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ORCIDBernhard Beckermann
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Journal Articles
- 2022
[j38]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): 109-144 (2022)- 2021
- [j37]Bernhard Beckermann, Mihai Putinar, Edward B. Saff, Nikos Stylianopoulos:
Perturbations of Christoffel-Darboux Kernels: Detection of Outliers. Found. Comput. Math. 21(1): 71-124 (2021) - [j36]Bernhard Beckermann, Alice Cortinovis, Daniel Kressner, Marcel Schweitzer:
Low-Rank Updates of Matrix Functions II: Rational Krylov Methods. SIAM J. Numer. Anal. 59(3): 1325-1347 (2021) - 2019
- [j35]Bernhard Beckermann, Alex Townsend:
Bounds on the Singular Values of Matrices with Displacement Structure. SIAM Rev. 61(2): 319-344 (2019) - 2018
- [j34]Bernhard Beckermann, George Labahn, Ana C. Matos:
On rational functions without Froissart doublets. Numerische Mathematik 138(3): 615-633 (2018) - [j33]Bernhard Beckermann, Daniel Kressner, Marcel Schweitzer:
Low-Rank Updates of Matrix Functions. SIAM J. Matrix Anal. Appl. 39(1): 539-565 (2018) - [j32]Bernhard Beckermann, Clara Mertens, Raf Vandebril:
On an Economic Arnoldi Method for BML-Matrices. SIAM J. Matrix Anal. Appl. 39(2): 737-768 (2018) - [j31]Silviu-Ioan Filip, Yuji Nakatsukasa, Lloyd N. Trefethen, Bernhard Beckermann:
Rational Minimax Approximation via Adaptive Barycentric Representations. SIAM J. Sci. Comput. 40(4): A2427-A2455 (2018) - 2017
- [j30]Bernhard Beckermann, Alex Townsend:
On the Singular Values of Matrices with Displacement Structure. SIAM J. Matrix Anal. Appl. 38(4): 1227-1248 (2017) - 2015
- [j29]Bernhard Beckermann, Ana C. Matos:
Algebraic properties of robust Padé approximants. J. Approx. Theory 190: 91-115 (2015) - 2013
- [j28]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): 3307-3326 (2013) - 2012
- [j27]Bernhard Beckermann, Daniel Bessis, Luca Perotti, Daniel Vrinceanu:
Computing high precision Matrix Padé approximants. Numer. Algorithms 61(2): 189-208 (2012) - [j26]Bernhard Beckermann, Stefan Güttel:
Superlinear convergence of the rational Arnoldi method for the approximation of matrix functions. Numerische Mathematik 121(2): 205-236 (2012) - 2011
- [j25]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): 931-958 (2011) - [j24]Bernhard Beckermann:
An Error Analysis for Rational Galerkin Projection Applied to the Sylvester Equation. SIAM J. Numer. Anal. 49(6): 2430-2450 (2011) - 2010
- [j23]Bernhard Beckermann, Maxim S. Derevyagin, Alexei S. Zhedanov:
The linear pencil approach to rational interpolation. J. Approx. Theory 162(6): 1322-1346 (2010) - [j22]Bernhard Beckermann, Stefan Güttel, Raf Vandebril:
On the Convergence of Rational Ritz Values. SIAM J. Matrix Anal. Appl. 31(4): 1740-1774 (2010) - 2009
- [j21]Hédi Joulak, Bernhard Beckermann:
On Gautschi's conjecture for generalized Gauss-Radau and Gauss-Lobatto formulae. J. Comput. Appl. Math. 233(3): 768-774 (2009) - [j20]Bernhard Beckermann, Lothar Reichel:
Error Estimates and Evaluation of Matrix Functions via the Faber Transform. SIAM J. Numer. Anal. 47(5): 3849-3883 (2009) - 2008
- [j19]Bernhard Beckermann, Lothar Reichel:
The Arnoldi Process and GMRES for Nearly Symmetric Matrices. SIAM J. Matrix Anal. Appl. 30(1): 102-120 (2008) - 2007
- [j18]Bernhard Beckermann, Gene H. Golub, George Labahn:
On the numerical condition of a generalized Hankel eigenvalue problem. Numerische Mathematik 106(1): 41-68 (2007) - [j17]Bernhard Beckermann, Stefano Serra-Capizzano:
On the Asymptotic Spectrum of Finite Element Matrix Sequences. SIAM J. Numer. Anal. 45(2): 746-769 (2007) - 2006
