Articles in Journals
- IDR(s) and IDR(s)Eig in Parallel Computing, Jens-Peter M. Zemke, Supercomputing News 12(2):31-48, March 2010, the University of Tokyo (b/w-version, colored version).
- Abstract perturbed Krylov methods, Jens-Peter M. Zemke, Linear Algebra and its Applications 424(2-3):405-434, 2007. BibTeX, Citations: Google Scholar.
- Hessenberg eigenvalue–eigenmatrix relations, Jens-Peter M. Zemke, Linear Algebra and its Applications 414(2-3):589-606, 2006. BibTeX, Citations: Google Scholar, Science Direct Top 25. At the time of writing I was completely unaware of the brilliant technical report On the Eigenvalues and Eigenvectors of Hessenberg Matrices by Thomas Ericsson of Chalmers University dating to 1990.
- On Eigenvector Bounds, Siegfried M. Rump and Jens-Peter M. Zemke, BIT 43(4):823-837, 2003. BibTeX, Citations: Google Scholar.
Technical Reports
- IDR: A new generation of Krylov subspace methods?, Olaf Rendel, Anisa Rizvanolli, and Jens-Peter M. Zemke, Bericht 161, Institut für Mathematik E-10, Technische Universität Hamburg-Harburg, April 2012.
- Flexible and multi-shift induced dimension reduction algorithms for solving large sparse linear systems, Martin B. van Gijzen, Gerard L.G. Sleijpen, and Jens-Peter M. Zemke, Bericht 156, Institut für Numerische Simulation E-10, Technische Universität Hamburg-Harburg, also available as Report 2011-06, DIAM, TU Delft, August 2011.
- Eigenvalue computations based on IDR, Martin H. Gutknecht and Jens-Peter M. Zemke, Bericht 145, Institut für Numerische Simulation E-10, Technische Universität Hamburg-Harburg, also available as Report 2010-13, SAM, ETH Zurich, Mai 2010. The (non-optimized) source code used for the computations is available at http://www.tu-harburg.de/~matjz/codes/matlab/.
- Abstract perturbed Krylov methods, Jens-Peter M. Zemke, Bericht 89, Arbeitsbereich Mathematik 4-13, Technische Universität Hamburg-Harburg, Juli 2005. BibTeX.
- (Hessenberg) eigenvalue-eigenmatrix relations, Jens-Peter M. Zemke, Bericht 78, Arbeitsbereich Mathematik 4-13, Technische Universität Hamburg-Harburg, September 2004. BibTeX.
- b4m - A free interval arithmetic toolbox for Matlab based on BIAS, Jens-Peter M. Zemke, Bericht 99.2, Berichte des Forschungsschwerpunktes Informations- und Kommunikationstechnik, Arbeitsbereich Technische Informatik III 4-04, Technische Universität Hamburg-Harburg, März 1999. BibTeX, Citations: Google Scholar 1, Google Scholar 2.
Articles in Proceedings
- IDR versus other Krylov subspace solvers, Jens-Peter M. Zemke, Proceedings of a Workshop at Kyoto University, October 2011.
- Tuning IDR to fit your applications, Olaf Rendel and Jens-Peter M. Zemke, Proceedings of a Workshop at Doshisha University, October 2011.
- Quasi-Minimal Residual Eigenpairs, Jens-Peter M. Zemke, PAMM 8(1):10835-10836, 2009. BibTeX.
- Polynomial representations from abstract perturbed Krylov methods, Jens-Peter M. Zemke, PAMM 6(1):725-726, 2006. BibTeX.
- How Orthogonality is Lost in Krylov Methods, Jens-Peter M. Zemke, in Götz Alefeld, Jiři Rohn, Siegfried Rump and Tetsuro Yamamoto (Eds.), Symbolic Algebraic Methods and Verification Methods, pages 255-266, Springer, Wien, 2001. BibTeX, Citations: Google Scholar.
Dissertation & Diplomarbeit
- Krylov Subspace Methods in Finite Precision: A Unified Approach, Jens-Peter M. Zemke, Dissertation, Arbeitsbereich Technische Informatik III 4-04, Technische Universität Hamburg-Harburg, Mai 2003. Citations: Google Scholar.
- Symmetrien bei der numerischen Behandlung von linearen und nichtlinearen Gleichungssystemen, Jens-Peter M. Zemke, Diplomarbeit, Universität Hamburg, 1997. Citations: Google Scholar.
