>Domingo Gomez Morin wrote: > >https://sites.google.com/site/arithmonic/roots > >In page 44 of the book shown in the link below, kth powered >matrices trivially generate either Householder's, Newton's, >Halley's and other new high-order iterated functions for >approximating roots, at any desired convergence rate k. > >No derivatives, no infinitesimal calculus, no cartesian system, >but just simple arithmetic. > >Were you taught on school on these simple high-order >root-approximating methods? > >No? > >Yes? Then show any precedent on those methods?
Can you post an example illustrating how one of your methods could be used (in an unprecedented way) to approximate sqrt(2)?