Title
The least squares solution of a class of generalized Sylvester-transpose matrix equations with the norm inequality constraint
Abstract
In this paper, we present an iterative method for finding the least squares solution of a class of generalized Sylvester-transpose matrix equations with the norm inequality constraint. We prove that if the constrained matrix equations are consistent, the solution can be obtained within finite iterative steps in the absence of round-off errors; if constrained matrix equations are inconsistent, the least squares solution can be obtained within finite iterative steps in the absence of round-off errors. Finally, numerical examples are provided to illustrate the efficiency of the proposed method and testify the conclusions suggested in this paper.
Year
DOI
Venue
2019
10.1007/s10898-018-0692-4
J. Global Optimization
Keywords
Field
DocType
Iterative method,Generalized Sylvester-transpose matrix equations,Norm inequality constraint,Least squares solution,Numerical experiments
Least squares,Applied mathematics,Transpose,Matrix (mathematics),Iterative method,Mathematical analysis,Inequality,Mathematics
Journal
Volume
Issue
ISSN
73
1
1573-2916
Citations 
PageRank 
References 
1
0.40
26
Authors
2
Name
Order
Citations
PageRank
Bao-Hua Huang1125.68
Changfeng Ma219729.63