In general, when a quasi-Newton method is applied to solve a system of nonlinear equations, the quasi-Newton direction is not necessarily a descent direction for the norm function. In this paper, we ...

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 ...

We discuss two Newton-like methods for solving the systems which arise from nonlinear partial differential equations and nonlinear networks. Under appropriate conditions both methods provide global ...

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 ...

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...