Chengshuai Wu, Alexander Ovseevich, Michael Margaliot, On matrices whose exponential is a P-matrix, Vol. 2025 (2025), Article ID 10, pp. 1-22

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DOI: 10.23952/cot.2025.10

Received October 8, 2023; Accepted February 3, 2024; Published online Novemer 30, 2024

Abstract. A matrix is called a P-matrix if all its principal minors are positive. P-matrices have found important applications in functional analysis, mathematical programming, and dynamical systems theory. We introduce a new class of real matrices denoted $E^P$ . A matrix A is in $E^P$ if exp(At) is a P-matrix any $t\geq 0$ . We analyze the properties of this new class of matrices and describe an application of the theoretical results to opinion dynamics.

How to Cite this Article:
C. Wu, A. Ovseevich, M. Margaliot, On matrices whose exponential is a P-matrix, Commun. Optim. Theory 2025 (2025) 10.