Title
A new iteration method for the matrix equation AX = B
Abstract
An iteration method for the matrix equation AX = B is constructed. By this iteration method, the least-norm solution for the matrix equation can be obtained when the matrix equation is consistent and the least-norm least-squares solutions can be obtained when the matrix equation is not consistent. The related optimal approximation solution is also obtained by this iteration method. A preconditioned method for improving the iteration rate is put forward. Finally, some numerical examples are given. © 2006 Elsevier Inc. All rights reserved.
Year
DOI
Venue
2007
10.1016/j.amc.2006.09.059
Applied Mathematics and Computation
Keywords
Field
DocType
iteration method,matrix equation,optimal approximation
Rayleigh quotient iteration,Mathematical optimization,Modified Richardson iteration,Preconditioner,Mathematical analysis,Matrix difference equation,Fixed-point iteration,Eigendecomposition of a matrix,Mathematics,Matrix differential equation,Power iteration
Journal
Volume
Issue
ISSN
187
2
null
Citations 
PageRank 
References 
10
0.77
1
Authors
3
Name
Order
Citations
PageRank
Guo Konghua1100.77
Xiyan Hu212125.32
Lei Zhang3688.33