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Applied Optimization by Ross Baldick

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11

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 ...

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