Introduction to Overdetermined Systems

Abstract

After much preliminary discussion we finally begin in this chapter with the subject of overdetermined systems. In this chapter, and the next two, we assume linear overdetermined systems, a restriction that will be relaxed in Chapter 7. Our system is where

$$ A\cdot X = d, $$

(4.1)

Where A matrix, called the data matrix or matrix of equations of condition, of size m x n, with m ≥ n, X is an n vector of the desired solution, and d is an m vector of observations or experimental data points.