Successive Approximations: A Step-by-Step Approach to Refining Solutions
Successive Approximations: A Step-by-Step Approach to Solutions Successive Approximations: A Step-by-Step Approach to Solutions Kaizen or Successive approximations, also known as iterative methods, are a powerful technique used to find solutions to equations or problems that might be difficult or impossible to solve directly. The core idea is to start with an initial guess and then refine that guess through a series of steps, gradually getting closer and closer to the actual solution and desired outcome. How it Works • Initial Guess: Begin with an educated guess for the solution. This initial guess can be based on intuition, prior knowledge, or even a random starting point. • Iteration: Apply a specific algorithm or formula to the initial guess to obtain a new, hopefully improved, approximation. • Repeat: Use the new approximation as the input for the next iteration. This process is repeated iteratively, with each step producing a closer approximation to the true solution. •...