IJPAM: Volume 65, No. 2 (2010)

NEWTON METHOD FOR REFINING
SCHUR AND GAUSS TRIANGULAR FORMS

M. Ahues$^1$, M. Hama$^2$, A. Largillier$^3$
$^{1,2,3}$Laboratoire de Mathématiques de l'Université de Saint-Étienne (LaMUSE)
Faculti des Sciences et Techniques
Université Jean Monet
23, rue Dr Paul Michelon, Saint-Étienne Cedex 02, 42023, FRANCE
$^1$email: mario.ahues@univ-st-etienne.fr
$^2$email: hamamuzafar@yahoo.com
$^3$email: larg@univ-st-etienne.fr


Abstract.We give a nonlinear equation for Schur and Gauss triangular forms and Newton method is used as a refinement scheme. Computations are performed with ill-conditioned matrices.

Received: September 13, 2010

AMS Subject Classification: 65F15, 65F30

Key Words and Phrases: Gauss triangular forms, Schur triangularization, Newton method

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 65
Issue: 2