In this paper, we continues to study the convergent iteration method of order two given by the first author for finding zeros of the derivative. Under one global condition on the function, instead of two, the converge...In this paper, we continues to study the convergent iteration method of order two given by the first author for finding zeros of the derivative. Under one global condition on the function, instead of two, the convergence determinations are established by using quadratic and cubical majorizing functions respectively.展开更多
基金This work was supported by the National Natural Science Foundation (No.10261001) and the Guangxi Province Natural Science Foundation (No.0236001,0249003) of China.
文摘In this paper, we continues to study the convergent iteration method of order two given by the first author for finding zeros of the derivative. Under one global condition on the function, instead of two, the convergence determinations are established by using quadratic and cubical majorizing functions respectively.