On the tubular eigenvalues of third-order tensors

05/10/2023
by   Fatemeh P. A. Beik, et al.
0

This paper introduces the notion of tubular eigenvalues of third-order tensors with respect to T-products of tensors and analyzes their properties. A focus of the paper is to discuss relations between tubular eigenvalues and two alternative definitions of eigenvalue for third-order tensors that are known in the literature, namely eigentuple and T-eigenvalue. In addition, it establishes a few results on tubular spectra of tensors which can be exploited to analyze the convergence of tubular versions of iterative methods for solving tensor equations.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset