Abstract
Every element in a Euclidean Jordan algebra has a spectral decomposition. This spectral decomposition is generalization of the spectral decompositions of a matrix. In the context of Euclidean Jordan algebras, this is written using eigenvalues and the so-called Jordan frame. In this paper we de- duce the derivative of eigenvalues in the context of Euclidean Jordan algebras. We also deduce the derivative of the elements of a Jordan frame associated to the spectral decomposition.
Original language | English |
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Pages (from-to) | 114-125 |
Journal | Numerical Algebra, Control and Optimization |
Volume | 6 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Jun 2016 |
Keywords
- Differentiability
- Eigenvalues
- Euclidean Jordan algebras
- Symmetric cones