Kaczmarz algorithm

The Kaczmarz algorithm is a method used to solve systems of equations, particularly when there are many equations. It works iteratively by starting with an initial guess of the solution, then refining it one equation at a time. For each equation, it adjusts the current guess to better satisfy that specific equation. Repeating this process across all equations repeatedly, the guess gradually converges to the true solution. It's especially useful for large or complex problems because it breaks them into manageable steps, making the process efficient without needing to solve everything all at once.