MATLAB - Newton's Method

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[@sankoktas420]

Man's out there saving livessss!

[@michaelwirtzfeld7847]

Thank you. Can you please elaborate on the logarithmic function that was passed on in favour of the cosine function? Likely a new can or worms, but it would be nice to see a formal explanation.

[@kyuichi2225]

You're a life saver. My class at UCM holds an hour and thirty minutes of theory and comcepts 3 times a week, and 1 hour matlab discussion only on Friday. I didn't know where to start - thank you so much. By chance have you cover Lagrange interpolation in your videos ?

[@JoelRosenfeld]

I have a couple of videos on interpolation. The first video does Lagrange interpolation, and I have code for the Vandermonde approach on another video. The same polynomials at the end of the day, since interpolating n+1 points with a polynomial of degree n or less is uniquely determined

[@edgaraskryzevicius9369]

6:05 You've written xnext = xnext - f(xnext)/fdiff(xnext). Shouldn't the formula look like this: xnext = xnext - f`(xnext)/f``(xnext). First derivative divided by second derivative instead of 0th derivative divided by 1st derivative?

[@JoelRosenfeld]

Newton’s method is the zeroth divided by the first. The first divided by the second comes up in the proof of convergence, I believe. Newton’s method is a first order method, and doesn’t require the second derivative.

[@brianchoi4542]

Hello ThatMathThing. I believe you are having a trouble implementing the Newton's method with log x + x, because your derivative (in Matlab) is 1/x - x. Please see 8:41.

[@JoelRosenfeld]

Hah whoops! Thanks for catching that. I threw these videos together in a rush

[@brianchoi4542]

Otherwise all look great. Thanks for the video. -BC