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Small Solver Program
12-01-2019, 12:13 AM (This post was last modified: 01-04-2020 09:58 PM by Albert Chan.)
Post: #28
RE: Small Solver Program
(11-10-2019 07:02 PM)Albert Chan Wrote:  rate iteration formula: x ← (f(x) - r x) / (1-r)

The formula actually approximate Newton's method. Smile

Let g(x) = x - f(x) → solving for x=f(x) is same as solving g(x)=0

g'(x) = 1 - f'(x) ≈ 1 - r

x ← (f(x) - r x) / (1-r) ≈ ((x - g(x)) - (1 - g'(x))*x) / g'(x) = x - g(x) / g'(x)
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Messages In This Thread
Small Solver Program - Gamo - 02-14-2019, 05:25 AM
RE: Small Solver Program - Thomas Klemm - 02-14-2019, 07:06 AM
RE: Small Solver Program - Albert Chan - 02-15-2019, 12:07 AM
RE: Small Solver Program - Thomas Klemm - 02-15-2019, 06:26 PM
RE: Small Solver Program - Albert Chan - 02-15-2019, 09:16 PM
RE: Small Solver Program - Thomas Klemm - 02-16-2019, 03:58 AM
RE: Small Solver Program - Albert Chan - 11-03-2019, 03:14 PM
RE: Small Solver Program - Albert Chan - 11-10-2019, 07:02 PM
RE: Small Solver Program - Albert Chan - 12-01-2019 12:13 AM
RE: Small Solver Program - Csaba Tizedes - 02-16-2019, 12:24 PM
RE: Small Solver Program - Thomas Klemm - 02-16-2019, 01:42 PM
RE: Small Solver Program - Csaba Tizedes - 02-16-2019, 03:24 PM
RE: Small Solver Program - Gamo - 02-17-2019, 02:57 AM
RE: Small Solver Program - Thomas Klemm - 02-17-2019, 09:06 AM
RE: Small Solver Program - Gamo - 02-17-2019, 02:33 PM
RE: Small Solver Program - Thomas Klemm - 02-17-2019, 04:57 PM
RE: Small Solver Program - Gamo - 02-18-2019, 03:49 AM
RE: Small Solver Program - Thomas Klemm - 02-18-2019, 05:20 AM
RE: Small Solver Program - Dieter - 02-18-2019, 07:46 PM
RE: Small Solver Program - Thomas Klemm - 02-18-2019, 10:22 PM
RE: Small Solver Program - Albert Chan - 02-19-2019, 01:10 AM
RE: Small Solver Program - Csaba Tizedes - 02-19-2019, 08:39 AM
RE: Small Solver Program - Thomas Klemm - 02-20-2019, 05:31 AM
RE: Small Solver Program - Csaba Tizedes - 02-25-2019, 08:39 PM
RE: Small Solver Program - Thomas Klemm - 02-20-2019, 07:22 AM
RE: Small Solver Program - Thomas Klemm - 02-24-2019, 09:21 AM
RE: Small Solver Program - Thomas Klemm - 02-25-2019, 11:00 PM
RE: Small Solver Program - Albert Chan - 01-04-2020, 07:49 PM



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