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amorfide

can someone explain as simply as possible the newton raphson method

  • one year ago
  • one year ago

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  1. estudier
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    Guess x0 (needs to be reasonably close for convergence) Then first iteration x1 = x0 - f(x0)/f'(x0) and repeat to desired accuracy.

    • one year ago
  2. amorfide
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    how would i know what value of x0 to put in?

    • one year ago
  3. amorfide
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    would it be the value closes to the point of the cut on the x axis

    • one year ago
  4. estudier
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    Usually the function provides you with enough info to make a guess at the root

    • one year ago
  5. amorfide
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    |dw:1350326896625:dw|

    • one year ago
  6. amorfide
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    what value would i out in?

    • one year ago
  7. amorfide
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    put*

    • one year ago
  8. estudier
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    eg Cos x -x has a root between 0 and 1 so u coulde choose 1/2 to start.

    • one year ago
  9. amorfide
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    ohhhh okay! thank you

    • one year ago
  10. estudier
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    yw

    • one year ago
  11. amorfide
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    okay so x2 so when i figure out x2 would i sub in the value of x1?

    • one year ago
  12. estudier
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    Yes, just iterate, successive iterates will come closer and closer to the root (if it converges)

    • one year ago
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