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Real root classification of parametric spline functions

Author

Listed:
  • Wu, Jinming
  • Wang, Renhong
  • Zhang, Xiaolei

Abstract

The real root classification of a given parametric spline function is a collection of possible cases of its real root distribution on every interval, together with the conditions of its coefficients must be satisfied for each case. This paper presents an algorithm to deal with the real root classification of a given parametric spline function. Two examples are provided to illustrate the proposed algorithm is flexible.

Suggested Citation

  • Wu, Jinming & Wang, Renhong & Zhang, Xiaolei, 2015. "Real root classification of parametric spline functions," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 212-220.
  • Handle: RePEc:eee:apmaco:v:250:y:2015:i:c:p:212-220
    DOI: 10.1016/j.amc.2014.10.094
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