A Condition for the Superiority of the (2,2)-step Methods Over the Related Chebyshev Method
Document Type
Presentation
Presentation Date
10-23-2000
Abstract or Description
The (2,2)-step iterative method related to the optimal Chebyshev method for solving a large linear system Ax=bAx=b for a nonsymmetric matrix AA is studied closely. A condition guaranteeing the superiority of this (2,2)-step method over the Chebyshev method is derived. Interestingly, this condition involves the golden ratio. A numerical example is given to illustrate the theoretic results.
Sponsorship/Conference/Institution
Society for Industrial and Applied Mathematics Conference on Applied Linear Algebra (SIAM)
Location
Raleigh, NC
Recommended Citation
Arroyo, Edward, Xiezhang Li.
2000.
"A Condition for the Superiority of the (2,2)-step Methods Over the Related Chebyshev Method."
Department of Mathematical Sciences Faculty Presentations.
Presentation 287.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/287
