Article ID Journal Published Year Pages File Type
9507013 Applied Mathematics and Computation 2005 5 Pages PDF
Abstract
A modified formula, iteration representation, of ancient Chinese algorithm by combining the homotopy continuation technique is presented. Considering the convergence, the new iteration formula and the technique for the choice of the auxiliary homotopy function are developed. Once we have the condition f(x1) = f(x2) or f(x) is an even function, we will diverge in traditional ancient Chinese algorithm. The paper provides some useful rules to overcome this defect.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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