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 …

Tensors, as geometric objects that describe linear or multi-linear relations between
geometric vectors, scalars, and other tensors, have provided a concise mathematical …

There are many important fields involving the multilinear system identification. A great
number of parameters to be identified is an important challenge, leading to the need for …

Industrial Internet-of-Things (IIoT) has revolutionized almost every aspect of industrial
manufacturing through industrial intelligence by incorporating production equipment, mobile …

In this paper, we define the Moore–Penrose inverse of tensors with the Einstein product, and
the explicit formulas of the Moore–Penrose inverse of some block tensors are obtained. The …

Cyber-physical-social systems (CPSS) encompassing the cyber, physical and social worlds
and the integrations among them, such as Industrial Internet of Things, has, as one of its …

In this paper, we investigate the tensor similarity and propose the T-Jordan canonical form
and its properties. The concepts of the T-minimal polynomial and the T-characteristic …

As the extension of cyber–physical systems (CPSs), cyber–physical–social systems
(CPSSs) seamlessly integrate cyber space, physical space, and social space. CPSS provide …

The notion of the Moore–Penrose inverse of a matrix has been extended to tensor case with
Einstein product, recently. In this paper, we continue this work and propose the full rank …

In the present paper, we are interested in developing iterative Krylov subspace methods in
tensor structure to solve a class of multilinear systems via the Einstein product. In particular …