An explicit cubic iteration for π
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Using the theory of the cubic modular equation we have discovered a remarkably simple class of cubically convergent algebraic iterations for π.
KeywordsComputational Mathematic Simple Class Modular Equation Algebraic Iteration
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- 1.J. M. Borwein and P. B. Borwein,Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity, John Wiley, to appear, 1986.Google Scholar
- 2.J. M. Borwein and P. B. Borwein,Cubic and higher order algorithms for π, Canad. Math. Bull 27 (1984), 436–443.Google Scholar
- 3.S. Ramanujan,Modular equations and approximations to π, Quart. J. Math. 45 (1914), 350–372.Google Scholar
- 4.E. Salamin,Computation of π using arithmetic-geometric mean, Math. Comput. 30 (1976), 565–570.Google Scholar
- 5.H. Weber,Lehrbuch der Algebra, vol. 3, reprinted Chelsea, 1980.Google Scholar
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