Gauss–Legendre algorithm: Difference between revisions

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approximations were _not_ up to and including first incorrect digit; now they are
Algorithm: oops, off by one in previous edit
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:<math>3.1415926535897932382\dots</math>
:<math>3.14159265358979323846264338327950288419711\dots</math>
:<math>3.141592653589793238462643383279502884197169399375105820974944592307816406286208998625\dots</math>
:<math>3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986256\dots</math>
The algorithm has [[quadratic convergence]], which essentially means that the number of correct digits doubles with each [[iteration]] of the algorithm.