Slides of Talks
2012
- Applied Krylov subspace methods (handout) - talk at the TUHH in the frame of the Kickoff meeting of the Institute of Mathematics, July 17-18, 2012, Hamburg, Germany.
2011
- IDR versus other Krylov subspace solvers (handout) - talk at the RIMS workshop "The latest developments in theory and applications on scientific computation" at Kyoto University, October 25-27, 2011, Kyoto, Japan.
- Tuning IDR to fit your applications (handout) - talk at the "Int. Workshop on application of iterative methods to engineering and its mathematical element" at Doshisha University, October 23-24, 2011, Kyoto, Japan.
- IDR: A new generation of Krylov subspace methods? (handout) - talk at ILAS 2011, August 22 - 26, 2011, Braunschweig, Germany.
- A quick and dirty introduction to IDR (handout) - talk at the University of Bath, 2011/05/27, Bath, UK.
- IDR - A New Class of Krylov Subspace Solvers: Benefits and Drawbacks (handout) - talk at the University of Oxford, 2011/05/26, Oxford, UK.
- Krylov-Raum-Verfahren und Rundungsfehler - 10minütiger Vortrag beim ersten Science-Slam der TUHH am 16.05.2011, organisiert durch den FSR AIW/GES. Letzter Platz bei insgesamt fünf Teilnehmern.
2010
- Relations between Rayleigh Quotient Iteration and the Opitz-Larkin Method (handout) - talk at the 8th International Workshop on Accurate Solution of Eigenvalue Problems, June 28th - July 1st, 2010, TU Berlin, Germany.
- Relations between Rayleigh Quotient Iteration and Classical Root Finding Algorithms (handout) - talk at Universiteit Utrecht, 2010/03/03, 11:00-11:45, Utrecht, The Netherlands.
- IDR(s) and IDR(s)Eig in Parallel Computing (handout) - talk at The University of Tokyo, 14:00-15:00, 2010/02/12, Tokyo, Japan.
- On the behavior of IDR(s) algorithms in finite precision (handout) - talk at Kyushu University, 2010/02/09, Fukuoka, Japan.
2009
- On the genealogy of the IDR family (handout) - talk at the Technische Universität Bergakademie Freiberg, 17. Dezember 2009, Freiberg.
- Eigenvalue Perspectives of the IDR Family (handout) - talk at the 2009 SIAM Conference on Applied Linear Algebra, October 26-29, 2009, Monterey, California, USA.
- Towards a deeper understanding of Chris Paige's error analysis of the finite precision Lanczos process (handout) - talk at the seminar of the Institute of Computer Science of the Academy of Sciences of the Czech Republic, September 24th, 2009, Prag, Czech Republic.
- IDR(s)ORes and eigenvalue computations - talk at the GAMM Workshop Applied and Numerical Linear Algebra with special emphasis on Preconditioning, ETH Zurich, September 11, 2009, Zurich, Switzerland
- New ideas on IDR(s) - Vortrag im Rahmen des Oberseminares des Institutes für Numerische Simulation, 17. Juni 2009, TUHH
- IDR(s): Finite precision aspects - talk given at a special afternoon session of the DCSE symposium on IDR, June 3, 2009, Delft, Netherlands
2008
- Quasi-Minimal Residual Eigenpairs - talk at the 7th International Workshop on Accurate Solution of Eigenvalue Problems, June 9-12, 2008, Dubrovnik, Croatia
- Quasi-Minimal-Residual Eigenpairs - talk at the GAMM Annual Meeting 2008, Section 17: Applied and numerical linear algebra, Universität Bremen, 2008/04/01.
2007
- Eigenpair Extraction Using Krylov Subspaces - talk at Harrachov 2007, Computational Methods with Applications, August 19 - 25, 2007, Harrachov, Czech Republic, 2007/08/21.
2006
- On Generalized Schur Algorithms - Vortrag im Rahmen des Oberseminares des Institutes für Numerische Simulation, TUHH, 2006/12/13.
- Abstract Perturbed Krylov Methods - talk at the GAMM Annual Meeting 2006, Section 17: Applied and numerical linear algebra, Technische Universität Berlin, 2006/03/30.
- Rank-One Updates in Restarted GMRES - Vortrag im Rahmen des Oberseminares des Institutes für Numerische Simulation, TUHH, 2006/01/25.
