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- Bernhard Beckermann, Arno B. J. Kuijlaars
- SIAM J. Numerical Analysis
- 2001

We give a theoretical explanation for superlinear convergence behavior observed while solving large symmetric systems of equations using the conjugate gradient method or other Krylov subspaceâ€¦ (More)

- Bernhard Beckermann, Howard Cheng, George Labahn
- J. Symb. Comput.
- 2006

In this paper we give formulas for performing row reduction of a matrix of Ore polynomials in a fraction-free way. The reductions can be used for finding the rank and left nullspace of such matrices.â€¦ (More)

- Bernhard Beckermann, George Labahn
- SIAM J. Matrix Analysis Applications
- 2000

We present a new set of algorithms for computation of matrix rational interpolants and one-sided matrix greatest common divisors. Examples of these interpolants include PadÃ© approximants,â€¦ (More)

- Bernhard Beckermann
- Numerische Mathematik
- 2000

We show that the Euclidean condition number of any positive deenite Hankel matrix of order n 3 may be bounded from below by n?1 =(16n) with = exp(4Catalan==) 3:210, and that this bound may beâ€¦ (More)

- Bernhard Beckermann, George Labahn
- J. Symb. Comput.
- 1998

Let a and b be two polynomials having numerical coeecients. We consider the question: when are a and b relatively prime? Since the coeecients of a and b are approximant, the question is the same as:â€¦ (More)

- Bernhard Beckermann, S. A. Goreinov, Eugene E. Tyrtyshnikov
- SIAM J. Matrix Analysis Applications
- 2005

Starting from an GMRES error estimate proposed by Elman in terms of the ratio of the smallest eigenvalue of the hermitian part and the norm of some non-symmetric matrix, we propose someâ€¦ (More)

- Bernhard Beckermann, George Labahn
- J. Symb. Comput.
- 1998

In this paper we provide a fast, numerically stable algorithm to determine when two given polynomials a and b are relatively prime and remain relatively prime even after small perturbations of theirâ€¦ (More)

- Bernhard Beckermann, George Labahn
- Numerical Algorithms
- 1992

This paper introduces the notion of apower Hermite PadÃ© approximant, a generalization of the classical scalar Hermite PadÃ© approximant. We show that this generalized form provides a unifor approachâ€¦ (More)

- Karl Deres, Claus Hobe Schroeder, +17 authors Helga Ruebsamen-Waigmann
- Science
- 2003

Chronic hepatitis B virus (HBV) infection is a major cause of liver disease. Only interferon-alpha and the nucleosidic inhibitors of the viral polymerase, 3TC and adefovir, are approved for therapy.â€¦ (More)

- Bernhard Beckermann, Lothar Reichel
- SIAM J. Numerical Analysis
- 2009

The need to evaluate expressions of the form f(A) or f(A)b, where f is a nonlinear function, A is a large sparse n Ã— n matrix, and b is an n-vector, arises in many applications. This paper describesâ€¦ (More)