Manual
Literature

Documentation

Literature

In the following list a selection of references concerning ℋ-matrices can be found.

Sabine Le Borne and Ronald Kriemann,
ℋ-FAINV: Hierarchically factored approximate inverse preconditioners,
Computing and Visualization in Science, Volume 17, Issue 3, pp 135-150,
2015.
Ronald Kriemann
ℋ-LU Factorization on Many-Core Systems,
Computing and Visualization in Science, 16, pp. 105-117,
2013.
Lars Grasedyck, Ronald Kriemann and Sabine Le Borne
Domain-decomposition based ℋ-LU preconditioning,
Numerische Mathematik 112, pp. 565-600,
2009.
Steffen Börm
SIAM J. Sci. Comput., 31:1820-1839,
2009.
Lars Grasedyck, Wolfgang Hackbusch and Ronald Kriemann
Performance of ℋ-LU Preconditioning for Sparse Matrices,
Computational Methods in Applied Mathematics 8:4, pp. 336-349,
2008.
Lars Grasedyck, Ronald Kriemann and Sabine Le Borne
Parallel blackbox ℋ-LU preconditioning for elliptic boundary value problems,
Computing and Visualization in Science 11, pp. 273-291,
2007.
Lars Grasedyck, Ronald Kriemann and Sabine Le Borne,
Preprint Nr. 115/2005, MPI Leipzig,
(submitted to "Numerische Mathematik").
Steffen Börm,
Preprint Nr. 114/2005, MPI Leipzig,
(submitted to "Numerische Mathematik").
Ronald Kriemann,
Ph.D. Thesis, University of Kiel
2005.
Sabine Le Borne, Lars Grasedyck and Ronald Kriemann,
Proceedings of the DD16, LNCSE.
Ronald Kriemann,
Computing 74, pp. 273-297,
2005.
Mario Bebendorf, Ronald Kriemann,
Computing and Visualization in Sciences, 8/3-4, pp. 121-135,
2005.
Wolfgang Hackbusch, Boris N. Khoromskij, and Ronald Kriemann,
Computing and Visualization in Sciences, 8/3-4, pp. 179-188,
2005.
Wolfgang Hackbusch, Boris N. Khoromskij, and Ronald Kriemann,
Domain Decomposition Methods in Science and Engineering, LNCSE, Vol. 40, pp. 581-589,
2004.
Wolfgang Hackbusch, Boris N. Khoromskij, and Ronald Kriemann,
Computing 73, pp. 207-243,
2004.
Lars Grasedyck, Wolfgang Hackbusch,
Computing 70, pp. 295-334
2003.
Wolfgang Hackbusch, Boris Khoromskij, Stefan Sauter,
Lectures on Applied Mathematics, pp. 9-29,
2002.
Lars Grasedyck,
Ph.D. Thesis, University of Kiel,
2001.
Wolfgang Hackbusch, Boris Khoromskij,
Computing 64, pp. 21-47,
2000.