弱条件下Chebyshev迭代的收敛性

Convergence theorem for the Chebyshev iteration under weak condition

利用优函数研究了Banach空间中解非线性算子方程的Chebyshev迭代的收敛性,建立了它的一个宽泛的收敛性定理.

By using majofizing function, a widely convergence theorem for the Chebyshev iteration in Banach space was established which would be useful for solving the nonlinear operator equation.