nmeth (Program)
Command last updated 7/2/2023.
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nmeth(f, xa, n)
- f is an expression in terms of x (execution of Program may fail if there are other unknown variables in the expression)
- xa is the initial guess for the x-value of a root of f
- n is the number of iterations
Applies Newton’s method for n iterations. Prints the details of each iteration and returns the coordinates following the n-th iteration.
Example
Find the number of iterations of Newton’s method, with an initial guess of \(x_0 = 1\), after which the \(x\)-value of the non-zero root of \(f(x) = \dfrac{x^3}{5} - \sqrt{x}\) is first approximated correct to 3 decimal places. (Sample Methods Exam 2 Section A Question 2)
