On Weighted Subdirect Sum of Nekrasov Matrices

Yu Wang , Jingjing Ding , Yanpei Wang

Communications on Applied Mathematics and Computation ›› : 1 -17.

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Communications on Applied Mathematics and Computation ›› :1 -17. DOI: 10.1007/s42967-026-00600-y
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On Weighted Subdirect Sum of Nekrasov Matrices
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Abstract

This paper establishes several simple sufficient conditions under which the weighted subdirect sum of two Nekrasov matrices is also in this class. The theoretical results are supported by numerical examples that demonstrate the validity and applicability of the proposed conditions.

Keywords

Subdirect sum / Weighted subdirect sum / Nekrasov matrices / Strictly diagonally dominant (SDD) matrices / 15A06 / 15A42 / 15B48

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Yu Wang, Jingjing Ding, Yanpei Wang. On Weighted Subdirect Sum of Nekrasov Matrices. Communications on Applied Mathematics and Computation 1-17 DOI:10.1007/s42967-026-00600-y

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Funding

National Natural Science Foundation of China(12201215)

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Shanghai University

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