Trudy Instituta matematiki, Tome 17 (2009) no. 1, pp. 79-89
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O. Y. Kushel. On one class of positive matrices with minors of different signs. Trudy Instituta matematiki, Tome 17 (2009) no. 1, pp. 79-89. http://geodesic.mathdoc.fr/item/TIMB_2009_17_1_a7/
@article{TIMB_2009_17_1_a7,
author = {O. Y. Kushel},
title = {On one class of positive matrices with minors of different signs},
journal = {Trudy Instituta matematiki},
pages = {79--89},
year = {2009},
volume = {17},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMB_2009_17_1_a7/}
}
TY - JOUR
AU - O. Y. Kushel
TI - On one class of positive matrices with minors of different signs
JO - Trudy Instituta matematiki
PY - 2009
SP - 79
EP - 89
VL - 17
IS - 1
UR - http://geodesic.mathdoc.fr/item/TIMB_2009_17_1_a7/
LA - ru
ID - TIMB_2009_17_1_a7
ER -
%0 Journal Article
%A O. Y. Kushel
%T On one class of positive matrices with minors of different signs
%J Trudy Instituta matematiki
%D 2009
%P 79-89
%V 17
%N 1
%U http://geodesic.mathdoc.fr/item/TIMB_2009_17_1_a7/
%G ru
%F TIMB_2009_17_1_a7
A new class of sign-symmetric matrices is introduced in this paper. Such matrices are named strictly $\mathcal J$-sign-symmetric. The existence of the second (according to the module) positive simple eigenvalue $\lambda_2$ of a positive matrix $A$ is proved under the additional condition, that its compound matrix belongs to the introduced class of strictly $\mathcal J$-sign-symmetric matrices.
