Solution of the unconstrained minimization case studies
In this chapter, we apply algorithms from Chapter 10 to the two case studies from Chapter 9. We consider the multi-variate linear regression case study in Section 11.1 and the power system state estimation case study in Section 11.2. Both of our case studies will be transformed into least-squares problems. Unconstrained optimization algorithms that exploit the special characteristics of least-squares problems are described in [45, section 4.7][84, chapter 13]; however, we will first apply our basic unconstrained optimization algorithm to these problems because in later chapters we will need to solve more general unconstrained problems.
In practice, a special purpose algorithm for least-squares ...