Previously I had thought of Levenberg Marquardt as it's own little island, separate from the collection of line search and trust region algorithms. I guess may

Previously I had thought of Levenberg Marquardt as it's own little island, separate from the collection of line search and trust region algorithms. I guess maybe I should think of algorithms using regularized Hessians as a third category now. (Although I guess the quasi-Newton algorithms that maintain positive definiteness are regularized in a sense, so it's kind of a fuzzy categorization) I'm curious if this square root trick performs better than a well written trust region algorithm.