Presentation
On the intersection of the classes of doubly diagonally dominant matrices and S-strictly diagonally dominant matrices
Author/s | Pedroche Sánchez, Francisco
Bru García, Rafael Cvetkovic, Ljiljana Kostic, Vladimir |
Publication Date | 2007-09 |
Deposit Date | 2016-02-19 |
Published in |
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Abstract | We denote by H0 the subclass of H-matrices consisting of all the matrices that lay simultaneously on the classes of doubly diagonally dominant (DDD) matrices (A = [aij ] ∈ Cn×n : |aii||ajj | ≥ k =i |aik| k =j |ajk|, i = ... We denote by H0 the subclass of H-matrices consisting of all the matrices that lay simultaneously on the classes of doubly diagonally dominant (DDD) matrices (A = [aij ] ∈ Cn×n : |aii||ajj | ≥ k =i |aik| k =j |ajk|, i = j) and S-strictly diagonally dominant (S-SDD) matrices. Notice that strictly doubly diagonally dominant matrices (also called Ostrowsky matrices) are a subclass of H0. Strictly diagonally dominant matrices (SDD) are also a subclass of H0. In this paper we analyze some properties of the class H0 = DDD ∩ S-SDD. |
Project ID. | MTM2004-02998 |
Citation | Pedroche Sánchez, F., Bru García, R., Cvetkovic, L. y Kostic, V. (2007). On the intersection of the classes of doubly diagonally dominant matrices and S-strictly diagonally dominant matrices. |
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