6 papers
Verifiable Criteria and Properties for Interval -Tensors
Li Ye, Yisheng Song
This paper introduces interval -tensors as a natural extension of -tensors to the interval setting. We provide two practical verifiable criteria for an interval…
The analytic criterion of strict copositivity for a 4th-order 3-dimensional tensor
Mingjun Sheng, Yisheng Song
This paper focuses on the strict copositivity analysis of 4th-order 3-dimensional symmetric tensors. A necessary and sufficient condition is provided for the strict copositivity of…
Strict Copositivity for a Class of 3rd Order Symmetric Tensors
Min Li, Yisheng Song
In this article, we mainly give the strictly copositive conditions of a special class of third order three dimensional symmetric tensors. More specifically, by means of the polynom…
Positive definiteness of a class of cyclic symmetric tensors
Yisheng Song
For a 4th order 3-dimensional cyclic symmetric tensor, a sufficient and necessary condition is bulit for its positive semi-definiteness. A sufficient and necessary condition of pos…
Positive definiteness of fourth order three dimensional symmetric tensors
Yisheng Song
For a 4th order 3-dimensional symmetric tensor with its some entries or , we show the analytic sufficient and necessary conditions of its positive definiteness. By applying…
Copositivity criteria of a class of fourth order 3-dimensional symmetric tensors
Yisheng Song, Jinjie Liu
In this paper, we mainly dicuss the non-negativity conditions for quartic homogeneous polynomials with 3 variables, which is the analytic conditions of copositivity of a class of 4…