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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

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[2] L. Yu. Kolotilina, “Otsenki obratnykh dlya $PM$- i $PH$-matrits”, Zap. nauchn. semin. POMI, 367, 2009, 75–109 | MR

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