False position method those relatively unusual unfavorable situations. The failure mode is easy to detect (the same end-point is retained twice in a row) and easily remedied by next picking a modified false position, such as or down-weighting one of the endpoint values to force the next to occur on that side of the function. The factor of 2 above looks arbitrary, but it guarantees superlinear convergence (asymptotically, the algorithm will perform two regular steps after any modified step, and has order of convergence 1.442). There are other ways to pick the rescaling which give even better superlinear convergence rates. The above adjustment
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