A. Smoktunowicz

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20202023

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math.NA2023

Numerical stability of the symplectic $L L^{T}$ factorization

Maksymilian Bujok, Miroslav Rozložník, Agata Smoktunowicz +1

In this paper we give the detailed error analysis of two algorithms $W_{1}$ and $W_{2}$ for computing the symplectic factorization of a symmetric positive definite and symplectic matri…

math.NA2022

On computing the symplectic $L L^{T}$ factorization

Maksymilian Bujok, Alicja Smoktunowicz, Grzegorz Borowik

We analyze two algorithms for computing the symplectic $L L^{T}$ factorization $A = L L^{T}$ of a given symmetric positive definite symplectic matrix $A$ . The first algorithm $W_{1}$ is an i…

Numerical stability of the symplectic LLT factorization

On computing the symplectic LLT factorization

Numerical stability of the symplectic $L L^{T}$ factorization

On computing the symplectic $L L^{T}$ factorization