--- /dev/null
+! Copyright (c) 2008 Reginald Keith Ford II.
+! See http://factorcode.org/license.txt for BSD license.
+USING: kernel math math.derivatives ;
+IN: math.newtons-method
+
+! Newton's method of approximating roots
+
+<PRIVATE
+
+: newton-step ( x function -- x2 )
+ dupd [ call ] [ derivative ] 2bi / - ; inline
+
+: newton-precision ( -- n ) 13 ; inline
+
+PRIVATE>
+
+: newtons-method ( guess function -- x )
+ newton-precision [ [ newton-step ] keep ] times drop ;