Some considerations on how to solve the Sherman equation in practice

This article discusses the true nature of the problems involved in the solution of the Sherman equation in practice and demonstrates that the Fundamental Algorithm (FA) method, in association with its efficient calibration procedure, proposed by Rousseau in 1982, is still a valid solution. However, the author recognizes that the FA method is not the only valid one, and others have also been proposed. This article does not propose a new analytical method, but describes the three essential characteristics that any valid solution must have. It also suggests some mathematical search avenues to examine for discovering any new valid solution in the future.