Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part V, Tome 111 (1981)
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V. V. Ishkhanov. Positivity of the principal minors of a nonsingular $M$-matrix. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part V, Tome 111 (1981). http://geodesic.mathdoc.fr/item/ZNSL_1981_111_a4/
@article{ZNSL_1981_111_a4,
author = {V. V. Ishkhanov},
title = {Positivity of the principal minors of a nonsingular $M$-matrix},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {88},
year = {1981},
volume = {111},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1981_111_a4/}
}
TY - JOUR
AU - V. V. Ishkhanov
TI - Positivity of the principal minors of a nonsingular $M$-matrix
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1981
SP - 88
VL - 111
UR - http://geodesic.mathdoc.fr/item/ZNSL_1981_111_a4/
LA - ru
ID - ZNSL_1981_111_a4
ER -
%0 Journal Article
%A V. V. Ishkhanov
%T Positivity of the principal minors of a nonsingular $M$-matrix
%J Zapiski Nauchnykh Seminarov POMI
%D 1981
%P 88
%V 111
%U http://geodesic.mathdoc.fr/item/ZNSL_1981_111_a4/
%G ru
%F ZNSL_1981_111_a4
One gives an elementary proof of the known fact that if the principal minors of an $M$-matrix with a positive determinant are nonnegative, then they are positive.
