Some investigations about a unified approach to quadratically convergent algorithms for function minimization

In 1969, Huang (Ref. 1) proposed a unified approach to quadratically convergent algorithms for function minimization without constraints; if we slightly modify a few points of his development, some other algorithms can be generated, among which several were published after 1969. It is also possible to generate a class of algorithms which provide quadratic convergence without linear search at each step.