Failure Analysis
Newton's method is only guaranteed to converge if certain conditions are satisfied. If the assumptions made in the proof of quadratic convergence are met, the method will converge. For the following subsections, failure of the method to converge indicates that the assumptions made in the proof were not met.
Read more about this topic: Newton's Method
Famous quotes containing the word failure:
“Parents are never forgiven for not giving just the right response at the appropriate moment. Or, rather, there are particular times in the adolescent’s or young adult’s life, when a certain response is needed, and this need is not met, and the failure to meet this need is forever remembered, and is never forgiven.”
—Terri Apter (20th century)