Bernhard Beckermann

Publication Activity (10 Years)

Years Active: 1992-2022
Publications (10 Years): 12

Top Topics

Singular Values

Top Venues

SIAM J. Matrix Anal. Appl.

SIAM J. Numer. Anal.

J. Approx. Theory

Publications

Bernhard Beckermann, Joanna Bisch, Robert Luce
On the rational approximation of Markov functions, with applications to the computation of Markov functions of Toeplitz matrices. Numer. Algorithms 91 (1) (2022)
Bernhard Beckermann, Alice Cortinovis, Daniel Kressner, Marcel Schweitzer
Low-Rank Updates of Matrix Functions II: Rational Krylov Methods. SIAM J. Numer. Anal. 59 (3) (2021)
Bernhard Beckermann, Mihai Putinar, Edward B. Saff, Nikos Stylianopoulos
Perturbations of Christoffel-Darboux Kernels: Detection of Outliers. Found. Comput. Math. 21 (1) (2021)
Bernhard Beckermann, Joanna Bisch, Robert Luce
Computing Markov functions of Toeplitz matrices. CoRR (2021)
Bernhard Beckermann, Alice Cortinovis, Daniel Kressner, Marcel Schweitzer
Low-rank updates of matrix functions II: Rational Krylov methods. CoRR (2020)
Bernhard Beckermann, Alex Townsend
Bounds on the Singular Values of Matrices with Displacement Structure. SIAM Rev. 61 (2) (2019)
Bernhard Beckermann, Clara Mertens, Raf Vandebril
On an Economic Arnoldi Method for BML-Matrices. SIAM J. Matrix Anal. Appl. 39 (2) (2018)
Silviu-Ioan Filip, Yuji Nakatsukasa, Lloyd N. Trefethen, Bernhard Beckermann
Rational Minimax Approximation via Adaptive Barycentric Representations. SIAM J. Sci. Comput. 40 (4) (2018)
Bernhard Beckermann, Daniel Kressner, Marcel Schweitzer
Low-Rank Updates of Matrix Functions. SIAM J. Matrix Anal. Appl. 39 (1) (2018)
Bernhard Beckermann, George Labahn, Ana C. Matos
On rational functions without Froissart doublets. Numerische Mathematik 138 (3) (2018)
Bernhard Beckermann, Daniel Kressner, Marcel Schweitzer
Low-rank updates of matrix functions. CoRR (2017)
Bernhard Beckermann, Alex Townsend
On the Singular Values of Matrices with Displacement Structure. SIAM J. Matrix Anal. Appl. 38 (4) (2017)
Bernhard Beckermann, Ana C. Matos
Algebraic properties of robust Padé approximants. J. Approx. Theory 190 (2015)
Bernhard Beckermann, Daniel Kressner, Christine Tobler
An Error Analysis of Galerkin Projection Methods for Linear Systems with Tensor Product Structure. SIAM J. Numer. Anal. 51 (6) (2013)
Bernhard Beckermann, Stefan Güttel
Superlinear convergence of the rational Arnoldi method for the approximation of matrix functions. Numerische Mathematik 121 (2) (2012)
Bernhard Beckermann, Daniel Bessis, Luca Perotti, Daniel Vrinceanu
Computing high precision Matrix Padé approximants. Numer. Algorithms 61 (2) (2012)
Bernhard Beckermann
An Error Analysis for Rational Galerkin Projection Applied to the Sylvester Equation. SIAM J. Numer. Anal. 49 (6) (2011)
Bernhard Beckermann, Valeriy A. Kalyagin, Ana C. Matos, Franck Wielonsky
How well does the Hermite-Padé approximation smooth the Gibbs phenomenon? Math. Comput. 80 (274) (2011)
Bernhard Beckermann, Maxim S. Derevyagin, Alexei S. Zhedanov
The linear pencil approach to rational interpolation. J. Approx. Theory 162 (6) (2010)
Bernhard Beckermann, Stefan Güttel, Raf Vandebril
On the Convergence of Rational Ritz Values. SIAM J. Matrix Anal. Appl. 31 (4) (2010)
Bernhard Beckermann, Lothar Reichel
Error Estimates and Evaluation of Matrix Functions via the Faber Transform. SIAM J. Numer. Anal. 47 (5) (2009)
