GATE Questions & Answers of Solution of Non-Linear Equations

What is the Weightage of Solution of Non-Linear Equations in GATE Exam?

Total 5 Questions have been asked from Solution of Non-Linear Equations topic of Numerical Methods subject in previous GATE papers. Average marks 1.60.

A polynomial f ( x ) = a 4 x 4 + a 3 x 3 + a 2 x 2 + a 1 x a 0 with all coefficients positive has

A numerical solution of the equation  fx=x+x-3=0 can be obtained using Newton- Raphson method. If the starting value is x = 2 for the iteration, the value of x that is to be used in the next step is

The recursion relation to solve x=e-x using Newton Raphson method is

For the function e-x, the linear approximation around x = 2 is:

The equation x3 - x2 + 4x - 4 = 0 is to be solved using the Newton-Raphson method. If x = 2 is taken as the initial approximation of the solution, then the next approximation using this method will be