Title of article :
On sufficient conditions for the total positivity and for the multiple positivity of matrices
Author/Authors :
Olga M. Katkova، نويسنده , , Anna M. Vishnyakova، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2006
Abstract :
The following theorem is proved.
Theorem
Suppose M = (ai,j) be a k × k matrix with positive entries and . Then det M > 0.
The constant in this theorem is sharp. A few other results concerning totally positive and multiply positive matrices are obtained.
Keywords :
Toeplitz matrix , Hankel matrix , Totally positive matrix , P?lya frequency sequence , Multiply positive matrix , Strictly totally positive matrix
Journal title :
Linear Algebra and its Applications
Journal title :
Linear Algebra and its Applications
