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math.NA2020★ 2 cited
Well-conditioned eigenvalue problems that overflow
Carl Christian Kjelgaard Mikkelsen
In this note we present a parameterized class of lower triangular matrices. The components of the eigenvectors grow rapidly and will exceed the representational range of any finite…
cs.MS2020★ 2 cited
Parallel Robust Computation of Generalized Eigenvectors of Matrix Pencils
Carl Christian Kjelgaard Mikkelsen, Mirko Myllykoski
In this paper we consider the problem of computing generalized eigenvectors of a matrix pencil in real Schur form. In exact arithmetic, this problem can be solved using substitutio…