel eigenvalue problem. - Bernhard Beckermann; Gene H. Golub; George Labahn (Numerische Mathematik, 2007)

On the Asymptotic Spectrum of Finite Element Matrix Sequences. - Bernhard Beckermann; Stefano Serra-Capizzano (SIAM J. Numer. Anal., 2007)

The Arnoldi Process and GMRES for Nearly Symmetric Matrices. - Bernhard Beckermann; Lothar Reichel (SIAM J. Matrix Anal. Appl., 2008)

Fraction-free computation of simultaneous padé approximants. - Bernhard Beckermann; George Labahn (ISSAC, 2009)

On Gautschi's conjecture for generalized Gauss-Radau and Gauss-Lobatto formulae. - Hédi Joulak; Bernhard Beckermann (J. Comput. Appl. Math., 2009)

Error Estimates and Evaluation of Matrix Functions via the Faber Transform. - Bernhard Beckermann; Lothar Reichel (SIAM J. Numer. Anal., 2009)

The linear pencil approach to rational interpolation. - Bernhard Beckermann; Maxim S. Derevyagin; Alexei S. Zhedanov (J. Approx. Theory, 2010)

On the Convergence of Rational Ritz Values. - Bernhard Beckermann; Stefan Güttel; Raf Vandebril (SIAM J. Matrix Anal. Appl., 2010)

How well does the Hermite-Padé approximation smooth the Gibbs phenomenon? - Bernhard Beckermann; Valeriy A. Kalyagin; Ana C. Matos; Franck Wielonsky (Math. Comput., 2011)

An Error Analysis for Rational Galerkin Projection Applied to the Sylvester Equation. - Bernhard Beckermann (SIAM J. Numer. Anal., 2011)

Computing high precision Matrix Padé approximants. - Bernhard Beckermann; Daniel Bessis; Luca Perotti; Daniel Vrinceanu (Numer. Algorithms, 2012)

Superlinear convergence of the rational Arnoldi method for the approximation of matrix functions. - Bernhard Beckermann; Stefan Güttel (Numerische Mathematik, 2012)

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)

Algebraic properties of robust Padé approximants. - Bernhard Beckermann; Ana C. Matos (J. Approx. Theory, 2015)

On the Singular Values of Matrices with Displacement Structure. - Bernhard Beckermann; Alex Townsend (SIAM J. Matrix Anal. Appl., 2017)

On rational functions without Froissart doublets. - Bernhard Beckermann; George Labahn; Ana C. Matos (Numerische Mathematik, 2018)

Low-Rank Updates of Matrix Functions. - Bernhard Beckermann; Daniel Kressner; Marcel Schweitzer (SIAM J. Matrix Anal. Appl., 2018)

On an Economic Arnoldi Method for BML-Matrices. - Bernhard Beckermann; Clara Mertens; Raf Vandebril (SIAM J. Matrix Anal. Appl., 2018)

Rational Minimax Approximation via Adaptive Barycentric Representations. - Silviu-Ioan Filip; Yuji Nakatsukasa; Lloyd N. Trefethen; Bernhard Beckermann (SIAM J. Sci. Comput., 2018)

Bounds on the Singular Values of Matrices with Displacement Structure. - Bernhard Beckermann; Alex Townsend (SIAM Rev., 2019)

Computing Markov functions of Toeplitz matrices. - Bernhard Beckermann; Joanna Bisch; Robert Luce (CoRR, 2021)

Perturbations of Christoffel-Darboux Kernels: Detection of Outliers. - Bernhard Beckermann; Mihai Putinar; Edward B. Saff; Nikos Stylianopoulos (Found. Comput. Math., 2021)

Low-Rank Updates of Matrix Functions II: Rational Krylov Methods. - Bernhard Beckermann; Alice Cortinovis; Daniel Kressner; Marcel Schweitzer (SIAM J. Numer. Anal., 2021)

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)

Compression Properties for large Toeplitz-like matrices. - Bernhard Beckermann; Daniel Kressner; Heather Wilber (CoRR, 2025)