摘要本文在点估计判据下,证明了带不可微项方程简化Newton法的收敛性,推广了文[1]的工作,改善了文[2]的结果。In this paper,the convergence of chord method for the equations with nondifferential term is proved under the conditions which depend only on the point estimate data.
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2Smale S.Algorithms for Solving Equations[A].In:International Congress of Mathematicians[C].California,U S A:Berkeley,1986:1-44.
3Zabrejok P P and Nguen D F.The Majorant Method in the Theory of Newton-Kantorovich Approximations and the Peak Error Estimates[J].Numer Funct Anal Optim,1987(9):671-684.