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- W4310632901 abstract "We generalize several important results from the perturbation theory of linear operators to the setting of semisimple orthogonal symmetric Lie algebras. These Lie algebras provide a unifying framework for various notions of matrix diagonalization, such as the eigenvalue decomposition of real symmetric or complex Hermitian matrices, and the real or complex singular value decomposition. Concretely, given a path of structured matrices with a certain smoothness, we study what kind of smoothness one can obtain for the corresponding diagonalization of the matrices." @default.
- W4310632901 created "2022-12-13" @default.
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- W4310632901 date "2022-12-01" @default.
- W4310632901 modified "2023-09-28" @default.
- W4310632901 title "Analytic, Differentiable and Measurable Diagonalizations in Symmetric Lie Algebras" @default.
- W4310632901 doi "https://doi.org/10.48550/arxiv.2212.00713" @default.
- W4310632901 hasPublicationYear "2022" @default.
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