Mathematical Sciences: Faculty Presentations (1991-2022)
The Asymptotic Convergence Factor for a Rectangle Under a Perturbation
Document Type
Presentation
Presentation Date
8-15-1993
Copyright
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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."
Mathematical Sciences: Faculty Presentations (1991-2022).
Presentation 263.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/263
