Publications
Scientific Journals | Conference Proceedings | Technical Reports | Dissertation
Scientific Journals
Flexible and multi-shift induced dimension reduction algorithms for solving large sparse linear systems
Numerical Linear Algebra with Applications 22(1):1-25, 2015.
An augmented analysis of the perturbed two-sided Lanczos tridiagonalization process
Linear Algebra and its Applications 447:119-132, 2014.
Eigenvalue computations based on IDR
SIAM Journal on Matrix Analysis and Applications 34(2):283-311, 2013.
Abstract perturbed Krylov methods
Linear Algebra and its Applications 424(2-3):405-434, 2007.
Hessenberg eigenvalue–eigenmatrix relations
Linear Algebra and its Applications 414(2-3):589-606, 2006.
On Eigenvector Bounds
BIT 43(4):823-837, 2003.
Conference Proceedings
IDR: a new generation of Krylov subspace methods?
Linear Algebra and its Applications 439(4):1040-1061, 2013.
Quasi-Minimal Residual Eigenpairs
PAMM 8(1):10835-10836, 2009.
Polynomial representations from abstract perturbed Krylov methods
PAMM 6(1):725-726, 2006.
How Orthogonality is Lost in Krylov Methods
in Götz Alefeld, Jiři Rohn, Siegfried Rump and Tetsuro Yamamoto (Eds.), Symbolic Algebraic Methods and Verification Methods, pages 255-266, Springer, Wien, 2001.
Technical Reports
Variants of IDR with partial orthonormalization
Bericht 197, Institut für Mathematik, Technische Universität Hamburg-Harburg, March 2016.
On Structured Pencils arising in Sonneveld Methods
Bericht 186, Institut für Mathematik, Technische Universität Hamburg-Harburg, July 2014.
An Augmented Analysis of the Perturbed Two-sided Lanczos Tridiagonalization Process
Bericht 169, Institut für Mathematik, Technische Universität Hamburg-Harburg, December 2012.
IDR: A new generation of Krylov subspace methods?
Bericht 161, Institut für Mathematik, Technische Universität Hamburg-Harburg, April 2012.
Flexible and multi-shift induced dimension reduction algorithms for solving large sparse linear systems
Bericht 156, Institut für Numerische Simulation, Technische Universität Hamburg-Harburg, also available as Report 2011-06, DIAM, TU Delft, August 2011.
Eigenvalue computations based on IDR
Bericht 145, Institut für Numerische Simulation, Technische Universität Hamburg-Harburg, also available as Report 2010-13, SAM, ETH Zurich, Mai 2010.
Abstract perturbed Krylov methods
Bericht 89, Arbeitsbereich Mathematik 4-13, Technische Universität Hamburg-Harburg, Juli 2005.
(Hessenberg) eigenvalue-eigenmatrix relations
Bericht 78, Arbeitsbereich Mathematik 4-13, Technische Universität Hamburg-Harburg, September 2004.
b4m - A free interval arithmetic toolbox for Matlab based on BIAS
Bericht 99.2, Berichte des Forschungsschwerpunktes Informations- und Kommunikationstechnik, Arbeitsbereich Technische Informatik III 4-04, Technische Universität Hamburg-Harburg, März 1999.
Dissertation & Diplomarbeit
Krylov Subspace Methods in Finite Precision: A Unified Approach
Dissertation, Arbeitsbereich Technische Informatik III, Technische Universität Hamburg-Harburg, Mai 2003.
Symmetrien bei der numerischen Behandlung von linearen und nichtlinearen Gleichungssystemen
Diplomarbeit, Universität Hamburg, 1997.