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math.NA2026
Recursive expansion of the matrix step function using polynomials of degree eight
Emanuel H. Rubensson, Elias Jarlebring, Gustaf Lorentzon
We consider the problem of efficiently computing the matrix step function of a large dense symmetric matrix. To this end, we introduce a recursive polynomial expansion method in wh…
math.NA2026
Conditioning and backward errors for nonlinear eigenvalue problems with eigenvector nonlinearities
Vilhelm Peterson Lithell, Victor Janssens, Elias Jarlebring +2
We consider eigenvalue condition numbers and backward errors for a class of symmetric nonlinear eigenvalue problems with eigenvector nonlinearities. For both of these quantities, w…
math.NA2026
Linear Systems and Eigenvalue Problems: Open Questions from a Simons Workshop
Noah Amsel, Yves Baumann, Paul Beckman +33
This document presents a series of open questions arising in matrix computations, i.e., the numerical solution of linear algebra problems. It is a result of working groups at the w…