Upper Bound Estimations for Infinity Norm of Inverse of SDD#1 Matrices and Its Applications
In this paper,we introduce a new subclass of nonsingular H-matrices called SDD#1 matrices,give several characteristics of SDD#1 matrices,and study the relationship between SDD#1 matrices and other subclasses of H-matrices.Based on these characteristics,an infinity norm upper bound for the inverse of SDD#1 matrices is proposed.As an application,error bound of the linear complementarity problems involving SDD#1 matrices is presented.Numeri-cal examples show that the obtained results are better than some existing ones in some cases.
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