When dealing with complex mathematical problems, an iterative solver can be invaluable. Iterative solvers are algorithms designed to find solutions to functions through repeated approximations. Here, we will explore a simple implementation in Python that can handle both single and multiple variable functions, all within 20 lines of code.
First, let’s consider a single-variable function. We’ll use Newton’s method, a popular iterative technique, for this purpose.
Next, let’s extend this approach to handle functions with multiple variables using the Newton-Raphson method for systems of equations.