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About Hölder condition numbers and the stratification diagram for defective eigenvalues

Author

Listed:
  • Chaitin-Chatelin, F.
  • Harrabi, A.
  • Ilahi, A.

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].

Suggested Citation

  • Chaitin-Chatelin, F. & Harrabi, A. & Ilahi, A., 2000. "About Hölder condition numbers and the stratification diagram for defective eigenvalues," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 54(4), pages 397-402.
    • Handle: RePEc:eee:matcom:v:54:y:2000:i:4:p:397-402
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