- [j16]Bernhard Beckermann, Howard Cheng, George Labahn:
Fraction-free row reduction of matrices of Ore polynomials. J. Symb. Comput. 41(5): 513-543 (2006) - [j15]Bernhard Beckermann, George Labahn, Gilles Villard:
Normal forms for general polynomial matrices. J. Symb. Comput. 41(6): 708-737 (2006) - 2005
- [j14]Bernhard Beckermann, J. Coussement, Walter Van Assche:
Multiple Wilson and Jacobi-Piñeiro polynomial. J. Approx. Theory 132(2): 155-181 (2005) - [j13]Bernhard Beckermann, Sergei A. Goreinov, E. E. Tyrtyshnikov:
Some Remarks on the Elman Estimate for GMRES. SIAM J. Matrix Anal. Appl. 27(3): 772-778 (2005) - 2003
- [j12]Bernhard Beckermann, A. Osipov:
Some Spectral Properties of Infinite Band Matrices. Numer. Algorithms 34(2-4): 173-185 (2003) - 2001
- [j11]Bernhard Beckermann, Arno B. J. Kuijlaars:
Superlinear Convergence of Conjugate Gradients. SIAM J. Numer. Anal. 39(1): 300-329 (2001) - 2000
- [j10]Bernhard Beckermann:
The condition number of real Vandermonde, Krylov and positive definite Hankel matrices. Numerische Mathematik 85(4): 553-577 (2000) - [j9]Bernhard Beckermann, George Labahn:
Effective Computation of Rational Approximants and Interpolants. Reliab. Comput. 6(4): 365-390 (2000) - [j8]Bernhard Beckermann, George Labahn:
Fraction-Free Computation of Matrix Rational Interpolants and Matrix GCDs. SIAM J. Matrix Anal. Appl. 22(1): 114-144 (2000) - 1998
- [j7]Bernhard Beckermann, George Labahn:
When are Two Numerical Polynomials Relatively Prime? J. Symb. Comput. 26(6): 677-689 (1998) - [j6]Bernhard Beckermann, George Labahn:
A Fast and Numerically Stable Euclidean-Like Algorithm for Detecting Relatively Prime Numerical Polynomials. J. Symb. Comput. 26(6): 691-714 (1998) - 1997
- [j5]Peter R. Graves-Morris, Bernhard Beckermann:
The compass (star) identity for vector-valued rational interpolants. Adv. Comput. Math. 7(3): 279-294 (1997) - 1996
- [j4]Bernhard Beckermann:
The stable computation of formal orthogonal polynomials. Numer. Algorithms 11(1): 1-23 (1996) - 1994
- [j3]Bernhard Beckermann, George Labahn:
A Uniform Approach for the Fast Computation of Matrix-Type Padé Approximants. SIAM J. Matrix Anal. Appl. 15(3): 804-823 (1994) - 1992
- [j2]Bernhard Beckermann, Carsten Carstensen:
A reliable modification of the cross rule for rational Hermite interpolation. Numer. Algorithms 3(1): 29-44 (1992) - [j1]Bernhard Beckermann, George Labahn:
A uniform approach for Hermite Padé and simultaneous Padé approximants and their matrix-type generalizations. Numer. Algorithms 3(1): 45-54 (1992)
Conference and Workshop Papers
- 2009
- [c4]Bernhard Beckermann, George Labahn:
Fraction-free computation of simultaneous padé approximants. ISSAC 2009: 15-22 - 2002
- [c3]Bernhard Beckermann, Howard Cheng, George Labahn:
Fraction-free row reduction of matrices of skew polynomials. ISSAC 2002: 8-15 - 1999
- [c2]Bernhard Beckermann, George Labahn, Gilles Villard:
Shifted Normal Forms of Polynomial Matrices. ISSAC 1999: 189-196 - 1997
- [c1]Bernhard Beckermann, Stanley Cabay, George Labahn:
Fraction-free Computation of Catrix Padé Systems. ISSAC 1997: 125-132
Informal and Other Publications
- 2021
- [i3]Bernhard Beckermann, Joanna Bisch, Robert Luce:
Computing Markov functions of Toeplitz matrices. CoRR abs/2106.05098 (2021) - 2020
- [i2]Bernhard Beckermann, Alice Cortinovis, Daniel Kressner, Marcel Schweitzer:
Low-rank updates of matrix functions II: Rational Krylov methods. CoRR abs/2008.11501 (2020) - 2017
- [i1]Bernhard Beckermann, Daniel Kressner, Marcel Schweitzer:
Low-rank updates of matrix functions. CoRR abs/1707.03045 (2017)
Coauthor Index
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