New England Numerical Analysis Day 2009

University of Rhode Island
Department of Mathematics, Lippitt Hall
April 4, 2009, 9:00am-5:30pm
main conference page

Lipschitz stability of Jordan-Weirstrass bases

Vadim Olshevsky, University of Connecticut

(joint work with Tom Bella and Upendra Prasad.)

We study Jordan-structure-preserving perturbations of matrices selfadjoint in the in- de¯nite inner product. The main result is Lipschitz stability of the corresponding so-called simil- itude matrices. The result can be reformulated as Lipschitz stability, under small perturbations, of canonical Jordan bases (i.e., eigenvectors and generalized eigenvectors enjoying a certain flipped orthonormality relation) of matrices selfadjoint in the indfinite inner product. Joint work with Tom Bella and Upendra Prasad.



Organizers

Jim Baglama (URI), Tom Bella (URI), Li Wu (URI).

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