Commutation Principles in Euclidean Jordan Algebras and Normal Decomposition Systems
نویسندگان
چکیده
The commutation principle of Ramirez, Seeger, and Sossa [13] proved in the setting of Euclidean Jordan algebras says that when the sum of a Fréchet differentiable function Θ(x) and a spectral function F (x) is minimized over a spectral set Ω, any local minimizer a operator commutes with the Fréchet derivative Θ′(a). In this paper, we extend this result to sets and functions which are (just) invariant under algebra automorphisms. We also consider a similar principle in the setting of normal decomposition systems.
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عنوان ژورنال:
- SIAM Journal on Optimization
دوره 27 شماره
صفحات -
تاریخ انتشار 2017