Abstract
In this paper, we study the positive stability of
P
-matrices. We prove that a matrix
A
is positive stable if
A
is a
P
2
-matrix and there is at least one nested sequence of principal submatrices of
A
each of which is also a
P
2
-matrix. This result generalizes the result by Carlson which shows the positive stability of sign-symmetric
P
-matrices and the result by Tang, Simsek, Ozdaglar and Acemoglu which shows the positive stability of strictly row (column) square diagonally dominant for every order of minors
P
-matrices.
Page:
190-190
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