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math.NA2023
Fast and Inverse-Free Algorithms for Deflating Subspaces
James Demmel, Ioana Dumitriu, Ryan Schneider
This paper explores a key question in numerical linear algebra: how can we compute projectors onto the deflating subspaces of a regular matrix pencil , in particular without…
math.NA2023★ 3 cited
Generalized Pseudospectral Shattering and Inverse-Free Matrix Pencil Diagonalization
James Demmel, Ioana Dumitriu, Ryan Schneider
We present a randomized, inverse-free algorithm for producing an approximate diagonalization of any matrix pencil . The bulk of the algorithm rests on a randomi…