Levinson's Algorithm is a mathematical method used to solve linear equations, particularly in the context of autocorrelation and signal processing. It efficiently computes the coefficients of an autoregressive model by recursively solving a set of equations, which helps in estimating parameters from time series data. The algorithm is particularly useful for applications in speech processing and control systems, where it can quickly provide solutions with lower computational costs compared to traditional methods. By leveraging the properties of Toeplitz matrices, Levinson's Algorithm reduces the complexity of the problem, making it a valuable tool in various engineering fields.