Question

Newton’s method linearizes the function using ___________

(a) McLaurin series

(b) Laurent series

(c) Taylor series

(d) Fourier series

I had been asked this question during an interview for a job.

This interesting question is from Numerical Methods topic in section Numerical Methods of Computational Fluid Dynamics

Answer 1

The correct answer is (c) Taylor series

Explanation: Newton’s method uses the first two terms of Taylor’s series to linearize the non-linear system. This is further simplified to get the formula to be iterated and get the roots.