A class of weighted interpolation iteration algorithm based on Cramer's rule
This article uses nth interpolating polynomial to fit an iterative algorithm that requires differentiation,and constructs a linear equation system containing n+1 unknown variables.The first n unknowns are represented by the(n+1)th unknowns using weighted interpolation and Cramer′s rule to avoid differentiation.Convergence analysis and nu-merical examples further validate that this iterative algorithm is superior to the Newton iteration,and has important signifi-cance in the fields of path trajectory optimization for motion robots and nonlinear fractional order sliding mode time-delay control.
NETL
NSTL
万方数据
维普
