Journal of Northeastern University ›› 2007, Vol. 28 ›› Issue (5): 620-622.DOI: -

• OriginalPaper • Previous Articles     Next Articles

New homotopic path-tracking algorithm based on matlab

Hui, Xing-Jie (1); Li, Xia (2); Chen, Yi-Ming (2)   

  1. (1) Branch of Qinhuangdao, Northeastern University, Qinhuangdao 066004, China; (2) School of Sciences, Yanshan University, Qinhuangdao 066004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2007-05-15 Published:2013-06-24
  • Contact: Hui, X.-J.
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Abstract: The homotopy continuation algorithm can solve non-linear equations without initial values, but lots of computation shall be done. Therefore, a new homotopic path-tracking algorithm based on Matlab and its function '\' is proposed using secant-prediction and Newton-correction. Examples showed that the algorithm is correct, simple, convenient and reliable, thus offering a way to implement easily the homotopy algorithm.

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