Fixed Point Iteration Q&A

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Chapters
0:00 Intro
0:14 Why not x = x^2 -1?
1:08 Where did 1.618 come from?
1:29 How do you pick a starting point?
2:04 How do you find the other root?
3:24 Use the Convergence Test without the root? Which root do you use in the test?
4:22 On the Matter of Convergence
5:04 Thank You

Suggested Videos

#FixedPointIteration #NumericalAnalysis
  1. Oscar Veliz
  2. fixed point iteration method
  3. fixed point iteration
  4. Q&A
  5. frequently asked question
  6. convergence test
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Комментарии
Автор

Thanks Oscar for the video! Would you be able to explain (or link to resources that explain) why |g'(x)|<1 predicts convergence?

akathebest
Автор

Wish I found your channel earlier man.

defbat
Автор

Your last video about finding roots come form 7 years ago it is a very very very late answer
what was going on for this 7 years? cast away?

ccuuttww
Автор

I think you still did not answer the first part of the last question, what is the point of this method if the root is already known, as we need it to test convergence ?

JhonPlusse
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Hey, Is all this convergence or divergence totally depend upon intial guess ?

onlinemathtutor
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Is it fair to say that if youre initial guess x0 is inside of the region where |g'(x)|<1 that it will converge to an x* in that range, if one exists?

leesweets
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''Find the approximate value of 3^(3/4) with the fixed point ''... How can I find the g(x) if I can't use my calculator? to put the real vAlue

daliaruizdiaz
Автор

your voice and speaking rhythm like 3 blue 1 brown

ccuuttww