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Subdirect sums of S-strictly diagonally dominant matrices

Subdirect sums of S-strictly diagonally dominant matrices

Conditions are given which guarantee that the k-subdirect sum of S-strictly diagonally dominant matrices (S-SDD) is also S-SDD. The same situation is analyzed for SDD matrices.The converse is also studied: given an SDD matrix C with the structure of a k-subdirect sum andpositive diagonal entries, it is shown that there …