Title
The generalized QMRCGSTAB algorithm for solving Sylvester-transpose matrix equations.
Abstract
In this work we generalize the Quasi-Minimal Residual Variant of the Bi-CGSTAB algorithm (QMRCGSTAB) to obtain a matrix iterative method for solving the Sylvester-transpose matrix equation ∑i=1l(AiXBi+CiXTDi)=E. In order to compare the generalized algorithm with some existing methods, we present two numerical examples.
Year
DOI
Venue
2013
10.1016/j.aml.2013.05.009
Applied Mathematics Letters
Keywords
Field
DocType
Iterative method,Sylvester matrix equation,Lyapunov matrix equation,QMRCGSTAB algorithm
Residual,Mathematical optimization,Eight-point algorithm,Transpose,Matrix (mathematics),Iterative method,Mathematical analysis,Algorithm,Generalized algorithm,Mathematics
Journal
Volume
Issue
ISSN
26
10
0893-9659
Citations 
PageRank 
References 
20
0.99
10
Authors
1
Name
Order
Citations
PageRank
Masoud Hajarian134524.18