GATE MA concept:newton-raphson-method PYQs & Answers

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concept:newton-raphson-method

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Questions 1–3 of 3. Imported answers require independent review unless marked reviewed.

Topic practice 3 questionsPage 1 of 1

Let

be a twice continuously differentiable function on

such that

and

for all

. Let

for some

. The Newton-Raphson method to compute

is given by

for an initial guess

for some

, then which of the following statements is/are correct?

Your answerSelect all correct options. You can choose more than one.

For every

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Let

for

. The order of convergence of the Newton-Raphson method

with

, for finding the root

of the equation

is _____.

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Let

(the set of all real numbers) be any function which is twice differentiable in

with only one root

. Let

and

denote the first and second order derivatives of

with respect to

. If

is a simple root and is computed by the Newton-Raphson method, then the method converges if

Your answerChoose one option.

, for all

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GATE MA concept:newton-raphson-method PYQs

How to practice concept:newton-raphson-method

Question 51

Question 21

Question 2