CHAPTER 20
PROBLEMS WITH EQUALITY CONSTRAINTS
20.1 Introduction
In this part we discuss methods for solving a class of nonlinear constrained optimization problems that can be formulated as
where x 
n, f : n → , hi : n → , gj : n → , and m ≥ n. In vector notation, the problem above can be represented in the following standard form:
where h : n → m and g : n → p. As usual, we adopt the following terminology. ...
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