Geodesic
Subdirect sums of $S$-strictly diagonally dominant matrices
The electronic journal of linear algebra, Tome 15 (2006), pp. 201-209.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 and positive diagonal entries, it is shown that there are two SDD matrices whose subdirect sum is C.
Classification : 15A48, 15A18, 65F15 
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     title = {Subdirect sums of $S$-strictly diagonally dominant matrices},
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Bru, Rafael; Pedroche, Francisco; Szyld, Daniel B. Subdirect sums of $S$-strictly diagonally dominant matrices. The electronic journal of linear algebra, Tome 15 (2006), pp. 201-209. http://geodesic.mathdoc.fr/item/ELA_2006__15__a13/