The divide and average method, an old-time method for approximating the square root of any positive number

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The “divide and average” method, an old-time method for approximating the square root of any positive number a, can be formulated as

Prove that this formula is based on the Newton-Raphson algorithm.

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Applied Numerical Methods With MATLAB For Engineers And Scientists

ISBN: 9781259027437

3rd Edition

Authors: Steven C. Chapra

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Question Posted: Mar 17, 2023 08:08 AM

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The divide and average method, an old-time method for approximating the square root of any positive number

Question:

Xi+1 = xi + a/xi 2

Step by Step Answer:

The divide and average method is a simple iterative method for approximating the square root of a po...View the full answer

Applied Numerical Methods With MATLAB For Engineers And Scientists

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