- Ryan Hirst
Consider a sequence of x-values: Begin with , chosen at pleasure. Draw the tangent to the curve at x0: The x-intercept of this tangent line, is the next number in the sequence:
Assuming f(x) has at least one real zero, under what conditions does it converge to a real zero of f(x)? If I choose x0 blindly, the sequence can be grumpy. How can we help it along?