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Local minima of quadratic forms on convex cones

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Abstract

We study the local minima and the critical values of a quadratic form on the trace of a convex cone. This variational problem leads to the development of a spectral theory that combines matrix algebra and facial analysis of convex cones.

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Correspondence to Alberto Seeger.

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Seeger, A., Torki, M. Local minima of quadratic forms on convex cones. J Glob Optim 44, 1–28 (2009). https://doi.org/10.1007/s10898-007-9225-2

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  • DOI: https://doi.org/10.1007/s10898-007-9225-2

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