Upper bounds for $\|A^{-1}Q\|_\infty$
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXV, Tome 514 (2022), pp. 77-87

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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.
@article{ZNSL_2022_514_a4,
     author = {L. Yu. Kolotilina},
     title = {Upper bounds for $\|A^{-1}Q\|_\infty$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {77--87},
     publisher = {mathdoc},
     volume = {514},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_514_a4/}
}
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L. Yu. Kolotilina. Upper bounds for $\|A^{-1}Q\|_\infty$. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXV, Tome 514 (2022), pp. 77-87. http://geodesic.mathdoc.fr/item/ZNSL_2022_514_a4/