2014/03/20 by Olga Y. Kushel, Kushel, Olga Y.
Mathematics · #FOS: Mathematics #Primary 15A48 Secondary 15A18 15A75 #Spectral Theory (math.SP) #math.SP #msc:15A18 #msc:15A48 #msc:15A75
paper · pdf · doi:10.48550/arxiv.1403.5099
arxiv created 2014/06/12 · arxiv updated 2014/06/13
In this paper, we study the positive stability of P-matrices. We prove that a P-matrix A is positively stable if A is a Q2-matrix and there is at least one nested sequence of principal submatrices of A each of which is also a Q2-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.