# GATE2004-IT-39

465 views

Consider the following iterative root finding methods and convergence properties:

Iterative root finding methods   Convergence properties
Q. False Position I. Order of convergence = 1.62
R. Newton Raphson II. Order of convergence = 2
S. Secant III. Order of convergence = 1 with guarantee of convergence
T. Successive Approximation IV. Order of convergence = 1 with no guarantee of convergence

The correct matching of the methods and properties is

1. Q-II, R-IV, S-III, T-I
2. Q-III, R-II, S-I, T-IV
3. Q-II, R-I, S-IV, T-III
4. Q-I, R-IV, S-II, T-III

1 vote
Ans B
1 vote

## Related questions

1
547 views
If f(l) = 2, f(2) = 4 and f(4) = 16, what is the value of f(3) using Lagrange's interpolation formula? 8 8(1/3) 8(2/3) 9
1 vote
If the trapezoidal method is used to evaluate the integral obtained $\int_{0}^{1} x^2dx$, then the value obtained is always > (1/3) is always < (1/3) is always = (1/3) may be greater or lesser than (1/3)
The following definite integral evaluates to $\int_{-\infty}^{0} e^ {-\left(\frac{x^2}{20} \right )}dx$ $\frac{1}{2}$ $\pi \sqrt{10}$ $\sqrt{10}$ $\pi$