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math.RA2026
On the Real Waring Rank of a Biharmonic Form
Hua-Lin Huang, Yiming Liu, Yilun Tang
We develop an effective method for determining the real Waring rank and the real border rank of biharmonic binary forms. By means of real apolarity, we convert both of these proble…
math.RA2026
Direct Sum and Direct Product Decompositions of Multivariate Functions
Hua-Lin Huang, Yiming Liu, Jianhua Xiang +1
This paper addresses the problem of whether or not a vector-valued multivariate functions can be expressed as a sum or a product of vector-valued functions in disjoint sets of vari…