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 ...

Os estudos filosóficos, químicos, astronômicos e anatômicos foram apresentados durante a história por grandes personalidades pensadores. Uma das à sua época, Sir Isaac Newton, autor da obra Óptica desmitificou óptica geométrica física aplicadas na atualidade. Através deste estudo, realizado em publicados artigos indexados plataforma Google Acadêmico, com referência contribuição de Newton ciênci...

In this research, as the main contribution, a comprehensive study is carried out on the mathematical modeling and analysis of the inverse kinematics and dynamics of an over-constraint three translational degree-of-freedom parallel manipulator. Due to the inconsistency between the number of equations and unknowns, the problem of obtaining the constraint forces and torques of an over-constraint m...

In applications as in future MIMO communication systems a massive computation of complex matrix operations, such as QR decomposition, is performed. In these matrix operations, the functions roots, inverse and inverse roots are computed in large quantities. Therefore, to obtain high enough performance in such applications, efficient algorithms are highly important. Since these algorithms need to...