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
Lucas Mendes (soccer) Lucas Mendes (soccer) Lucas Mendes (born December 29, 1997) is an American soccer player who currently plays for FC Baltimore in the NPSL. Mendes is usually employed as a winger, but can be used as a striker or a central midfielder. Mendes won Gatorade Player of the Year award for boys' soccer in 2016. The award is a national-recognized award given to the best high school athlete in the nation. Mendes won the award while playing for Washington-Lee High School in Arlington, Virginia. Outside of playing for the Washington-Lee Generals boys' soccer team, Mendes also played for the D.C. United