Numerical method for real root isolation of semi-algebraic system and its applications

نویسندگان

  • Zhenyi Ji
  • Wenyuan Wu
  • Yi Li
  • Yong Feng
چکیده

In this paper, based on the homotopy continuation method and the interval Newton method, an efficient algorithm is introduced to isolate the real roots of semi-algebraic system. Tests on some random examples and a variety of problems including transcendental functions arising in many applications show that the new algorithm reduces the cost substantially compared with the traditional symThis research was partially supported by the National Natural Science Foundation of China(11171053), and the National Natural Science Foundation of China Youth Fund Project(11001040,61103110) ∗Corresponding author Email address: [email protected] (Zhenyi Ji) Preprint submitted to J. Computational and Applied MathematicsApril 2, 2013

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عنوان ژورنال:
  • CoRR

دوره abs/1303.5503  شماره 

صفحات  -

تاریخ انتشار 2013