Hédi Joulak, Bernhard Beckermann
On Gautschi's conjecture for generalized Gauss-Radau and Gauss-Lobatto formulae. J. Comput. Appl. Math. 233 (3) (2009)
Bernhard Beckermann, George Labahn
Fraction-free computation of simultaneous padé approximants. ISSAC (2009)
Bernhard Beckermann, Lothar Reichel
The Arnoldi Process and GMRES for Nearly Symmetric Matrices. SIAM J. Matrix Anal. Appl. 30 (1) (2008)
Bernhard Beckermann, Stefano Serra Capizzano
On the Asymptotic Spectrum of Finite Element Matrix Sequences. SIAM J. Numer. Anal. 45 (2) (2007)
Bernhard Beckermann, Gene H. Golub, George Labahn
On the numerical condition of a generalized Hankel eigenvalue problem. Numerische Mathematik 106 (1) (2007)
Bernhard Beckermann, George Labahn, Gilles Villard
Normal forms for general polynomial matrices. J. Symb. Comput. 41 (6) (2006)
Bernhard Beckermann, Howard Cheng, George Labahn
Fraction-free row reduction of matrices of Ore polynomials. J. Symb. Comput. 41 (5) (2006)
Bernhard Beckermann, J. Coussement, Walter Van Assche
Multiple Wilson and Jacobi-Piñeiro polynomial. J. Approx. Theory 132 (2) (2005)
Bernhard Beckermann, Sergei A. Goreinov, E. E. Tyrtyshnikov
Some Remarks on the Elman Estimate for GMRES. SIAM J. Matrix Anal. Appl. 27 (3) (2005)
Bernhard Beckermann, A. Osipov
Some Spectral Properties of Infinite Band Matrices. Numer. Algorithms 34 (2-4) (2003)
Bernhard Beckermann, Howard Cheng, George Labahn
Fraction-free row reduction of matrices of skew polynomials. ISSAC (2002)
Bernhard Beckermann, Arno B. J. Kuijlaars
Superlinear Convergence of Conjugate Gradients. SIAM J. Numer. Anal. 39 (1) (2001)
Bernhard Beckermann
The condition number of real Vandermonde, Krylov and positive definite Hankel matrices. Numerische Mathematik 85 (4) (2000)
Bernhard Beckermann, George Labahn
Effective Computation of Rational Approximants and Interpolants. Reliab. Comput. 6 (4) (2000)
Bernhard Beckermann, George Labahn
Fraction-Free Computation of Matrix Rational Interpolants and Matrix GCDs. SIAM J. Matrix Anal. Appl. 22 (1) (2000)
Bernhard Beckermann, George Labahn, Gilles Villard
Shifted Normal Forms of Polynomial Matrices. ISSAC (1999)
Bernhard Beckermann, George Labahn
When are Two Numerical Polynomials Relatively Prime? J. Symb. Comput. 26 (6) (1998)
Bernhard Beckermann, George Labahn
A Fast and Numerically Stable Euclidean-Like Algorithm for Detecting Relatively Prime Numerical Polynomials. J. Symb. Comput. 26 (6) (1998)
Peter R. Graves-Morris, Bernhard Beckermann
The compass (star) identity for vector-valued rational interpolants. Adv. Comput. Math. 7 (3) (1997)
Bernhard Beckermann, Stanley Cabay, George Labahn
Fraction-free Computation of Catrix Padé Systems. ISSAC (1997)
Bernhard Beckermann
The stable computation of formal orthogonal polynomials. Numer. Algorithms 11 (1) (1996)
Bernhard Beckermann, George Labahn
A Uniform Approach for the Fast Computation of Matrix-Type Padé Approximants. SIAM J. Matrix Anal. Appl. 15 (3) (1994)
Bernhard Beckermann, George Labahn
A uniform approach for Hermite Padé and simultaneous Padé approximants and their matrix-type generalizations. Numer. Algorithms 3 (1) (1992)
Bernhard Beckermann, Carsten Carstensen
A reliable modification of the cross rule for rational Hermite interpolation. Numer. Algorithms 3 (1) (1992)