chapter  4
38 Pages

Ax = d: Least Squares Solution

This chapter contains methods for "solving" matrix equations of the form Dx = d where D is a matrix with more rows (equations) than columns (variables). The normal equations will be developed and used to solve these over determined algebraic systems. Applications include data fitting such as sales predictions, radioactive decay, world population models, flow rate data and parameter identification. By-hand calculations will be done as well as implementations in MATLAB for larger and nonlinear problems.