Wu Xinyuan. A Significant Improvement on Newton’s Iterative Method[J]. Applied Mathematics and Mechanics, 1999, 20(8): 863-866.
Citation: Wu Xinyuan. A Significant Improvement on Newton’s Iterative Method[J]. Applied Mathematics and Mechanics, 1999, 20(8): 863-866.

A Significant Improvement on Newton’s Iterative Method

  • Received Date: 1997-04-14
  • Rev Recd Date: 1999-01-05
  • Publish Date: 1999-08-15
  • For solving nonlinear and transcendental equation f(x)=0, a singnificant improvement on Newton s method is proposed in this paper. New Newton Like methods are founded on the basis of Liapunovs methods of dynamic system. These new methods preserve qudratic convergence and computation efficiency of Newtons method, but remove the monotoneity condition imposed on f(x):f(x)≠0.
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