On computational efficiency for multi-precision zero-finding methods
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摘要
An adapted definition related to multi-precision arithmetic zero-finding methods is considered and several improvements to iterative methods to compute nonlinear equation solutions, which increase the local order of convergence are revisited. Furthermore, a higher efficiency when we use a definition related to adaptive multi-precision arithmetic is also given. Numerical results computed with a floating point system representing 200 and 1000 decimal digits support this theory.
论文关键词：Nonlinear equations,Iterative methods,Order of convergence,Computational efficiency,Multi-precision arithmetic
论文评审过程：Available online 20 March 2006.
论文官网地址：https://doi.org/10.1016/j.amc.2005.12.060
