Term of Award
Spring 1997
Degree Name
Master of Science in Mathematics
Document Type and Release Option
Thesis (restricted to Georgia Southern)
Department
Department of Mathematics
Committee Chair
Xiezhang Li
Committee Member 1
Lila Roberts
Committee Member 2
Richard J. Hathaway
Abstract
The Chebyshev semi-iterative method, CHSIM, is probably the most often used to solve iteratively linear systems x=Mx+g, where the only requirement on the matrix M is that it be Hermitian. However, a knowledge of bounds a and b for the largest and smallest eigenvalues of the matrix is required. This thesis presents a procedure for using the CHSIM without knowledge of a or b. The procedure uses variations in the convergence factor, produced by the use of the CHSIM with approximated values of the bounds a and b, to find better approximations for these bounds. Different cases are studied and numerical results are reported.
Copyright
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Recommended Citation
Gómez Grande, Javier, "Applying the Chebyshev Semi-Iterative Method When the Bounds of the Eigenvalues Are Unknown" (1997). Legacy ETDs. 37.
https://digitalcommons.georgiasouthern.edu/etd_legacy/37
