About Hölder condition numbers and the stratification diagram for defective eigenvalues

F. Chaitin-Chatelin, A. Harrabi and A. Ilahi

Mathematics and Computers in Simulation (MATCOM), 2000, vol. 54, issue 4, 397-402

Abstract: In this paper, we look at a particular case of application which is Hölder continuous, namely the map from a matrix A to one of its eigenvalues λ, when it is multiple defective. Two asymptotic Hölder condition numbers are considered: one (with respect to the other) is associated with a generalization of the Fréchet (with respect to Gateaux) derivative [A. Harrabi, About Hölder condition numbers of Gateaux and Fréchet type for general nonlinear functions, Manuscript — CERFACS, 1998].

Keywords: Multiple defective eigenvalue; Index; Hölder condition number; Fréchet and Gateaux derivatives; Exact arithmetic; Finite precision arithmetic; Stratification associated with the commutator AX−XA (search for similar items in EconPapers)
Date: 2000
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475400001786
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:54:y:2000:i:4:p:397-402

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().