GATE PYQ

Numerical Method

Q31.
x+y/2=9 3x+y=10 The value of the Frobenius norm for the above system of equations is

Q32.
Using the forward Euler method to solve y''(t) = f(t), y'(0)=0 with a step size of h, we obtain the following values of y in the first four iterations:

Q33.
The Newton-Raphson method is used to find the root of the equation X^2-2=0. If the iterations are started from -1, the iterations will

Q34.
Newton-Raphson iteration formula for finding \sqrt[3]{c}, where c > 0 is

Q35.
Which of the following statements is true in respect of the convergence of the Newton-Rephson procedure?

Q36.
Simpson's rule for integration gives exact result when f(x) is a polynomial of degree

Q37.
The simplex method is so named because

Q38.
The iteration formula to find the square root of a positive real number b using the Newton Raphson method is