False position method to "regula falsi" is sometimes called the Illinois algorithm. Ford (1995) summarizes and analyzes this and other similar superlinear variants of the method of false position. Put simply: When the new -value (that is, )) has the same sign as the previous one ()), meaning that the end point of the previous step will be retained, the Illinois version halves the -value of the retained end point in the next estimate computation. Suppose that in the -th iteration the bracketing interval is and that the functional value of the new calculated estimate has the same sign as . In this
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