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
Brian Johnson (soccer) Brian Johnson (soccer) Brian "B.J." Johnson (born March 7, 1974) is a retired American soccer midfielder who spent five seasons in Major League Soccer with the Kansas City Wizards. He is an assistant coach with the West Virginia Mountaineers soccer team. In 1992, Johnson graduated from Granada High School in Livermore, California. He attended the Fresno State University, playing on the men's soccer team from 1992 to 1996. He spent the 1995 season training with the U.S. Olympic soccer team. In 1996, he returned to Fresno State where he was a 1996 Third Team All American. Johnson completed his degree