![]() This entry was posted in Math and tagged Cubic root, Math, Newton's method, Root on Apby Calcpad. We also calculated the root by three different methods which give the same result. It is interesting that just after 4 iterations, the Newton’s method finds 16 correct significant digits which is the limit precision for most computers. We can also use Calcpad to create a tiny program for that: We will use the same approach, as follows: Now, lets use it to calculate √a = ?, for a = 5. If we substitute the above equations into the Newton’s iterative formula, we get: ![]() In the above formulas, f( x) is the function and f′( x) is the first derivative.
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