Matrix theory is one of the most fundamental tools of mathematics and science, and a
number of classical books on matrix analysis have been written to explore this theory. As a …

Ground penetrating radar (GPR) has emerged as a powerful non-destructive imaging tool
and widely used technology for subsurface imaging across various fields. However, one of …

A Markov chain with memory is no different from the conventional Markov chain on the
product state space. Such a Markovianization, however, increases the dimensionality …

Strong ellipticity condition (SE-condition) of the equilibrium equations for general nonlinear
elastic materials can be equivalently transformed into the SE-condition of a partially …

In particle physics, the vacuum stability of scalar potentials is to check positive definiteness
(or copositivity) of its coupling tensors, and such a coupling tensor is a 4th order and …

Two singular value inclusion sets for rectangular tensors are given. These sets provide two
upper bounds and lower bounds for the largest singular value of nonnegative rectangular …

This paper mainly considers the C-eigenvalues of a piezoelectric-type tensor. For this, we
first discuss its relationship with lk, s-singular values of a partially symmetric rectangular …

Let A be a real (p, q)-th order m× n dimensional partially symmetric rectangular tensor with p
and q even. Firstly, in order to judge the positive definiteness of A, an lp/2, q/2-singular value …

Real partially symmetric tensors arise from the strong ellipticity condition problem in solid
mechanics and the entanglement problem in quantum physics. In this paper, we try to …

In this paper, we present a cubically convergent method for finding the largest eigenvalue of
a nonnegative irreducible tensor. A cubically convergent method is used to solve an …