The convergence of which of the following method is sensitive to starting value?
A.
False position
B.
Gauss seidal method
C.
Newton-Raphson method
D.
All of these
Answers
Answer:option c
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NEWTON- RAPHSON METHOD
The convergence of (C) Newton- Raphson method is sensitive to starting value.
GETTING TO KNOW MORE ABOUT NEWTON- RAPHSON METHOD:
* In numerical analysis, Newton's technique, commonly known as the Newton–Raphson method, named after Isaac Newton and Joseph Raphson, is a root-finding procedure which gives increasingly improved approximations to the roots (or zeroes) of a real-valued function.
* The simplest form begins with a single-variable function f defined for a real variable x, its derivative f′, and an initial guess x0 for a root of f.
* The derivative must be determined directly using Newton's approach. It's possible that an analytical formulation for the derivative isn't readily available or that evaluating it would be too costly.
* In these cases, the slope of a line passing between two close points on the function may be used to approximate the derivative.