1 citations · 2 across the 7 of their papers we have counts for
7 papers
Majorization and Inequalities among Complete Homogeneous Symmetric Functions
Jia Xu, Yong Yao
Inequalities among symmetric functions are fundamental in various branches of mathematics, thus motivating a systematic study of their structure. Majorization has been shown to cha…
Inequalities among Symmetric Polynomial Functions: Counter-examples and New Conjectures
Jia Xu, Yong Yao
Inequalities among symmetric polynomial functions are fundamental questions in mathematics and have various applications in science and engineering. This paper investigates a beaut…
A sufficient condition for local nonnegativity
Jia Xu, Yong Yao
A real polynomial is called local nonnegative at a point , if it is nonnegative in a neighbourhood of . In this paper, a sufficient condition for determining this propert…
A proof of Hilbert's theorem on ternary quartic forms with the ladder technique
Jia Xu, Yong Yao
This paper proposes a totally constructive approach for the proof of Hilbert's theorem on ternary quartic forms. The main contribution is the ladder technique, with which the Hilbe…
A Successive Resultant Projection for Cylindrical Algebraic Decomposition
Yong Yao, Jia Xu, Lu Yang
This note shows the equivalence of two projection operators which both can be used in cylindrical algebraic decomposition (CAD) . One is known as Brown's Projection (C. W. Brown (2…
The expansion of real forms on the simplex and applications
Yong Yao, Jia Xu, Jingzhong Zhang
If n points B_1,---,B_n$ in the standard simplex Δ_n are affinely independent, then they can span an (n-1)-simplex denoted by Λ=Con(B_1,---,B_n). Here Λcorresponds to an n*n matrix…