Publications

Matrix Equations

L. Grasedyck:
Singular value bounds for the Cauchy matrix and solutions of Sylvester equations.
Technical Report 13, University Kiel, 2001.
L. Grasedyck:
Existence of a low rank or H-matrix approximant to the solution of a Sylvester equation.
Numerical Linear Algebra with Applications 11: 371-389, 2004.
Preprint version
L. Grasedyck, W. Hackbusch, B. Khoromskij:
Using H-matrices for the autonomous LQ control problem.
Proceedings of the 18th GAMM Seminar Leipzig on Multigrid
and related methods for optimization problems, 2002.
L. Grasedyck, W. Hackbusch, B. Khoromskij:
Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices.
Computing 70: 121--165, 2003.
Preprint version
L. Grasedyck, W. Hackbusch:
A Multigrid Method to Solve Large Scale Sylvester Equations.
SIMAX 29: 870--894, 2007.
Preprint version
L. Grasedyck:
Nonlinear multigrid for the solution of large scale Riccati equations in low-rank and H-matrix format.
Numerical Linear Algebra with Applications 15: 779--807, 2008.
Preprint version