4 citations · 4 across the 4 of their papers we have counts for
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A new separable property of the joint numerical range of quadratic functions and its applications to the Smallest Enclosing Ball Problem
Van-Bong Nguyen, Huu-Quang Nguyen
We explore separable property of the joint numerical range of a special class of quadratic functions and apply it to solving the smallest enclosing ball (SEB) problem…
Positive semidefinite interval of matrix pencil and its applications for the generalized trust region subproblems
Van-Bong Nguyen, Thi Ngan Nguyen
We are concerned with finding the set of real values such that the matrix pencil is positive semidefinite. If are not simultaneously diagonaliz…
Simultaneous diagonalization via congruence of real symmetric matrices and its implications in optimization
Thi-Ngan Nguyen, Van-Bong Nguyen, Thanh-Hieu Le +1
Let be a collection of real symmetric matrices. The objective of the paper is to offer an algorithm that finds a common congruence ma…
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…