01238nas a2200145   4500008004100000245009700041210006900138300001400207520064600221653002400867653002800891100001800919700001900937856013600956       2007                        eng d00aHigher order method for non linear equations resolution: application to mobile robot control0 aHigher order method for non linear equations resolution applicat  a3628-36343 a<p>In this paper a novel higher order method for the resolution of non linear equations is proposed. The particular application to the mobile robot navigation in an environment with obstacles is considered. The proposed method is based on the {\em embedded-relaxed} approach in which the dimension of the resolution space is augmented and a different and faster direction toward the root is computed. The method is proved to converge with higher order for the augmented resolution space of dimension 2 and 3. Finally, the method is applied to the problem of mobile robot navigation between obstacles considered as repulsive potentials.</p>
10aAutonomous Vehicles10aNavigation and Planning1 aBalestrino, A1 aPallottino, L.  uhttp://www.centropiaggio.unipi.it/publications/higher-order-method-non-linear-equations-resolution-application-mobile-robot-control