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math.NA2026
Sampling Pfaffian point processes and the symplectic Arnoldi method
Alan Edelman, Sungwoo Jeong, Simeon Schaub
We present an exact sampling algorithm for Pfaffian point processes based on a skew-symmetric analogue of the Cholesky factorization. This algorithm enables efficient sampling of a…
math.NA2026
The largest 5th pivot may be the root of a 61st degree polynomial
James Chen, Alan Edelman, John Urschel
This paper introduces a number of new techniques in the study of the famous question from numerical linear algebra: what is the largest possible growth factor when performing Gauss…