切比雪夫迭代应用于多项式求根及其收敛性

Tchebycheff's Iteration Applying for Solving Polynomial Equation and Its Convergence

首先指出切比雪夫迭代应用于多项式求根与一解多项式方程的并行迭代的等价性 ,并利用优函数来证明迭代的收敛性 ,给出

In this paper,we proved the following results:1) The consistance of applying Tchebycheff′s iteration to solve nonlinear equation systems with the parallel iteration to solve the polynomial equation.2) The convergence of applying iteration by taking the advantage of majoring function.we also provide the rough range of-value.