3 problems

Unconditional convergence conjecture. The algorithm $$ converges unconditionally for $(\alpha,\beta,\theta)\in\mathbb{R}^2_{++}\times(\mathbb{R}\setminus\{0\})$ over $\mathcal{A}\t…

The shadow Douglas–Rachford splitting scheme involves a stepsize parameter $\lambda$ and a constant $L$ as in Theorem. Extended stepsize conjecture. Although the result was not pro…

Energy-error scaling conjecture. Motivated by the situation for Hamiltonian ordinary differential equations and supported by numerical experiments, the error in the energy should s…