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…