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
Mario Sanchez (soccer) Mario Sanchez (soccer) Mario Sanchez is a retired American soccer midfielder who is the former head coach of the SIU Edwardsville Cougars men's soccer team. He played professionally in the USISL and USL A-League, winning the 1996 and 1997 USISL championship with the Central Coast Roadrunners. Sanchez graduated from Etiwanda High School in 1993. He played soccer for the Alta Loma Soccer Club which won the 1992 U-17 National Championship. He attended the California State University, Fresno, playing on the men's soccer team from 1993 to 1997. In August 1996, he tore his anterior cruciate ligament in practice and lost