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 |
Option: C Explanation : Click on Discuss to view users comments. |
Newton-Raphson method is used to find the root of the equation x2 - 2 = 0.
If iterations are started from - 1, then iterations will be
A. | converge to -1 |
B. | converge to √2 |
C. | converge to -√2 |
D. | no coverage |
Option: C Explanation : Click on Discuss to view users comments. |
Which of the following statements applies to the bisection method used for finding roots of functions?
A. | Converges within a few iterations |
B. | Guaranteed to work for all continuous functions |
C. | Is faster than the Newton-Raphson method |
D. | Requires that there be no error in determining the sign of the function |
Option: B Explanation : Click on Discuss to view users comments. CJ said: (2:14pm on Thursday 30th November 2017)
The bisection method will not work when attempting to find a root of even multiplicity
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We wish to solve x2 - 2 = 0 by Newton Raphson technique. If initial guess is x0 = 1.0, subsequent estimate of x (i.e. x1) will be
A. | 1.414 |
B. | 1.5 |
C. | 2.0 |
D. | None of these |
Option: B Explanation : Click on Discuss to view users comments. Nani said: (3:02am on Saturday 3rd March 2018)
X0-(f(x0)/f'x(0)) is 1-(xpower2-2/2x) now x=1 put above equation 1.5 get
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