Abstract
In the paper, basing on the structure of Nekrasov matrices, the authors first obtain several practical criteria for judging H-matrices, then provide some criteria for identifying that a given matrix is not an H-matrix. The effectiveness of the proposed results is illustrated by numerical examples.
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Disclosure statement
No potential conflict of interest was reported by the authors.
Funding
This work was supported by the National Natural Science Foundation of China (11471279), the Key Project of Hunan Provincial Education Department of China (12A137), the Key Project of Hunan Provincial Natural Science Foundation of China (2015JJ2134), the Program for Changjiang Scholars and Innovative Research Team in University of China (IRT1179), the Hunan Provincial Innovation Foundation for Postgraduate (CX2014B254), and the National Natural Science Foundation for Youths of China (11401505).