Implementation of Linear Least Squares Method with MATLAB Code Examples

This resource features carefully curated MATLAB implementations for various curve fitting methodologies. The collection demonstrates practical applications of linear least squares algorithms through matrix operations and the pseudoinverse function (pinv). For univariate polynomial fitting, implementations utilize MATLAB's polyfit function with customizable degree parameters. The multivariate quadratic fitting solutions employ surface fitting techniques using least squares optimization with multiple independent variables. Additionally, custom curve fitting functions showcase flexible implementation approaches for user-defined mathematical models, incorporating error minimization algorithms and statistical goodness-of-fit measures. All implementations include detailed documentation covering algorithm selection criteria, parameter optimization methods, and visualization techniques using MATLAB's plotting capabilities to validate fitting results.