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introduction we aimed to introduce a 6-universal-prismatic-spherical (ups) parallel mechanism for the human jaw motion and theoretically evaluate its kinematic problem. we proposed a strategy to provide a fast and accurate solution to the kinematic problem. the proposed strategy could accelerate the process of solution-finding for the direct kinematic problem by reducing the number of required ...

Abstract It is well known that the Newton method may not converge when initial guess does belong to a specific quadratic convergence region. We propose family of new variants with potential advantage having larger region as more desirable properties near solution. prove family, and provide bounds for asymptotic error constant. illustrate advantages methods by means test problems, including two ...

We will present the Newton-Raphson algorithm, and the secant method. A MATLAB function for the Newton-Raphson method. The function.MATLAB has many tools that make this package well suited for numerical computations. The Newton-Raphson method for systems of nonlinear equations.The Newton-Raphson method, or Newton Method, is a powerful technique. Interesting is Section 3, where the birth of the N...

We investigate the efficiency of multi-step Newton method (the classical Newton method in which the first derivative is re-evaluated periodically after m steps) for solving nonlinear equations, F(x) = 0, F : D ⊆ Rn → Rn. We highlight the following property of multi-step Newton method with respect to some other Newton-type method: for a given n, there exist thresholds of m, that is an interval (...