The Asymptotic Convergence Factor for a Rectangle Under a Perturbation

Presenters/Authors

Xiezhang Li, Georgia Southern UniversityFollow

Document Type

Presentation

Presentation Date

8-15-1993

Abstract or Description

Let O be a rectangle symmetric with respect to the axes and exclude 1. The asymptotic convergence factor (ACF) for O is used to measure the rate of convergence for the asymptotically optimal semiiterative methods for solving a linear system x = Tx + c, where the spectrum of T is a subset of 0. The sensitivity of the ACF for O to a perturbation of its boundry is investigated with the application of Hardamard's variation formula. Three formulae for the sensitivity are derived.

Sponsorship/Conference/Institution

Society for Industrial and Applied Mathematics Conference on Applied Linear Algebra (SIAM)

Location

Seattle, Washington

Recommended Citation

Li, Xiezhang. 1993. "The Asymptotic Convergence Factor for a Rectangle Under a Perturbation." Department of Mathematical Sciences Faculty Presentations. Presentation 263.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/263