A stable algorithm for computing a nearby defective matrix

Auteurs-es

  • R.O. Akinola Department of Mathematics, Faculty of Natural Sciences, University of Jos, Jos, Nigeria

Mots-clés :

defective matrix, Jordan block, sensitivity of eigenproblem, Newton’s method.

Résumé

Given that A is a matrix with n distinct eigenvalues, in this paper, we describe a stable numerical method for computing a nearby defective matrix to A and the distance between them. The method makes use of the Gauss-Newton method which converges quadratically and only works in the case where the nearby defective matrix is real. Numerical experiments are given which confirms the theory.

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Publié-e

2025-07-23

Comment citer

Akinola, R. . (2025). A stable algorithm for computing a nearby defective matrix. International Journal of Mathematical Analysis and Modelling, 8(1). Consulté à l’adresse https://tnsmb.org/journal/index.php/ijmam/article/view/208

Numéro

Vol. 8 No. 1 (2025): Volume 8, No. 1, 2025

Rubrique

Articles