Newton Method

[bshoring]

(05-13-2016 01:59 PM)Namir Wrote:  The short equation to calculate h was suggested by my Numerical Analysis professor, Brice Carnahan, at the University of Michigan. I have used it for over 30 years and it works like a charm! Carnahan is the co-author of "Applied Numerical Methods" a book that uses FORTRAN code. I bought his book, in Paris, many months before I attended his class at the University of Michigan.

The equation for calculating h is very convenient in high-level programming languages.

Namir

Namir, I plugged your formula into the above program. Using the example equation given above, with guesses of 0 & -1, it reached the same result with the same number of iterations (5). However with a guess of 1, yours converged faster, cutting the number of iterations from 25 to 18. Interesting!

Thanks!