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Note on subdirect sums of SDD(p) matrices

Qilong Liu, Jianfeng He,Lei Gao,Chaoqian Li

LINEAR & MULTILINEAR ALGEBRA（2022）

Cited 9|Views11
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Abstract
Some sufficient conditions ensuring that the subdirect sum ofp-norm strictly diagonally dominant [or, for short, SDD(p)] matrices is in the class of SDD(p) matrices, are given. In particular, it is shown that the subdirect sum of overlapping principal submatrices of an SDD(p) matrix is also an SDD(p) matrix. Some examples are also given that illustrate the conditions presented.
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Key words
Subdirect sum, SDD(p) matrices, strictly diagonally dominant
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