Numerical calculation of the multiplicity of a solution to algebraic equations

نویسندگان

  • Hidetsune Kobayashi
  • Hideo Suzuki
  • Yoshihiko Sakai
چکیده

A method to calculate numerically the multiplicity of a solution to a system of algebraic equations is presented. The method is an application of Zeuthen’s rule which gives the multiplicity of a solution as the multiplicity of a united point of an algebraic correspondence defined naturally by the system. The numerical calculation is applicable to a large scale system of algebraic equations which may have a solution that we cannot calculate the multiplicity by a symbolic computation.

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عنوان ژورنال:
  • Math. Comput.

دوره 67  شماره 

صفحات  -

تاریخ انتشار 1998