2005
- Abstract Perturbed Krylov Methods: Just another point of view? - talk at the seminar of the Institute of Computer Science of the Academy of Sciences of the Czech Republic, 2005/03/08.
2004
- Hessenberg Eigenvalue-Eigenmatrix Relations - Vortrag beim 25. Norddeutschen Kolloquium über Angewandte Analysis und Numerische Mathematik, Universität Hamburg, 2004/05/14.
- Angepasste Krylov-Raum Verfahren für normale Matrizen (Akkomodation/Assimilation) - Vortrag im Rahmen des Oberseminares des Arbeitsbereiches Mathematik, TUHH, 2004/02/04.
2003
- Krylov Subspace Methods: Characteristic Properties Inherited in Finite Precision - talk at the Dagstuhl Seminar 03421: Theoretical and Computational Aspects of Matrix Algorithms, 12.10.-17.10.2003.
- (Q)OR Krylov Methods in Finite Precision: Inherent Characteristics - talk at the GAMM Workshop Applied and Numerical Linear Algebra with special emphasis on Applications in Medicine and Biology, Braunschweig, 2003/09/12.
- (Q)OR Methods in Finite Precision: Inherent Characteristics - talk planned for the Minisymposium on Numerical Linear Algebra that never took place, TUHH, 2003/07/07.
- Krylov Subspace Methods in Finite Precision: A Unified Approach - Dissertationsvortrag, TUHH, 2003/05/14.
2002
- Hessenberg Eigenvalue - Eigenvector Relations and their Application to the Error Analysis of Finite Precision Krylov Subspace Methods - talk at the GAMM Workshop Numerical Linear Algebra with special emphasis on Multilevel and Krylov Subspace Methods, Bielefeld, 2002/09/13.
- Finite Precision Krylov Methods in a Nutshell - talk at the conference Computational Linear Algebra with Applications, Milovy, 2002/08/08.
- Hessenberg eigenvalue - eigenvector relations and their application to the error analysis of finite precision Krylov subspace methods - talk at the Minisymposium on Numerical Linear Algebra, TUHH, 2002/07/10.
- Finite Precision Krylov Methods: Where are the Frontiers? - talk at the seminar of the Institute of Computer Science of the Academy of Sciences of the Czech Republic, 2002/05/28.
2000
- Fast Numerical Verification in MATLAB - talk at Session 121: Computer Arithmetic and Validated Numerics, 16th IMACS World Congress 2000, Lausanne, Switzerland, August 21-25, 2000.
1999
- How Orthogonality is Lost in Krylov Methods - talk at the Dagstuhl Seminar No. 99471: Symbolic-algebraic Methods and Verification Methods - Theory and Applications, 21.11.-26.11.1999.
- The Behaviour of the Finite Precision Lanczos Algorithm - talk at the Workshop on Computation and Analytic Problems in Spectral Theory, Gregynog, 1999/07/13.
so'n paar Vorlesungsfolien ...
- Zur Quadratur des Kreises (handout) - Vorlesung im Rahmen der OE Wintersemester 2009/2010 vor den Erstsemestern aus dem Studiendekanat ET/IT, 19.10.2009 und vor den Erstsemestern der Studiengänge AIW/LUM, 20.10.2009.
- Inexakte Krylov-Raum-Verfahren - von mir ausgearbeitete und abgehaltene Vorlesungseinheit der Vorlesung "Numerische Lineare Algebra" von H. Voß, Wintersemester 2007/2008, 08.01.2008.
- Zur Minimierung einer reellwertigen Funktion - Vorlesung im Rahmen der OE Wintersemester 2007/2008 vor den Erstsemestern aus dem Dekanat ET/IT, 22.10.2007.
- Inexakte Krylov-Raum-Verfahren - von mir ausgearbeitete und abgehaltene Vorlesungseinheit der Vorlesung "Numerische Lineare Algebra" von H. Voß, Wintersemester 2006/2007, 08.02.2007.
- Zur Ästhetik mathematischer Beweisführung - Vorlesung im Rahmen der OE Wintersemester 2006/2007 vor den Erstsemestern aus dem Dekanat ET/IT, 23.10.2006.
Miscellaneous
- Objektorientiertes Programmieren in Matlab 5, Artikel im TU-Info, siehe auch die Seiten der TU für LaTeX-, PostScript- und HTML-Versionen.
All my pages are constantly under re-construction ...
