Linear stationary second-degree methods for the solution of large linear systems
Author(s) -
David M. Young,
David R. Kincaid
Publication year - 1990
Publication title -
osti oai (u.s. department of energy office of scientific and technical information)
Language(s) - English
Resource type - Reports
DOI - 10.2172/674848
Subject(s) - rate of convergence , mathematics , degree (music) , convergence (economics) , iterative method , linear system , mathematical optimization , local convergence , mathematical analysis , computer science , physics , computer network , channel (broadcasting) , acoustics , economics , economic growth
The optimum linear stationary second-degree iterative method for solving linear systems of equations is not as good in general as the optimum semi-iterative method. However, for a suitable choice of parameters, the rate of convergence of the stationary method is very nearly as good as that of the semi-iterative method. The authors present a straightforward determination of these optimum parameter values and the asymptotic rate of convergence
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