DocumentCode
2842021
Title
Generalization of Support Theory for Preconditioning
Author
Huang, Yanli
Author_Institution
Sch. of Math. & Stat., Nanjing Univ. of Inf. Sci. & Technol., Nanjing, China
fYear
2012
fDate
24-25 July 2012
Firstpage
198
Lastpage
201
Abstract
This paper is an extension of support theory for preconditioning, a set of techniques for bounding extreme eigenvalues and condition numbers for matrix pencils. Our intended application of this generalized support theory is to enable proving condition number bounds for preconditioners of general linear algebra systems, including indefinite and non-symmetric matrices, not merely symmetric positive definite (spd) systems.
Keywords
eigenvalues and eigenfunctions; matrix algebra; bounding extreme eigenvalue; condition number bounds; general linear algebra system; generalized support theory; indefinite matrices; matrix pencils; nonsymmetric matrices; preconditioning; support theory generalization; symmetric positive definite system; Convergence; Educational institutions; Eigenvalues and eigenfunctions; Iterative methods; Presses; Standards; Symmetric matrices; eigenvalue bounds; preconditioning; support number;
fLanguage
English
Publisher
ieee
Conference_Titel
Information and Computing Science (ICIC), 2012 Fifth International Conference on
Conference_Location
Liverpool
ISSN
2160-7443
Print_ISBN
978-1-4673-1985-0
Type
conf
DOI
10.1109/ICIC.2012.25
Filename
6258105
Link To Document