Saturday, November 10, 2007

Section 6.2

In the inverse quadratic interpolation, it says to turn the parabola that resulted from the three most recent points on its side. I was wondering if it would be more accurate and yet more complicated to use more then three points. I'm also a little unsure about turning the parabola on its side. I know it would mean that the parabola would then only cross the x axis once but it just seems a little strange that it would certainly be a good approximation for the root. I find it kindof impossible that the turned parabola would always occur there.
I understand the principles behind the inverse quadratic interpolation and quasi-newton methods pretty well but I'm not exactly sure about some of the math.

No comments: