fixed-point iteration

Fixed-point iteration is a mathematical method used to find solutions to equations. It works by rearranging an equation so that one side equals a function of the other. Starting with an initial guess, you repeatedly apply this function to generate new values. Each value should get closer to the actual solution, called a "fixed point." For example, if you have a function that describes a line, iterating can help you find where the line intersects the axis. This method is useful in various fields, including engineering, computer science, and economics, to solve equations that may not have straightforward solutions.