What kind of problems is it mostly used for? Please describe.
Scalar root-finding problems
Describe the algorithm you’d like
The methods of efficiency index 1.5874 described in https://doi.org/10.1016/j.mcm.2011.12.005
Other implementations to know about
NA
References
An optimized derivative-free form of the Potra–Pták method (2012)
https://doi.org/10.1016/j.mcm.2011.12.005
I came across this paper (and many more) while reading the preprint https://www.uhasselt.be/media/bpbnr3dn/newton.pdf, which also contains references to many more Newton-type methods.
What kind of problems is it mostly used for? Please describe.
Scalar root-finding problems
Describe the algorithm you’d like
The methods of efficiency index 1.5874 described in https://doi.org/10.1016/j.mcm.2011.12.005
Other implementations to know about
NA
References
An optimized derivative-free form of the Potra–Pták method (2012)
https://doi.org/10.1016/j.mcm.2011.12.005
I came across this paper (and many more) while reading the preprint https://www.uhasselt.be/media/bpbnr3dn/newton.pdf, which also contains references to many more Newton-type methods.