Document Zbl 0801.65057

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Local minimizers of quadratic functions on Euclidean balls and spheres. (English) Zbl 0801.65057

SIAM J. Optim. 4, No. 1, 159-176 (1994).

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)

Cited in 56 Documents

MSC:

65K05	Numerical mathematical programming methods
90C20	Quadratic programming

Keywords:

local minimizers; quadratic functions; quadratic constraints; trust regions

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