Non-deterministic algorithms are computational methods that can produce different outcomes from the same initial conditions. Unlike deterministic algorithms, which always yield the same result for a given input, non-deterministic algorithms may explore multiple possibilities simultaneously. This characteristic makes them useful for solving complex problems where multiple solutions exist. These algorithms are often used in fields like computer science and mathematics, particularly in optimization and search problems. An example of a non-deterministic algorithm is the non-deterministic Turing machine, which can make choices at various points in its computation, allowing it to explore many paths to find a solution.