00731nas a2200133 4500008004100000022001400041245007800055210006900133260000800202520029500210100002100505700002400526856004700550 2019 eng d a1615-338300aThe Real Polynomial Eigenvalue Problem is Well Conditioned on the Average0 aReal Polynomial Eigenvalue Problem is Well Conditioned on the Av cMay3 a
We study the average condition number for polynomial eigenvalues of collections of matrices drawn from some random matrix ensembles. In particular, we prove that polynomial eigenvalue problems defined by matrices with random Gaussian entries are very well conditioned on the average.
1 aBeltrán, Carlos1 aKozhasov, Khazhgali uhttps://doi.org/10.1007/s10208-019-09414-2