Yisheng Song

collaborators

5 papers

math.OC2026

Verifiable Criteria and Properties for Interval $B_{π}^{R^{I}}$ -Tensors

Li Ye, Yisheng Song

This paper introduces interval $B_{π}^{R^{I}}$ -tensors as a natural extension of $B_{π}^{R}$ -tensors to the interval setting. We provide two practical verifiable criteria for an interval…

math.OC2024

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…

math.OC2024

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…

math.OC2024

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…

math.CA2024

Positive definiteness of fourth order three dimensional symmetric tensors

Yisheng Song

For a 4th order 3-dimensional symmetric tensor with its some entries $1$ or $- 1$ , we show the analytic sufficient and necessary conditions of its positive definiteness. By applying…

Verifiable Criteria and Properties for Interval BπRI​-Tensors

The analytic criterion of strict copositivity for a 4th-order 3-dimensional tensor

Strict Copositivity for a Class of 3rd Order Symmetric Tensors

Positive definiteness of a class of cyclic symmetric tensors

Positive definiteness of fourth order three dimensional symmetric tensors

Verifiable Criteria and Properties for Interval $B_{π}^{R^{I}}$ -Tensors