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math.NA2026
Linear Systems and Eigenvalue Problems: Open Questions from a Simons Workshop
Noah Amsel, Yves Baumann, Paul Beckman +36
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…
math.NA2026
A parametric Keldysh decomposition
Linus Balicki, Mark Embree, Serkan Gugercin
Contour integral algorithms seek to compute a small number of eigenvalues located within a bounded region of the complex plane. These methods can be applied to both linear and nonl…
math.NA2025
Polynomial Approximation to the Inverse of a Large Matrix
Mark Embree, Joel A. Henningsen, Jordan Jackson +1
The inverse of a large matrix can often be accurately approximated by a polynomial of degree significantly lower than the order of the matrix. The iteration polynomial generated by…