Inhalt des Dokuments
Preprint 44-2003
Skew-Hamiltonian and Hamiltonian Eigenvalue Problems: Theory, Algorithms and Applications
Author(s) :
Peter Benner
,
Daniel Kressner
,
Volker Mehrmann
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 44-2003
MSC 2000
- 65F15 Eigenvalues, eigenvectors
Abstract :
Skew-Hamiltonian and
Hamiltonian eigenvalue problems arise from a number of applications,
particularly in systems and control theory.
The preservation of the underlying matrix structures
often plays an important role in these applications and may lead to
more accurate and more efficient computational methods.
We will discuss the relation of structured and unstructured condition
numbers for these problems as well as algorithms exploiting the given
matrix structures. Applications of Hamiltonian and skew-Hamiltonian
eigenproblems are briefly described.
Keywords :
Hamiltonian matrix, skew-Hamiltonian matrix, structured condition numbers, structure-preserving algorithms