Journal of Jilin University Science Edition

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Verifying Methods of Multiple Roots of Nonlinear Equations

SANG Haifeng1,2, WAN Baocheng1,3   

  1. 1. College of Mathematics, Jilin University, Changchun 130012, China;2. College of Mathematics and Statistics, Beihua University, Jilin 132013,
    Jilin Province, China;3. College of Information Technology, Jilin Agricultural University, Changchun 130118, China
  • Received:2013-10-08 Online:2014-07-26 Published:2014-09-26
  • Contact: WAN Baocheng E-mail:wanbaocheng@163.com

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Abstract:

We studied the verifying methods of the multiple roots of nonlinear equations with the help of the interval algorithm and bordered system,  proposing the verifying algorithm, by which an approximate solution and its error bound are output so as to get  an exact solution  within the computed bounds.

Key words: nonlinear equations, certification, interval algorithm

CLC Number: 

  • O241.7
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