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Articles

Subdirect sums of weakly chained diagonally dominant matrices

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Pages 1220-1231 | Received 24 Nov 2015, Accepted 02 Sep 2016, Published online: 19 Sep 2016
 

Abstract

Some sufficient conditions ensuring that the subdirect sum of two weakly chained diagonally dominant matrices is in this class, are given. In particular, it is shown that the subdirect sum of overlapping principal submatrices of a weakly chained diagonally dominant matrix is also a weakly chained diagonally dominant matrix.

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Acknowledgements

The authors are grateful to the referees and the editor Prof. Bojan Kuzma for their useful and constructive suggestions.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by National Natural Science Foundations of China [grant number 11361074], [grant number 11601473]; CAS ‘Light of West China’ Program.

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