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
John Bain (soccer) League. He is currently married to Shannon Bain. They have three boys; Cameron, McEwan, and Stirling. John Bain (soccer) John Bain (born 3 June 1957 in Falkirk, Scotland) is a retired Scottish-US soccer midfielder who currently coaches youth soccer in the United States. Bain began his professional career in England before moving to the United States in 1978. Over his twenty-year playing career, Bain played for numerous leagues and teams, both indoors and out. After retiring from playing professionally, he has coached at the professional, youth club and high school levels in the US. Although born in Scotland, Bain's father