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The Steffenson iteration method is a numerical method that is used to obtain the roots of a function. It is a type of fixed-point iteration method that converges faster compared to other similar methods, like the Newton-Raphson method. In MATLAB, you can implement the Steffenson iteration method by writing a code that uses a loop to iterate over the function until it reaches the desired level of accuracy. The code should take into account the initial guess, the maximum number of iterations, and the tolerance level. There are also some mathematical nuances that need to be considered when implementing this method, such as the possibility of division by zero or the occurrence of an infinite loop. Therefore, it is important to thoroughly test and debug the code before using it for any real-world applications.