Newton is probably not the basis for more than 50% of optimization algorithms.

algorithmica/content/english/hpc/arithmetic/newton.md

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           Newton's method is very important: it is the basis of most optimization solvers in science and engineering.

Differentiability is a very strong assumption. Although Newton’s method is widely used, there are so many optimization methods, that this statement seems improbable.

Hopefully my feedback doesn't seem to harsh. I really enjoyed reading Algorithmica so far.

No, on the contrary — thanks very much for the suggestions, and please keep them coming. I just haven't replied to them because I've been busy due to the war and stuff.

Yeah, war always sucks for almost everyone. It's sad to have so little control over such important matters.

Newton’s method is very important: it is the basis of a wide range of optimization solvers in science and engineering.