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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.
Acknowledgements
The authors would like to thank the editor and the anonymous referees for their helpful constructive comments and suggestions which lead to a significantly improved version of the paper.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
This project is supported by the National Natural Science Foundation of China (grant numbers 11771244, 11271221, 41374172).