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
Midfielder as wingers behind a lone striker. In a three-man midfield, specialist wingers are sometimes deployed down the flanks alongside the central midfielder or playmaker. Even more demanding is the role of wing-back, where the wide player is expected to provide both defence and attack. As the role of winger can be classed as a forward or a midfielder, so this role blurs the divide between defender and midfielder. A winger is an attacking midfielder who is stationed in a wide position near the touchlines. Wingers such as Stanley Matthews or Jimmy Johnstone used to be classified as forwards in traditional