Some remarks on Jacobi and Gauss–Seidel-type iteration methods for the matrix equation AXB=C

Zhongyun Liu, Yang Zhou, Yuelan Zhang, Lu Lin and Dongxiu Xie

Applied Mathematics and Computation, 2019, vol. 354, issue C, 305-307

Abstract: Tian, et al. proposed in [5] several Jacobi and Gauss–Seidel-type iterative methods for solving matrix equation AXB=C. Those methods were demonstrated to be effective by the given numerical experiments. However, we find that there is a technical error in the proof of the main theorem (Theorem 3.3). In this note we first show this erratum by an example. Then we establish a new convergence theorem which contains the Theorem 3.3 in [5] as a special case.

Keywords: Matrix equation; Classical splitting; Convergence; Norm (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300319301122
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:354:y:2019:i:c:p:305-307

DOI: 10.1016/j.amc.2019.02.014

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().