How can this be applied to systems? On Wednesday, May 6, 2015 at 1:28:55 AM UTC+3, Dima Pasechnik wrote: > > > > On Tuesday, 5 May 2015 20:25:46 UTC+1, Paul Royik wrote: >> >> I meant without discontinuous functions. >> What is the general approach even in numerical solving of "school" >> functions on the interval? >> > > on the interval it is the bisection method and its versions > http://en.wikipedia.org/wiki/Root-finding_algorithm > > bisection is what Sage's find_root() does, as you can see by inspecting > its code, by typing > find_root?? > > > > >> Can sage do that? >> >> On Tuesday, May 5, 2015 at 9:53:22 PM UTC+3, Dima Pasechnik wrote: >>> >>> This is an overtly optimistic point of view that find_root can solve >>> any equation on an interval. You'll need your function to be continuous, >>> at least. For systems of equations things are considerably more >>> complicated. Look up "Newton method" for one particularly popular approach. >>> >>> >>> >>>
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