False position method As a result, unlike the bisection method, the width of the bracket does not tend to zero (unless the zero is at an inflection point around which ). As a consequence, the linear approximation to , which is used to pick the false position, does not improve as rapidly as possible. One example of this phenomenon is the function on the initial bracket [−1,1]. The left end, −1, is never replaced (it does not change at first and after the first three iterations, is negative on the interval) and thus the width of the bracket never falls below 1. Hence,
History of soccer in the United States 1924 when USFA created the National Amateur Cup. That spelled the death knell for the American Cup. It played its last season in 1924. Towards the end of the 1920s, a period in American soccer known as the "American Soccer Wars" ignited. The Soccer Wars regarded the internal conflicts with the American Soccer League and their affiliated clubs participating in the National Challenge Cup. The debate involved whether the United States Football Association or the American Soccer League was the true chief organization of American soccer at the time, and consequently wrecked the reputation and possibly even the popularity of