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 ...

Abstract: In this paper, a revision of the Newton iteration format for nonlinear equation is proposed on the basis of the existing Newton iterative format. The convergence behavior of the algorithm is ...

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 ...

Abstract: The paper is devoted to present a new original design method of nonaffine nonlinear control systems of general structure. The originality of the method lies in the application to a nonlinear ...

SIAM Journal on Applied Mathematics, Vol. 53, No. 2 (Apr., 1993), pp. 419-439 (21 pages) Steady-state systems of coupled nonlinear transport equations are considered with boundary conditions ...