Geodesic
Diagonal dominance characterization of $PM$- and $PH$-matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXII, Tome 367 (2009), pp. 110-120

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New characterizations of the so-called $PM$- and $PH$-matrices in terms of generalized diagonal dominance are obtained and used to derive some of their properties. Also it is proved that a $PH$-matrix necessarily has a certain number of strictly diagonally dominant rows. Bibl. – 8 titles. 
@article{ZNSL_2009_367_a7,
     author = {L. Yu. Kolotilina},
     title = {Diagonal dominance characterization of $PM$- and $PH$-matrices},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {110--120},
     publisher = {mathdoc},
     volume = {367},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2009_367_a7/}
}
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L. Yu. Kolotilina. Diagonal dominance characterization of $PM$- and $PH$-matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXII, Tome 367 (2009), pp. 110-120. http://geodesic.mathdoc.fr/item/ZNSL_2009_367_a7/