Application of Newton-Raphson: OMO Spring 2018
This year’s OMO included this problem: 13. Find the smallest positive integer for which the polynomial has a real root greater than 1.999. Solution. Equivalently, the polynomial is if is […]
2018
Sturm’s Theorem
Because it is fairly complicated, Sturm’s Theorem is best taught with an example. In the last post, we were investigating the roots of the function via Newton’s method, and we […]