Geodesic
Bounds for the inverses of $PM$- and $PH$-matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXII, Tome 367 (2009), pp. 75-109 
L. Yu. Kolotilina. Bounds for the inverses of $PM$- and $PH$-matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXII, Tome 367 (2009), pp. 75-109. http://geodesic.mathdoc.fr/item/ZNSL_2009_367_a6/
@article{ZNSL_2009_367_a6,
     author = {L. Yu. Kolotilina},
     title = {Bounds for the inverses of $PM$- and $PH$-matrices},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {75--109},
     year = {2009},
     volume = {367},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2009_367_a6/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The paper presents new bounds for the inverses of the so-called $PM$- and $PH$-matrices. Also bounds for the spectral radii of the inverses to $PM$- and $PH$-matrices are obtained, and the monotonicity of these bounds with respect to the underlying partition of the index set is established. Finally, the so-called quasi-$PM$- and quasi-$PH$-matrices are introduced, and bounds for the inverses of such matrices are suggested. Bibl. – 10 titles.

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