Paper Info
Title
A block GCROT(m, k) method for linear systems with multiple right-hand sides.
Abstract
This study is mainly focused on iterative solution to multiple linear systems with several right-hand sides. For solving such systems efficiently, we explore a new block GCROT ( m , k ) ( BGCROT ( m , k ) ) method, which is derived by extending GCROT ( m , k ) method Jason E. Hicken, David W. Zingg, A simplified and flexible variant of GCROT for solving nonsymmetric linear systems, SIAM J. Sci. Comput. 32 (2010) 1672-1694]. We analyze its main properties. It is shown that under the condition of full rank of block residual, the Frobenius norm of the block residual generated by the proposed method is always nonincreasing. Moreover, we also present its block flexible version, BFGCROT ( m , k ) . Finally, numerical examples demonstrate that the BGCROT ( m , k ) method and its flexible variant can achieve a smoothed residual and can be more competitive than some other block solvers.
Year
DOI
Venue
2014
10.1016/j.cam.2013.06.014
J. Computational Applied Mathematics
Keywords
Field
DocType
block flexible version,jason e. hicken,block gcrot,block solvers,new block,nonsymmetric linear system,frobenius norm,flexible variant,multiple linear system,david w. zingg,multiple right-hand side,truncation,k
Rank (linear algebra),Truncation,Residual,Mathematical optimization,Linear system,Matrix norm,Mathematics
Journal
Volume
Issue
ISSN
255
C
0377-0427
Citations 
PageRank 
References 
5
0.51
13
Authors
3
Name
Order
Citations
PageRank
Jing Meng191.61
Peiyong Zhu2598.68
Hou-Biao Li37410.78