Abstract
In this manuscript we introduce the class of ?-matrices, which gives a new sufficient condition for the positivity of the determinant. However, we show that nonnegative ?-matrices are not necessarily P-matrices. For column stochastic matrices, the property of being a ?-matrix is weaker than strict diagonal dominance. We extend ?-matrices to tensors and call them ?-tensors. Although they are not in general P-tensors, we prove that nonnegative ?-tensors of odd order are P-tensors
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
