2 papers
math.RA2025
Eigenvalues and equivalence classes of third-order symmetric tensors
Lishan Fang, Hua-Lin Huang, Shengyuan Ruan +1
This paper demonstrates that third-order real symmetric tensors cannot be classified up to equivalence by their eigenvalues only, thereby resolving a problem posed by Qi in 2006. B…
math.NT2023
Solving cubic equations by completing the cube and higher degree equations by completing powers
Hua-Lin Huang, Shengyuan Ruan, Xiaodan Xu +1
We derive the Cardano formula of cubic equations by completing the cube, and provide radical solutions to some algebraic equations of higher degree by completing powers. The main i…