MA-3146 Numerical Computing Practice Questions

 

Q1. 

        a. Find the root of 1 + x² = x ³ using Fixed-Point Iteration method up to the tolerance of 10^-4.

        b. What is the difference between Regular-Falsi and Secant Method?

Q2. 

        a. Solve xe^x = cosx using Newton Raphson Method with an accuracy of 0.00001.

        b. Find optimal w for the following system. 

4x + y = 3

x+3y-z = 4

-y + 4z = 5

Q3. 

        a. Find solution of the following system. 

x+y+z = 7

x+2y+2z = 30

x+2y+3z = 63

         using Choleskey method.