A stable algorithm for computing a nearby defective matrix

Authors

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

Keywords:

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

Abstract

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.

Downloads

Published

2025-07-23

How to Cite

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

Issue

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

Section

Articles