3 papers
cs.SC2024
Probabilistic Shoenfield Machines
Maksymilian Bujok, Adam Mata
The article provides the theoretical framework of Probabilistic Shoenfield Machines (PSMs), an extension of the classical Shoenfield Machine that models randomness in the computati…
math.NA2023
Numerical stability of the symplectic factorization
Maksymilian Bujok, Miroslav Rozložník, Agata Smoktunowicz +1
In this paper we give the detailed error analysis of two algorithms and for computing the symplectic factorization of a symmetric positive definite and symplectic matri…
math.NA2022
On computing the symplectic factorization
Maksymilian Bujok, Alicja Smoktunowicz, Grzegorz Borowik
We analyze two algorithms for computing the symplectic factorization of a given symmetric positive definite symplectic matrix . The first algorithm is an i…