Krylov Subspaces Associated with Higher-order Linear Dynamical Systems

@inproceedings{Freund2008KrylovSA,
  title={Krylov Subspaces Associated with Higher-order Linear Dynamical Systems},
  author={Roland W. Freund},
  year={2008}
}
A standard approach to model reduction of large-scale higher-order linear dynamical systems is to rewrite the system as an equivalent first-order system and then employ Krylov-subspace techniques for model reduction of first-order systems. This paper presents some results about the structure of the block-Krylov subspaces induced by the matrices of such equivalent first-order formulations of higher-order systems. Two general classes of matrices, which exhibit the key structures of the matrices… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 17 references

and P

A. Vandendorp
Van Dooren, Krylov techniques for model reduction of second order system, Technical Report 07-2004, CESAME, Université catholique de Louvain, • 2004
View 1 Excerpt

Model order reduction for large systems in computational electromagnetics

T. Wittig, R. Schuhmann, T. Weiland
Manuscript, • 2003
View 2 Excerpts

and Y

Z. Ba
Su, SOAR: A second-order Arnoldi method for the solution of the quadratic eigenvalue problem, Technical Report CSE-2003-21, Computer Science Department, University of California, Davis, California, • 2003
View 1 Excerpt

The ubiquitous Kronecker product

C. F. Van Loan
J. Comput. Appl. Math., • 2000
View 1 Excerpt

and B

R. Lozano, B. Brogliato, O. Egeland
Maschke, Dissipative Systems Analysis and Control, Springer-Verlag, London, • 2000

Similar Papers

Loading similar papers…