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

Voir la notice de l'article 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. 
@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},
     publisher = {mathdoc},
     volume = {367},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2009_367_a6/}
}
TY  - JOUR
AU  - L. Yu. Kolotilina
TI  - Bounds for the inverses of $PM$- and $PH$-matrices
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2009
SP  - 75
EP  - 109
VL  - 367
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2009_367_a6/
LA  - ru
ID  - ZNSL_2009_367_a6
ER  - 
%0 Journal Article
%A L. Yu. Kolotilina
%T Bounds for the inverses of $PM$- and $PH$-matrices
%J Zapiski Nauchnykh Seminarov POMI
%D 2009
%P 75-109
%V 367
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2009_367_a6/
%G ru
%F ZNSL_2009_367_a6
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/