math321: Inverse Quadratic Interpolation

[@AJ-et3vf]

Thank you for this lecture. Very helpful.

[@FefeUK]

Hi ... I gave a quick try to this method but a bit disappointed .. for instance if I have a continuous function with values [15 -6 -7] for [0 1 2], clearly there is a root in the interval [0, 2], but x3 in this case gives me -3,18 .. is there something that am I overlooking? I you can give some insight about this issue I would really appreciate it.

[@antonioespallardo6651]

hi .. i have a questions about inverse quadratic interpolation.. can you solve the equation without doing the graph section? and proceed to guessing the three points? thanks for a fast respond thanks

[@AJ-et3vf]

You most probably can't. You need to be able to make a close enough estimate of the root so IQI will converge. If you don't plot it, you won't be able to. The same goes for every root-finding algorithm. Plotting helps you determine a good starting value or bracket to solve the root.