Abstract:
The paper suggests a general approach to deriving upper bounds for $\|A^{-1}Q\|_\infty$ from those for $\|A^{-1}\|_\infty$ for matrices $A$ belonging to different subclasses of the class of nonsingular $\mathcal{H}$-matrices. The approach is applied to SDD, $S$-SDD, OBS, OB, and Nekrasov matrices.
Key words and phrases:$l_\infty$-norm of the inverse, upper bounds, SDD matrices, $S$-SDD matrices, OB matrices, OBS matrices, Nekrasov matrices, nonsingular $\mathcal H$-matrices.
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