We consider nonlinear problems of the form f(x, λ, α) = 0, where $x \in \mathBbb{R}$ is a state variable, $\lambda \in \mathBbb{R}$ is a bifurcation parameter ...

You can use a SOLVE statement to solve the nonlinear equation system for some variables when the values of other variables are given. Consider the demand and supply model shown in the preceding ...

In 1965 Broyden introduced a family of algorithms called (rank-one) quasi-Newton methods for iteratively solving systems of nonlinear equations. We show that when any member of this family is applied ...

If the SINGLE option is not used, PROC MODEL computes values that simultaneously satisfy the model equations for the variables named in the SOLVE statement. PROC MODEL provides three iterative methods ...