Worse than Bisection???!!!!
07-17-2014, 08:43 PM
Post: #7
 Namir Senior Member Posts: 837 Joined: Dec 2013
RE: Worse than Bisection???!!!!
Richard A Davis suggests in his new book Practical Numerical Methods for Chemical Engineers on page 187 the following remedies (which I am paraphrasing):

1) If a remains unchanged after two iterations use:

x = b - f(b)(a - b)/(f(b) - 0.5 f(a))

Otherwise, if b remains unchanged after two iterations use:

x = b - 0.5 f(b)(a-b)/(0.5 f(b) - f(a))

Where [a, b] is the root-bracketing interval for f(x) = 0.
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 Messages In This Thread Worse than Bisection???!!!! - Namir - 01-26-2014, 02:36 PM RE: Worse than Bisection???!!!! - Thomas Klemm - 01-26-2014, 06:01 PM RE: Worse than Bisection???!!!! - Namir - 01-26-2014, 07:06 PM RE: Worse than Bisection???!!!! - Thomas Klemm - 01-26-2014, 10:53 PM RE: Worse than Bisection???!!!! - Dan W - 01-28-2014, 03:18 AM RE: Worse than Bisection???!!!! - ttw - 07-17-2014, 06:38 PM RE: Worse than Bisection???!!!! - Namir - 07-17-2014 08:43 PM

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