Numerical Methods Quiz

The Bisection Method is also known as the:

• Newton-Raphson Method

• Regula Falsi Method

• Half-interval Method

• Gauss-Seidel Method

The Method of False Position is also known as:

• Regula Falsi Method

• Newton’s Method

• Bisection Method

• Secant Method

The Bisection Method works by repeatedly:

• Doubling the interval size

• Halving the interval

• Using derivatives

• Iterating logarithmically

The Secant Method is an improvement over:

• Bisection Method

• Newton-Raphson Method

• Iterative Method

• Simpson’s Rule

The Newton-Raphson Method requires:

• First derivative of the function

• Second derivative of the function

• No derivatives

• The integral of the function

The Method of Successive Approximation is also known as:

• Iterative Method

• Gauss-Seidel Method

• Euler’s Method

• Midpoint Method

The Regula Falsi Method differs from the Bisection Method in that:

• It does not require interval halving

• It uses linear interpolation

• It does not require function evaluation

• It uses quadratic approximation

The convergence rate of the Bisection Method is:

• Linear

• Quadratic

• Cubic

• Exponential

The Newton-Raphson Method fails if:

• The derivative is zero at some point

• The function is continuous

• The function is differentiable

• The function has only one root

The Secant Method approximates the derivative using:

• A forward difference

• A backward difference

• A central difference

• A secant line