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- Mario Berljafa, Stefan Güttel
- SIAM J. Matrix Analysis Applications
- 2015

Generalized rational Krylov decompositions are matrix relations which, under certain conditions, are associated with rational Krylov spaces. We study the algebraic properties of such decompositions… (More)

- Vladimir Druskin, Stefan Güttel, Leonid A. Knizhnerman
- SIAM Review
- 2016

A new construction of an absorbing boundary condition for indefinite Helmholtz problems on unbounded domains is presented. This construction is based on a near-best uniform rational interpolant of… (More)

- Stefan Güttel, Roel Van Beeumen, Karl Meerbergen, Wim Michiels
- SIAM J. Scientific Computing
- 2014

- Martin J. Gander, Stefan Güttel
- SIAM J. Scientific Computing
- 2013

A novel parallel algorithm for the integration of linear initial-value problems is proposed. This algorithm is based on the simple observation that homogeneous problems can typically be integrated… (More)

- Pedro Gonnet, Stefan Güttel, Lloyd N. Trefethen
- SIAM Review
- 2013

Padé approximation is considered from the point of view of robust methods of numerical linear algebra, in particular, the singular value decomposition. This leads to an algorithm for practical… (More)

- Stefan Güttel, Eric Polizzi, Ping Tak Peter Tang, Gautier Viaud
- SIAM J. Scientific Computing
- 2015

The FEAST method for solving large sparse eigenproblems is equivalent to subspace iteration with an approximate spectral projector and implicit orthogonalization. This relation allows to characterize… (More)

- Andreas Frommer, Stefan Güttel, Marcel Schweitzer
- SIAM J. Matrix Analysis Applications
- 2014

When using the Arnoldi method for approximating f(A)b, the action of a matrix function on a vector, the maximum number of iterations that can be performed is often limited by the storage requirements… (More)

- Stefan Güttel
- 2010

- Stefan Güttel, Jennifer Pestana
- Numerical Algorithms
- 2013

We investigate the convergence of the weighted GMRES method for solving linear systems. Two different weighting variants are compared with unweighted GMRES for three model problems, giving a… (More)

- Andreas Frommer, Stefan Güttel, Marcel Schweitzer
- SIAM J. Matrix Analysis Applications
- 2014

To approximate f(A)b—the action of a matrix function on a vector—by a Krylov subspace method, restarts may become mandatory due to storage requirements for the Arnoldi basis or due to the growing… (More)