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- W4236066961 abstract "This paper presents a detailed study on global optimal solutions to a nonconvex quadratic minimization problem with a spherical constraintConstraint discrete , which is well known as a trust region subproblem and has been studied extensively for decades. The main challenge is solving the so-called hard case, i.e., the problem has multiple solutions on the boundary of the sphere. ByCanonical duality canonical duality-triality theory, this challenging problem is able to be reformulated as a one-dimensional canonical dual problem, without any duality gaps. Results show that this problem is in the hard case if and only if certain conditions are satisfied by both the direction and normNorm of coefficient of the linear item in theObjective function objective function. A perturbation method and associated algorithms are proposed to solve hard-case problems. Theoretical results and methods are verified by numerical examples." @default.
- W4236066961 created "2022-05-12" @default.
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- W4236066961 date "2017-01-01" @default.
- W4236066961 modified "2023-10-15" @default.
- W4236066961 title "Global Solutions to Spherically Constrained Quadratic Minimization via Canonical Duality Theory" @default.
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- W4236066961 doi "https://doi.org/10.1007/978-3-319-58017-3_15" @default.
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