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
Christopher Sullivan (soccer) Christopher Sullivan (soccer) Christopher Sullivan (born April 18, 1965 in San Jose, California) is a retired U.S. soccer midfielder/forward and current soccer trainer and sports broadcaster. Sullivan began playing soccer at a young age. When he was four he began playing with West Valley S.C. He attended and played soccer at NCAA Division II powerhouse University of Tampa. He was inducted into the University of Tampa Athletic Hall of Fame in October 2010. While playing for the University of Tampa, he earned a second team Division II All American in 1986 and a first team All American in 1987. His