Question

Is there a way to study "how good" is the Newton's Raphson method applied to a function?

score 55 · Answer 1 · 2016-03-29 15:57:45

55

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Is there a way to study "how good" is the Newton's Raphson method applied to a function?

Published on 29 Mar 2016 - 15:57

score 3k · Answer 2 · 2026-03-26 02:48:49

3k

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When to use Newtons's, bisection, fixed-point iteration and the secant methods?

Published on 26 Mar 2026 - 2:48

score 508 · Answer 3 · 2026-03-26 16:06:29

508

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Convergence of the quadratic map $\left(x-\left(x-\left(x- \dots \right)^2 \right)^2 \right)^2$?

Published on 26 Mar 2026 - 16:06

score 1.8k · Answer 4 · 2016-04-08 14:13:50

1.8k

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Why does newton's method of successive approximation to compute square roots work?

Published on 08 Apr 2016 - 14:13

score 955 · Answer 5 · 2026-03-28 22:55:12

955

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Newton's method for square roots 'jumps' through the continued fraction convergents

Published on 28 Mar 2026 - 22:55

score 70 · Answer 6 · 2016-04-09 10:02:03

70

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Why the tangent line is $y = f'(x_n) (x - x_n) + f(x_n)$ at $x = x_n$?

Published on 09 Apr 2016 - 10:02

score 1.2k · Answer 7 · 2016-04-09 16:02:08

1.2k

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Why Newton's method to find a root of a function requires the function to be smooth?

Published on 09 Apr 2016 - 16:02

score 1k · Answer 8 · 2016-04-09 18:32:45

1k

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Computing square roots with arithmetic-harmonic mean

Published on 09 Apr 2016 - 18:32

score 10.6k · Answer 9 · 2026-03-22 00:19:12

10.6k

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In practice, what does it mean for the Newton's method to converge quadratically (when it converges)?

Published on 22 Mar 2026 - 0:19

score 98 · Answer 10 · 2016-04-16 19:51:57

98

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Newton Method Simplification

Published on 16 Apr 2016 - 19:51

score 35 · Answer 11 · 2016-04-26 08:39:08

35

Views

How do i show an iteration using Newtons method in $\mathbb{R}^m$?

Published on 26 Apr 2016 - 8:39

score 400 · Answer 12 · 2026-03-09 05:50:06

400

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Solving equations like $xe^x = c$ via functional iteration

Published on 09 Mar 2026 - 5:50

score 85 · Answer 13 · 2026-03-25 22:25:02

85

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Nonlinear equations algorithm - Newton method

Published on 25 Mar 2026 - 22:25

score 93 · Answer 14 · 2016-04-28 18:03:53

Find analytically the sequence of iterations $x_n$ for Newton's method applied to the function $f(x) = x^2$ with the starting point $x_0 = 1$.

score 60 · Answer 15 · 2026-03-25 19:51:35

60

Views

Show Newton's iteration to compute the root $x^*$ of $|x|^{\frac{3}{7}}$ does not converge

Published on 25 Mar 2026 - 19:51

List Question

Is there a way to study "how good" is the Newton's Raphson method applied to a function?

When to use Newtons's, bisection, fixed-point iteration and the secant methods?

Convergence of the quadratic map $\left(x-\left(x-\left(x- \dots \right)^2 \right)^2 \right)^2$?

Why does newton's method of successive approximation to compute square roots work?

Newton's method for square roots 'jumps' through the continued fraction convergents

Why the tangent line is $y = f'(x_n) (x - x_n) + f(x_n)$ at $x = x_n$?

Why Newton's method to find a root of a function requires the function to be smooth?

Computing square roots with arithmetic-harmonic mean

In practice, what does it mean for the Newton's method to converge quadratically (when it converges)?

Newton Method Simplification

How do i show an iteration using Newtons method in $\mathbb{R}^m$?

Solving equations like $xe^x = c$ via functional iteration

Nonlinear equations algorithm - Newton method

Find analytically the sequence of iterations $x_n$ for Newton's method applied to the function $f(x) = x^2$ with the starting point $x_0 = 1$.

Show Newton's iteration to compute the root $x^*$ of $|x|^{\frac{3}{7}}$ does not converge

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