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Local minimizers of quadratic functions on Euclidean balls and spheres. (English) Zbl 0801.65057
Author’s summary: A characterization of the local-nonglobal minimizer of a quadratic function defined on a Euclidean ball or a sphere is given. It is proven that there exists at most one local-nonglobal minimizer and that the Lagrange multiplier that corresponds to this minimizer is the largest solution of a nonlinear scalar equation. An algorithm is proposed for computing the local-nonglobal minimizer.
Reviewer: J.Terno (Dresden)

MSC:
65K05 Numerical mathematical programming methods
90C20 Quadratic programming
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