Some classes of interval tensors and their properties

First, we define and investigate some new classes of interval tensors, called interval exceptionally regular tensors  (ER-tensor) and interval wP-tensors which is relevant to interval strictly semi-positive tensors. Also, we show that ER-tensor is a wide class of interval tensors, which includes many important structured tensors. Second, some classes of interval matrices are extended to interval tensors, such as interval R(R_۰)-tensor and column sufficient interval tensor. We discuss their relationships with interval positive semi-definite tensors and some other structured interval tensors. In addition,  necessary and sufficient conditions for interval (strictly) copositive and interval E_۰-tensors are presented and investigated. Finally, we extend the concept of the column sufficient interval matrix to the column sufficient interval tensor.

کلیدواژه ها:

Interval tensor ، Interval R-tensor ، interval exceptionally regular tensor ، column sufficient interval tensor