I hope the following webpage on new roots solving algorithms based on the Arithmonic mean (a particularcase of the Rational Mean) could be of some interest for this audience:

http://mipagina.cantv.net/arithmetic/rmdef.htm

References and links can be found at its home page:

http://mipagina.cantv.net/arithmetic

Comments:

Indeed, there are very good news here, specially, for young people because from now on, by means of simple arithmetic they will be able to learn at secondary school, among many other new simple algorithms, those which have been classed as the most advanced and superb analytical methods: Halley’s, Newton’s, Bernoulli’s and Householder’s.