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amorfide

  • 3 years ago

can someone explain as simply as possible the newton raphson method

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  1. estudier
    • 3 years ago
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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.

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

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

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

  5. amorfide
    • 3 years ago
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    |dw:1350326896625:dw|

  6. amorfide
    • 3 years ago
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    what value would i out in?

  7. amorfide
    • 3 years ago
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    put*

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

  9. amorfide
    • 3 years ago
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    ohhhh okay! thank you

  10. estudier
    • 3 years ago
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    yw

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

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

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