This paper presents a practical and efficient method to solve large-scale nonlinear equations. The global convergence of this new trust region algorithm is verified. The algorithm is then used to solve the nonlinear equations arising in an Expanded Lagrangian Function (ELF). Numerical results for the implementation of some large-scale problems indicate that the algorithm is efficient for these ...

nonlinear knapsack problems (nkp) are the alternative formulation for the multiple-choice knapsack problems. a powerful approach for solving nkp is dynamic programming which may obtain the global op-timal solution even in the case of discrete solution space for these problems. despite the power of this solu-tion approach, it computationally performs very slowly when the solution space of the pr...

We study the existence and uniqueness of mild strong solutions nonlocal nonlinear diffusion problems $p$-Laplacian type with boundary conditions posed in metric random walk spaces. These spaces include, among others, weighted discrete graphs $\mathbb{R}^N$ a induced by nonsingular kernel. also case dynamical conditions. The generality nonlinearities considered allow us to cover counterparts lar...

keywords: rtlinux, comedi, sliding mode control, MRAC control

with Aa having at most polynomial growth, by applying a general theorem concerning nonlinear functional equations in reflexive Banach spaces. Our result in [ l] extended and generalized results announced earlier by M. I. Visik [6; 7; 8] and obtained by more concrete analytic arguments. Visik's detailed account of his results which has just appeared in [9] has one feature which goes beyond the f...

Self similar solutions u(x,t) = f(x//t) of the one-dimensional porousmedium equation are studied in this paper. These solutions emerge frominitial values that consist of two constant states: one non-positive forx < 0 and one non-negative for x > 0. With a diffusivity of the form|u| , we consider for m > 0 sign change solutions and for m e (-1,0]non-negative solutions. Th...