False position method those relatively unusual unfavorable situations. The failure mode is easy to detect (the same end-point is retained twice in a row) and easily remedied by next picking a modified false position, such as or down-weighting one of the endpoint values to force the next to occur on that side of the function. The factor of 2 above looks arbitrary, but it guarantees superlinear convergence (asymptotically, the algorithm will perform two regular steps after any modified step, and has order of convergence 1.442). There are other ways to pick the rescaling which give even better superlinear convergence rates. The above adjustment
Holly King (soccer) As a senior in 2012, she started every match as a holding midfielder and ranked fifth among the team with a career season-high 14 points. She earned 2012 All-America and Academic All-America, SEC Defensive Player of the Year, and All-SEC first team honors. In 2011, she was named Academic All-America and All-SEC. In February 2013, King was selected in the third round (19th overall) of the 2013 NWSL College Draft by the Washington Spirit for the inaugural season of the National Women's Soccer League. Holly King (soccer) Holly King (born March 13, 1991) is an American soccer midfielder currently playing