Numerical Methods 1

Numerical methods ..

• is to find the exact solutions of mathematical problems.

• is a study of algorithms that use numerical approximations in solving problems.

• should be accurate and precise enough for particular problems.

A theorem that guaranteed that there is at least a root in the interval is

• Rolle's Theorem

• Extreme Value Theorem

• Intermediate Value Theorem

Truncation error is better than round-off error. True or false?

• True

• False

Secant and False Position method is to solve

• nonlinear equations

• system of linear equations

• quadratic equations

• eigen value problems

Solving nonlinear equations means ..

• finding the root of the functions.

• finding the zero of the functions.

• finding the x value which f(x)=0.

Methods of solving linear equations system consist of ..

• Iterative solvers

• Linear solvers

• Direct solvers

• Matrices Systems solvers

For any given system of linear equations, what are the possible solutions?

• No solution

• Unique solution

• Dual solutions

• Infinite many solutions

How many method did we had learnt in LU decomposition method?

• 4

• 5

• 6

Successive over Relaxation method is basically the improved version of ..

• Jacobi method

• Gauss-Seidel method

• Gauss elimination method

• Thomas method

What condition number of matrices is for?

• To see whether or not we can trust linear system

• To observe whether the system giving accurate solutions

• To determine whether a small input changes will cause a large output changes

• To determine whether a small input changes will only cause a small output changes