Gauss-Seidel method

The Gauss-Seidel method is a numerical technique used to solve systems of linear equations, which can arise in many fields like engineering and physics. It works by iteratively updating each variable using the most recent values found, gradually refining the solution. Imagine it like a group of friends collaboratively solving a puzzle, where each person contributes their best guess based on the latest pieces available. Over time, these guesses improve, leading to a more accurate solution. This method is particularly useful for large systems where traditional methods may be too slow or difficult to apply directly.