3 papers
math-ph2018
Two Irreducible Functional Bases of Isotropic Invariants of A Fourth Order Three-Dimensional Symmetric and Traceless Tensor
Zhongming Chen, Yannan Chen, Liqun Qi +1
The elasticity tensor is one of the most important fourth order tensors in mechanics. Fourth order three-dimensional symmetric and traceless tensors play a crucial role in the stud…
math-ph2018
An Irreducible Function Basis of Isotropic Invariants of A Third Order Three-Dimensional Symmetric Tensor
Zhongming Chen, Jinjie Liu, Liqun Qi +2
In this paper, we present an eleven invariant isotropic irreducible function basis of a third order three-dimensional symmetric tensor. This irreducible function basis is a proper…
math.SP2015
The positive semi-definite cone and sum-of-squares cone of Hankel form
Zhongming Chen, Liqun Qi
In this paper, the geometry properties of Hankel form are studied, including their positive semi-definite (PSD) cone and sum-of-squares (SOS) cone. We denote them by an…