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20122023
most citedSpectral Analysis of Piezoelectric Tensors

15 citations · 114 across the 31 of their papers we have counts for

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Showing 2018Show all

8 papers · 1 filter

math.OC2018

Further study on tensor absolute value equations

Chen Ling, Weijie Yan, Hongjin He +1

In this paper, we consider the {\it tensor absolute value equations} (TAVEs), which is a newly introduced problem in the context of multilinear systems. Although the system of TAVE…

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.DG2018

M-eigenvalues of Riemann Curvature Tensor of Conformally Flat Manifolds

Yun Miao, Liqun Qi, Yimin Wei

We generalized Xiang, Qi and Wei's results on the M-eigenvalues of Riemann curvature tensor to higher dimensional conformal flat manifolds. The expression of M-eigenvalues and M-ei…

math-ph2018

Minimal Integrity Bases of Invariants of Second Order Tensors in a Flat Riemannian Space

Liqun Qi, Zhenghai Huang

In this paper, we study invariants of second order tensors in an -dimensional flat Riemannian space. We define eigenvalues, eigenvectors and characteristic polynomials for secon…

math.AG2018

A Lower Bound for the Cardinality of Function Basis of Tensor Invariants

Shenglong Hu, Liqun Qi

In this article, we give a proof for that the cardinality of a function basis of the invariants for a finite dimensional real vector space by a compact group is lower bounded by th…

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…