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math.AG2018
On the geometry of the set of symmetric matrices with repeated eigenvalues
Paul Breiding, Khazhgali Kozhasov, Antonio Lerario
We investigate some geometric properties of the real algebraic variety of symmetric matrices with repeated eigenvalues. We explicitly compute the volume of its intersection wit…
math.NA2018
The real polynomial eigenvalue problem is well conditioned on the average
Carlos Beltran, Khazhgali Kozhasov
We study the average condition number for polynomial eigenvalues of collections of matrices drawn from various random matrix ensembles. In particular, we prove that polynomial eige…