This chapter first intruduces the idea of process modeling, both as equation oriented and as sequential modular calculations. It then poses the analysis of process flowsheets as a system of nonlinear equations. Newton's method is first introduced for solving the systems of nonlinear equations, highlighting some of its major theoretical properties. Next, the concept of quasi-Newton methods is introduced to approximate the Jacobian matrix in Newton's method. The specific quasi-Newton method presented is Broyden's method for which its derivation is presented.
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