Pi (AGM method) Calculator

  1. Home
  2.  / Mathematics
  3.  / Computing Pi

Calculates circular constant Pi using the Arithmetic-geometric mean method (AGM).

method
The calculation ends when two consecutive results are the same.
The accuracy of π improves by increasing the number of digits for calculation.

In 1976, Salamin and Brent discovered the new algorithm for calculating Pi based on the Gauss’s AGM formula (1809). The algorithm is quadratically convergent and each step of the algorithm doubles the number of correct digits.

    Pi (AGM method)
    [1-2] /2Disp-Num
    BACK NEXT
    [1]  2017/09/12 22:17   50 years old level / An engineer / Very /
    Purpose of use
    I was curious about is there some algorithm, beyond those I have already knew, for example the 9th order one, but it was not explained, unfortunately ...
    Comment/Request
    Nicely explained, the 9th order algorithm just mentioned ....
    from Keisan
    About the 9th order algorithm,
    please refer to the "Related links".
    [2]  2015/04/22 23:28   60 years old level or over / An engineer / A little /
    Purpose of use
    cross check some FORTRAN and c programs
    attempt to improve a partial differential equation solution

    BACK NEXT

    Thank you for your questionnaire.

    Sending completion



    Back

    To improve this 'Pi (AGM method) Calculator', please fill in questionnaire.
    Age


    Occupation


    Useful?

    Purpose of use?
    Comment/Request (Click here to report a bug).Bug report (Click here to report questionnaire.）
    Calculation bug(Please enter information such as specific input values, calculation result, correct result, and reference materials (URL and documents).)
    Text bug(Please enter information such as wrong and correct texts)
    Your feedback and comments may be posted as customer voice.
    送信