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. >> >> >> >> -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
