Recent content by Alphax

Maybe someone can point to me a source on the internet to understand the concept a bit more?

I would like to ask for help solving this problem. I've been at this problem for a few hours without making any progress. There is a picture of the problem attached in this thread. So, the question is what is the length of side 'X' used in order to get the shortest possible length for side...

This is my first post on this website. I appreciate it. DH.

f'(Xn) = 0 when Xn is a turning point. This means the there's no slope.

Please let me know if I am on the right track. Thanks in advance.

Also, the answer received 'may' vary from machine to machine. This is due to rounding-off error. http://www.physics.nyu.edu/grierlab/idl_html_help/mathematics4.html

If you use Newton's method at or near a turning point, also known as local min/max points. The tangent line at the the point will produce a gentle slope that will have a large x-intercept. The value produce in the subsequent steps are large values due to the gentleness of the slope at the local...

The equations is X(n+1) = Xn - ( f(Xn) / f'(Xn) )

tried the suggestion I tried the examples you suggested. I notice Newton's method takes longer as the decimals gets longer. The number of decimals determines the time it takes to converge. But I am not sure why. What's so special about complex number?

please elaborate The sequence of approximate roots appears to be all over the place initially, it takes a while to converge to the correct 6 decimal places. Can you please elaborate on your comment. I am not the sharpest when it comes to calculus. Thanks in advance.

Homework Statement Use Newton's method with x1 = 1 to find the root of the equation x3 - x = 1 to correct six decimal places. Do the question again with x1 = 0.6 Do the question again with x1 = 0.57 You probably need to do it in an excel sheet. With each try, it takes longer to...