most citedTrust-region and -regularized subproblems: local nonglobal minimum is the second smallest objective function value among all first-order stationary points

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.OC2021

On local minimizers of generalized trust-region subproblem

Jiulin Wang, Mengmeng Song, Yong Xia

Generalized trust-region subproblem (GT) is a nonconvex quadratic optimization with a single quadratic constraint. It reduces to the classical trust-region subproblem (T) if the co…

math.OC2021★ 1 cited

Trust-region and -regularized subproblems: local nonglobal minimum is the second smallest objective function value among all first-order stationary points

Jiulin Wang, Mengmeng Song, Yong Xia

The local nonglobal minimizer of trust-region subproblem, if it exists, is shown to have the second smallest objective function value among all KKT points. This new property is ext…