Bounding the growth factor in Gaussian elimination for Buckley's class of complex symmetric matrices

Authors
Ikramov, KD Kucherov, AB
Citation
Kd. Ikramov et Ab. Kucherov, Bounding the growth factor in Gaussian elimination for Buckley's class of complex symmetric matrices, NUM LIN ALG, 7(5), 2000, pp. 269-274
Citations number
6
Categorie Soggetti
Mathematics
Journal title
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
ISSN journal
10705325 → ACNP
Volume
7
Issue
5
Year of publication
2000
Pages
269 - 274
Database
ISI
SICI code
1070-5325(200007/08)7:5<269:BTGFIG>2.0.ZU;2-U
Abstract
A Buckley matrix is an n x n complex symmetric matrix A = I-n + iC. where C is real symmetric positive definite. We prove that, for such A the growth factor in Gaussian elimination is not greater than (1 +root(17))/4 similar or equal to 1.28078... Copyright (C) 2000 John Wiley & Sons, Ltd.