English: Graph showing a case where Newton's method fails to converge on a root. Newton's method applied to the function starting with . For this function choosing any then would cause successive approximations to alternate back and forth, so no amount of iteration would get us any closer to the root than our first guess. Function has inflection point ( method has a cycle and never converge )
Date
Source
Own work
Author
Paul Breen
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse
Captions
Add a one-line explanation of what this file represents
{{Information |Description ={{en|1=Graph showing a case where Newton's method fails to converge on a root.}} |Source =My own work |Author =Paul Breen |Date =2011-05-01 |Permission = |other_versions = }}