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The Newton-Raphson method is said to have
- a)Linear convergence
- b)Super linear convergence
- c)Quadratic convergence
- d)Oscillatory convergence
Correct answer is option 'C'. Can you explain this answer?
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The Newton-Raphson method is said to havea)Linear convergenceb)Super l...
Concept:
Newton- Raphson method:
Newton- Raphson method:
- The Newton - Raphson method is the type of open method (Extrapolation method).
- It is a powerful technique for solving algebraic and transcendental equations f( x ) = 0, numerically.
- It is an iteration method for solving a set of various nonlinear equations with an equal number of unknowns.
Advantages:
- It possesses quadratic convergence characteristics. Therefore, the convergence is very fast.
- The number of iterations is independent of the size of the system.
- The Newton-Raphson Method convergence is not sensitive to the choice of slack bus.
- Overall, there is a saving in computation time since a fewer number of iterations are required.
Disadvantages:
- It does not converge to a root when the second differential coefficient changes sign
- It is sensitive to the starting value. Convergence fails if the starting point is not near the root.
- It is not preferred when the graph of f(x) is nearly horizontal where it crosses the x-axis as the values of f’(x) have negative values in this case.
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The Newton-Raphson method is said to havea)Linear convergenceb)Super linear convergencec)Quadratic convergenced)Oscillatory convergenceCorrect answer is option 'C'. Can you explain this answer?
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The Newton-Raphson method is said to havea)Linear convergenceb)Super linear convergencec)Quadratic convergenced)Oscillatory convergenceCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The Newton-Raphson method is said to havea)Linear convergenceb)Super linear convergencec)Quadratic convergenced)Oscillatory convergenceCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Newton-Raphson method is said to havea)Linear convergenceb)Super linear convergencec)Quadratic convergenced)Oscillatory convergenceCorrect answer is option 'C'. Can you explain this answer?.
The Newton-Raphson method is said to havea)Linear convergenceb)Super linear convergencec)Quadratic convergenced)Oscillatory convergenceCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The Newton-Raphson method is said to havea)Linear convergenceb)Super linear convergencec)Quadratic convergenced)Oscillatory convergenceCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Newton-Raphson method is said to havea)Linear convergenceb)Super linear convergencec)Quadratic convergenced)Oscillatory convergenceCorrect answer is option 'C'. Can you explain this answer?.
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