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Title: Linear stationary second-degree methods for the solution of large linear systems

Abstract

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.

Authors:
;
Publication Date:
Research Org.:
Univ. of Texas, Center for Numerical Analysis, Austin, TX (United States)
Sponsoring Org.:
USDOE Office of Energy Research, Washington, DC (United States)
OSTI Identifier:
674848
Report Number(s):
DOE/ER/25048-40; CNA-244
ON: DE99000717; TRN: AHC29820%%303
DOE Contract Number:  
FG05-87ER25048
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 9 Jul 1990
Country of Publication:
United States
Language:
English
Subject:
99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; ITERATIVE METHODS; CONVERGENCE; OPTIMIZATION; EQUATIONS; MATRICES; MATHEMATICS

Citation Formats

Young, D.M., and Kincaid, D.R. Linear stationary second-degree methods for the solution of large linear systems. United States: N. p., 1990. Web. doi:10.2172/674848.
Young, D.M., & Kincaid, D.R. Linear stationary second-degree methods for the solution of large linear systems. United States. doi:10.2172/674848.
Young, D.M., and Kincaid, D.R. Mon . "Linear stationary second-degree methods for the solution of large linear systems". United States. doi:10.2172/674848. https://www.osti.gov/servlets/purl/674848.
@article{osti_674848,
title = {Linear stationary second-degree methods for the solution of large linear systems},
author = {Young, D.M. and Kincaid, D.R.},
abstractNote = {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.},
doi = {10.2172/674848},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Jul 09 00:00:00 EDT 1990},
month = {Mon Jul 09 00:00:00 EDT 1990}
}

Technical Report:

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