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A linearly convergent iterative method for identifying H-matrices.

Authors :
Yue, Junjie
Zhang, Liping
Huang, Zhaohui
Source :
Linear & Multilinear Algebra. Dec2019, Vol. 67 Issue 12, p2488-2503. 16p.
Publication Year :
2019

Abstract

H-matrices play an important role in applied sciences such as numerical analysis and optimization theory. An attractive question is to identify whether a given matrix is an H-matrix. In this paper, we propose a new iterative algorithm for identifying H-matrices. We show that the proposed algorithm has linear convergence and can determine the H-matrix characterization for any given matrix. Its performance is illustrated in a set of numerical tests. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03081087
Volume :
67
Issue :
12
Database :
Academic Search Index
Journal :
Linear & Multilinear Algebra
Publication Type :
Academic Journal
Accession number :
139081995
Full Text :
https://doi.org/10.1080/03081087.2018.1494696