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arXiv · 1211.4124

Differentiable roots, eigenvalues, and eigenvectors

Armin Rainer
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Abstract

We determine the conditions for the existence of $C^p$-roots of curves of monic complex polynomials as well as for the existence of $C^p$-eigenvalues and $C^p$-eigenvectors of curves of normal complex matrices.

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Armin Rainer. 2013-01-22. Differentiable roots, eigenvalues, and eigenvectors. https://doi.org/10.1007/s11856-014-0007-5

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