We investigate one of the most common analytic continuation techniques incondensed matter physics, namely the Pad\'{e} approximant. Aspects concerningits implementation in the exact muffin-tin orbitals (EMTO) method arescrutinized with special regard towards making it stable and free of artificialdefects. The electronic structure calculations are performed for solidhydrogen, and the performance of the analytical continuation is assessed bymonitoring the density of states constructed directly and via the Pad\'{e}approximation. We discuss the difference between the \textbf{k}-integrated and\textbf{k}-resolved analytical continuations, as well as describing the use ofrandom numbers and pole residues to analyze the approximant. It is found thatthe analytic properties of the approximant can be controlled by appropriatemodifications, making it a robust and reliable tool for electronic structurecalculations. At the end, we propose a route to perform analytical continuationfor the EMTO + dynamical mean field theory (DMFT) method.
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