Geodesic
Bounds on the $l_\infty$ norm of inverses for certain block matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVIII, Tome 439 (2015), pp. 145-158

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The paper suggests upper bounds for the $l_\infty$ norm of the inverses to block matrices belonging to certain subclasses of the class of block $\mathcal H$-matrices, which improve and supplement known results. 
@article{ZNSL_2015_439_a12,
     author = {L. Yu. Kolotilina},
     title = {Bounds on the $l_\infty$ norm of inverses for certain block matrices},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {145--158},
     publisher = {mathdoc},
     volume = {439},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_439_a12/}
}
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L. Yu. Kolotilina. Bounds on the $l_\infty$ norm of inverses for certain block matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVIII, Tome 439 (2015), pp. 145-158. http://geodesic.mathdoc.fr/item/ZNSL_2015_439_a12/