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,
Mark Francis (soccer) as its women’s soccer coach, a position he holds today. Francis has led Kansas to three NCAA Tournaments, and won the Big 12 in 2004. Mark Francis (soccer) Mark Francis (born in London, England) was an English-American soccer midfielder who played in the American Soccer League, American Indoor Soccer Association, SISL and USISL. He has also coached at the high school, college and professional levels. He is currently the women's head coach of the University of Kansas. Francis attended Southern Methodist University, playing on the men’s soccer team from 1983 to 1987. During his four seasons, he was a three