A. Smoktunowicz

activity

20202023

collaborators

3 papers

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…

math.RA2020

Involutive solutions of the Yang-Baxter-like matrix equation -- theory and algorithms

Alicja Smoktunowicz, Ryszard R. Andruszkiewicz

We find all explicit involutive solutions $X \in C^{n \times n}$ of the Yang-Baxter-like matrix equation $A X A = X A X$ , where $A \in C^{n \times n}$ is a given involuto…

Numerical stability of the symplectic LLT factorization

On computing the symplectic LLT factorization

Involutive solutions of the Yang-Baxter-like matrix equation -- theory and algorithms

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

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