An Adaptive Method for Solving Nonsymmetric Linear Systems Involving Applications of SCPACK
Document Type
Article
Publication Date
12-24-1992
Publication Title
Journal of Computational and Applied Mathematics
DOI
10.1016/0377-0427(92)90006-J
ISSN
0377-0427
Abstract
Consider the following (large) system of linear equations: X = TX + c, where it is assumed that T is an n × n real matrix with 1 excluded from the spectrum of T, and that c is a real vector of dimension n. This paper uses results from function theory, approximation theory and conformal mapping theory, and constructs an adaptive numerical method to solve the system above with the aid of SCPACK. This adaptive method periodically estimates the eigenvalue set to obtain near-asymptotically optimal rates of convergence of the associated (k, l)-step semi-iterative methods.
Recommended Citation
Li, Xiezhang.
1992.
"An Adaptive Method for Solving Nonsymmetric Linear Systems Involving Applications of SCPACK."
Journal of Computational and Applied Mathematics, 44 (3): 351-370.
doi: 10.1016/0377-0427(92)90006-J
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/561
