An implicit multi-step method

An explicit single-step method

An implicit single-step method

An explicit multi-step method

None

The process of drawing a tangent line at each successive approximation to the root

The process of repeatedly dividing the interval that contains the root into two halves

The process of using quadratic interpolation to approximate the root without any bracketing

The process of selecting two arbitrary points without making use of any enclosing interval

None

It never contains the function value at the next point

It requires no previously computed solution values

It is an explicit predictor method

None

It is a single-step method

An implicit multi-step method

An explicit single-step method

An explicit multi-step method

None

An analytical method

Linear and nonlinear methods

Explicit and exact methods

Analytical and numerical methods

Single-step methods and multi-step methods

None