Iteration Flashcards

A repetitive process used to find an approximate solution to an equation.

A formula used to generate successive approximations to the solution of an equation.

The initial value used in an iterative process to begin the sequence of approximations.

When the values generated by an iterative process get closer to a single value (the solution).

When the values generated by an iterative process move further away from a single value.

A method of solving equations by rearranging the equation into the form x = g(x) and iterating.

Rewriting an equation into the form x = g(x) to use in an iterative process.

The point at which an iterative process is stopped, often when successive values are sufficiently close.

The degree of accuracy to which the solution is found, often determined by the number of decimal places or significant figures.

Substituting the final value back into the original equation to verify its accuracy.