List questions from fixed-point-iteration

Published on 11 Sep 2017 - 14:04

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Using a fixed-point iteration method to find an approximation?

Published on 16 Sep 2017 - 1:25

877

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Prove fixed point iteration of $g(x) = \frac{1}{2}x + \frac{A}{2x}$ converges to $\sqrt{A}$

Published on 03 Oct 2017 - 3:39

1.4k

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Find the number of necessary fixed point iterations to get error less than $10^{-15}$

Published on 11 Oct 2017 - 20:42

1.7k

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Root of $x\sin x-1=0$ using fixed point iteration

Published on 15 Oct 2017 - 22:04

294

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Convergence and order of convergence. Compute.

Published on 17 Oct 2017 - 15:45

294

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Algorithm faster than Newton's for calculating $\sqrt{2}$

Published on 19 Oct 2017 - 10:38

132

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If $q(x)=x^2+1$, does $q^{\circ 1/2}$ exist?

Published on 21 Mar 2026 - 0:37

74

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Provide a fixed-iteration method for computing $a^{\frac{1}{n}}$ such that the order of convergence is $2$

Published on 28 Oct 2017 - 11:47

46

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unique fixed point withnumerical calculus

Published on 28 Oct 2017 - 19:20

154

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Fixed points of an iterated function

Published on 03 Nov 2017 - 2:53

6.1k

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Finding convergence rate for Bisection, Newton, Secant Methods?

Published on 10 Nov 2017 - 14:59

574

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Computing rate of convergence for fixed point iteration?

Published on 11 Nov 2017 - 17:09

144

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Proof check for a theorem of fixed point iteration

Published on 13 Nov 2017 - 14:57

116

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Minimization of Maximum Eigenvalue Error for Richardson Extrapolation

Published on 25 Mar 2026 - 15:24

List Question

Non-trivial continuous limits of repeated iteration

Using a fixed-point iteration method to find an approximation?

Prove fixed point iteration of $g(x) = \frac{1}{2}x + \frac{A}{2x}$ converges to $\sqrt{A}$

Find the number of necessary fixed point iterations to get error less than $10^{-15}$

Root of $x\sin x-1=0$ using fixed point iteration

Convergence and order of convergence. Compute.

Algorithm faster than Newton's for calculating $\sqrt{2}$

If $q(x)=x^2+1$, does $q^{\circ 1/2}$ exist?

Provide a fixed-iteration method for computing $a^{\frac{1}{n}}$ such that the order of convergence is $2$

unique fixed point withnumerical calculus

Fixed points of an iterated function

Finding convergence rate for Bisection, Newton, Secant Methods?

Computing rate of convergence for fixed point iteration?

Proof check for a theorem of fixed point iteration

Minimization of Maximum Eigenvalue Error for Richardson Extrapolation

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