(34C) (11C) Summation of Infinite Alternating Series
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02-14-2021, 11:30 AM
Post: #7
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RE: (34C) (11C) Summation of Infinite Alternating Series
(02-13-2021 11:30 PM)Albert Chan Wrote: Or, Secant's method, from 2 points: (x1, y1) = (b, t[d]), (x2, y2) = (c, t[d+1]) Selection of points is arbitrary, as long as it is consistent. Example, we can use mean of 2 cumulative sum for x's, estimated error gap for y's (x1, y1) = ((b+a)/2, (b-a)/2) (x2, y2) = ((c+b)/2, (c-b)/2) Again, Secant's method, extrapolate for (x, 0) x = (c+b)/2 - (c-b)/2 * ((c+b)/2 - (b+a)/2) / ((c-b)/2 - (b-a)/2) = c - (c-b)/2 - (c-b)/2 * (c-a) / (c-2b+a) = c - (c-b)/2 * ((c-2b+a) + (c-a)) / (c-2b+a) = c - (c-b)^2 / (c-2b+a) = Aitken(a, b, c) |
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Messages In This Thread |
(34C) (11C) Summation of Infinite Alternating Series - Valentin Albillo - 02-10-2021, 06:04 PM
RE: (34C) Summation of Infinite Alternating Series - Albert Chan - 02-12-2021, 03:04 PM
RE: (34C) (11C) Summation of Infinite Alternating Series - Valentin Albillo - 02-13-2021, 05:51 PM
RE: (34C) (11C) Summation of Infinite Alternating Series - Albert Chan - 02-13-2021, 06:15 PM
RE: (34C) (11C) Summation of Infinite Alternating Series - robve - 02-13-2021, 10:34 PM
RE: (34C) (11C) Summation of Infinite Alternating Series - Albert Chan - 02-13-2021, 11:30 PM
RE: (34C) (11C) Summation of Infinite Alternating Series - Albert Chan - 02-14-2021 11:30 AM
RE: (34C) (11C) Summation of Infinite Alternating Series - robve - 02-16-2021, 01:57 AM
RE: (34C) (11C) Summation of Infinite Alternating Series - Thomas Klemm - 03-02-2022, 03:17 PM
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