Point estimates and convergence domain on the modified Newton iteration;

For the simplified Newton iteration method for solving smdimenitional systems of nonlinear equations produced by the general implicit linear methods numerically treatting m dimenitional stiff systems of ordinary differential equations,a new parallel implementation scheme is presented.

First,a processing of uniform clustering is performed for the point-cloud model,and then iterative simplification is used to further simplify the initially simplified model.

In this paper,some new theorems of convergence of the Newton iteration and Newton descent method in larger convergence domain are introduced,and the expressions of error estimate about these two iterations are presented.

With reconstructions and extensions towards classical principalagent theory, this paper brings forward obendeavor theorem, validates moral hazard with hidden action, and discovers coordinating effect of the level of endeavor towards endeavor effect index through calculating longterm endeavor of the entrepreneur by the method of Newton iteration and graphics.

Newton iteration method for solving the system of no nlinear equations is improved, restriction on its iteration function is relaxed, the convergence of the improved iteration algorithm is proved strictly, and the theoretical basis for designing cheaper and faster iteration methods is supplie d.

This paper describs a corrector Newton iteration method for solving equation with one unknown.

Instead of the linearization of expression of thermal radiation on free surface,start at Galerkin finite element method,convert the calculation problem of the temperature field into a calculation of nonlinear equations,and then calculate the temperature by Newton iteration method.