Isospectral gradient flows for non-symmetric eigenvalue problem

Authors
Hori, G
Citation
G. Hori, Isospectral gradient flows for non-symmetric eigenvalue problem, JPN J I A M, 17(1), 2000, pp. 27-42
Citations number
10
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
ISSN journal
09167005 → ACNP
Volume
17
Issue
1
Year of publication
2000
Pages
27 - 42
Database
ISI
SICI code
0916-7005(200002)17:1<27:IGFFNE>2.0.ZU;2-8
Abstract
We derive the general formula of isospectral gradient flows on adjoint orbi ts which are related to the theory of solitons: and matrix eigenvalue probl em. The general formula includes some known examples of isospectral Rows. U sing the general formula, we obtain new dynamical systems which provide new computational algorithm for solving the eigenvalue problem of non-symmetri c matrices.