On Newton-type methods for multiple roots with cubic convergence
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摘要
We introduce two families of Newton-type methods for multiple roots with cubic convergence. A further Newton-type method for multiple roots with cubic convergence is presented that is related to quadrature. We also provide numerical tests that show that these new methods are competitive to other known methods for multiple roots.
论文关键词：41A25,65D99,Rootfinding,Newton method,Multiple roots,Chebyshev method,Halley method,Newton-type methods
论文评审过程：Received 9 April 2007, Revised 6 January 2009, Available online 13 February 2009.
论文官网地址：https://doi.org/10.1016/j.cam.2009.02.006
