Project ForgeEngineering Mathematics
Numerical Methods
GATE 2020
Easy
Which one of the following methods requires specifying an initial interval containing the root (i.e., bracketing) to obtain the solution of f(x)=0, where f(x) is a continuous non-linear algebraic function?
- ANewton-Raphson method
- regula falsi method
- Csecant method
- Dfixed point iteration method
Explanation
Regula falsi (false position) is a bracketing method: it requires an initial interval [a,b] with f(a) and f(b) of opposite sign. Newton-Raphson, secant, and fixed-point iteration are all open methods using a single starting point (or two non-bracketing points) with no such requirement.
Source: GATE CH 2020 (2020)
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