62 citations · 124 across the 15 of their papers we have counts for
5 papers · 1 filter
Double Well Potential Function and Its Optimization in The n-dimensional Real Space -- Part I
Shu-Cherng Fang, David Yang Gao, Gang-Xuan Lin +2
A special type of multi-variate polynomial of degree 4, called the double well potential function, is studied. When the function is bounded from below, it has a very unique propert…
On the p-regularized trust region subproblem
Yong Hsia, Ruey-Lin Sheu, Ya-xiang Yuan
The -regularized subproblem (p-RS) is a regularisation technique in computing a Newton-like step for unconstrained optimization, which globally minimizes a local quadratic appro…
Double Well Potential Function and Its Optimization in the n-dimensional Real Space - Part II
Yong Xia, Ruey-Lin Sheu, Shu-Cherng Fang +1
In contrast to taking the dual approach for finding a global minimum solution of a double well potential function, in Part II of the paper, we characterize a local minimizer, local…
S-Lemma with Equality and Its Applications
Yong Xia, Shu Wang, Ruey-Lin Sheu
Let and be two quadratic functions having symmetric matrices and . The S-lemma with equality asks when the unsolvability of the sys…
An SDP Approach For Solving Quadratic Fractional Programming Problems
Van-Bong Nguyen, Ruey-Lin Sheu, Yong Xia
This paper considers a fractional programming problem (P) which minimizes a ratio of quadratic functions subject to a two-sided quadratic constraint. As is well-known, the fraction…