Title
A new deflated block GCROT(m, k) method for the solution of linear systems with multiple right-hand sides.
Abstract
Linear systems with multiple right-hand sides arise in many applications. To solve such systems efficiently, a new deflated block GCROT( m , k ) method is explored in this paper by exploiting a modified block Arnoldi deflation. Incorporating this modified block Arnoldi deflation, the new algorithm can address the possible linear dependence at each iteration during the block Arnoldi procedure and reduces expensive computational operations. Moreover, as a block version of GCROT( m , k ), the new method inherits the property of easy operability. Finally, some numerical examples also illustrate the effectiveness of the proposed method.
Year
DOI
Venue
2016
10.1016/j.cam.2015.12.029
J. Computational Applied Mathematics
Keywords
DocType
Volume
65F12,65L05,65N22
Journal
300
Issue
ISSN
Citations 
C
0377-0427
2
PageRank 
References 
Authors
0.35
0
3
Name
Order
Citations
PageRank
Jing Meng120.69
Hou-Biao Li27410.78
Yan-Fei Jing3679.48