Indication of a stability loss in the continuation of invariant subspaces

Mathematics and Computers in Simulation

Volumn 61, Issue 3-6, 2003, Pages 517-524

  Liberda, Ondrej ^a   Janovský, Vladimir ^a  

^a CHARLES UNIVERSITY   (Czech Republic)

Author keywords

Cayley transform; Invariant subspaces; Pathfollowing; Stability analysis; Steady states

Indexed keywords

ALGORITHMS; EIGENVALUES AND EIGENFUNCTIONS; ITERATIVE METHODS; MATHEMATICAL TRANSFORMATIONS; NUMERICAL ANALYSIS;

INVARIANT SUBSPACES (IS);

LINEAR EQUATIONS;

EID: 0037472547     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4754(02)00101-5     Document Type: Article

References (6)

1. W.J. Beyn, W. Kless, V. Thümmler, A Continuation Framework for Invariant Subspaces and Its Application to Traveling Waves, Department of Mathematics, University of Bielefeld, 1999 (Preprint).
2. T.J. Garratt, G. Moore, A. Spence, A generalized Cayley transform for the numerical detection of Hopf bifurcation points in large systems, in: Contributions in Numerical Mathematics, World Scientific, Singapore, 1993, pp. 177-195.
3. W. Govaerts, Numerical Methods for Bifurcation of Dynamical Equilibria, SIAM, Philadelphia, 2000.
4. V. Janovský, O. Liberda, Projected version of the recursive projection method algorithm, in: Proceedings of the Third Scientific Colloqium, Institute of Chemical Technology, Prague, 2001, pp. 89-100.
5. V. Janovský, O. Liberda, Continuation of invariant subspaces via RPM, Appl. Math., submitted for publication.
6. Shroff G.M., Keller H.B., Stabilization of unstable procedures: the recursive projection method. SIAM J. Numer. Anal. 30(4):1993;1099-1120.