On Dashnic--Zusmanovich (DZ) and Dashnic--Zusmanovich type (DZT) matrices and their inverses
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXI, Tome 472 (2018), pp. 145-165

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The paper is mainly devoted to studying the so-called Dashnic–Zusmanovich type (DZT) matrices, introduced recently. Interrelations among the DZT matrices and related subclasses of the class of nonsingular $\mathcal{H}$-matrices, namely, the Dashnic–Zusmanovich (DZ) and $S$-SDD matrices are considered. Upper bounds for the $l_\infty$-norm of the inverses to DZT, DZ, and strictly diagonally dominant (SDD) matrices are obtained.
@article{ZNSL_2018_472_a10,
     author = {L. Yu. Kolotilina},
     title = {On {Dashnic--Zusmanovich} {(DZ)} and {Dashnic--Zusmanovich} type {(DZT)} matrices and their inverses},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {145--165},
     publisher = {mathdoc},
     volume = {472},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_472_a10/}
}
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L. Yu. Kolotilina. On Dashnic--Zusmanovich (DZ) and Dashnic--Zusmanovich type (DZT) matrices and their inverses. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXI, Tome 472 (2018), pp. 145-165. http://geodesic.mathdoc.fr/item/ZNSL_2018_472_a10/