The convergence problem of the family of Euler-Halley methods is considered under the Lipschitz condition with the L-average, and a united convergence theory with its applications is presented.
基金This project is supported by the Special Funds for Major State Basic Research Projects(Grant No. G19990328) the National Natural Science Foundation of China(Grant No. 10271025) also supported partly by Zhejiang Provincial Natural Science Foundation o
文摘The convergence problem of the family of Euler-Halley methods is considered under the Lipschitz condition with the L-average, and a united convergence theory with its applications is presented.
