Easy

All of the following numerical methods are applicable to find the solution of nonlinear equations, except:

• Newton-Raphson method

• False position method

• Gauss-Seidel method

• Fixed-point iteration method

Find the first estimate of the numerical solution using the bisection method having endpoints [1.2, 1.5].

• 1.30

• 1.35

• 1.40

• 1.45

Using the secant method, the first step is assuming endpoints bracketing the exact solution.

• True

• False

In newton's method, the iterations are stopped when the estimated relative error is smaller than a specified value ε.

• True

• False

A nonlinear equation can have no solution.

• True

• False

All of the following numerical methods are open methods, except:

• False position method

• Fixed-point iteration method

• Newton method

• Secant method

In bracketing methods, an initial estimate (one point) for the solution is assumed.

• True

• False

The true error cannot be calculated in numerical methods since the exact solution is generally unknown.

• True

• False

• True

• False

Bisection method converges fast than Regula falsi method.

• True

• False