Newton Method

[SlideRule]

(05-11-2016 07:54 PM)bshoring Wrote:  Can anyone point me to any examples of the Newton or Newton-Raphson method for solving f(x)=0 ? I'm looking for something that can run on the early HP programmables, like the HP-65 or 67.
There are Solve for f(x)=0 programs in the Standard packs, but I don't know if they employ the Newton method.
Thanks!

I have an excellent article/program explicitly relevant to your inquiry, but acquired from JSTOR & thus w redistribution limitations.

Code:

A Short Program for Simpson's or Gazdar's* Rule-Integration on Handheld Programmable
Calculators
Author(s): Abdus Sattar Gazdar
Source: The Two-Year College Mathematics Journal, Vol. 9, No. 3 (Jun., 1978), pp. 182-185 Published 
by: Mathematical Association of America
Stable URL: http://www.jstor.org/stable/3026695
Accessed: 31/12/2014 07:29

quoting from the article;
"A handheld programmable calculator with as few as fifty steps of memory and eight storage registers can be used to solve almost any problem one usually meets in elementary texts on calculus or numerical analysis.
There are, however, some exceptional problems that offer considerable difficulty in writing a short program to solve them within the limited memory. One such problem is that of numerical integration by Simpson's rule ... As an illustration, we give here a program for the HP-25 ... The program can also compute an improper integral ..."

If I'm misreading the redistribution release for this article, please advise via PM.

BEST!
SlideRule