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AUTHOR(S): Emerson Miller, Douglas Salane
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TITLE A Quadratically Convergent Method for Computing Euler’s Number |
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ABSTRACT We describe the use of Newton’s method to compute a high precision approximation to e. This work provides a brief introduction to the the history of computing elementary transcendental functions and numbers, presents a novel method for computing e, examines the quadratic convergence of Newton’s method in this application, and makes use of multi-precision arithmetic available in Python to compute e to any desired precision. |
KEYWORDS computing Euler’s number, Newton’s method, quadratic convergence |
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Cite this paper Emerson Miller, Douglas Salane. (2024) A Quadratically Convergent Method for Computing Euler’s Number. International Journal of Mathematical and Computational Methods, 9, 105-108 |
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