SOLVED:A variant of Newton-Raphson for roots of higher multiplicity. Each polynomial in Exercises 33-36 has one root c of multiplicity m=2. Approximate each such root using the initial estimate x1=c 1 / 2 and the formula xj 1=xj-m (p(xj))/(p^'(xj)) . In each case, terminate the process at the smallest value of M for which |xM-c|<5 ×10^-4. What is M ? Compare the number M with the corresponding number N that results when the unmodified Newton-Raphson Method is used.
SOLVED:A variant of Newton-Raphson for roots of higher multip…
Sep 29, 2021
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