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
Sam George (soccer) Sam George (soccer) Sam George (born June 29, 1970 in Mission Viejo, California) is a retired American soccer midfielder who played two seasons in the Western Soccer Alliance, three in the Continental Indoor Soccer League and four in Major League Soccer. George grew up playing soccer with the North Huntington Beach Futbol Club. In 1988, he entered UCLA where he played on the Bruins soccer team from 1988 to 1991. In 1990, the Bruins won the NCAA Men's Soccer Championship. In 1988, George joined the Los Angeles Heat of the Western Soccer Alliance before entering UCLA. He played for the