Distribution of number of roots of random polynomial equations in small intervals

Research output: Contribution to journalArticlepeer-review

Abstract

The problem of finding the probability distribution of the number of zeros in some real interval of a random polynomial whose coefficients have a given continuous joint density function is considered. A new simulation algorithm for solving this problem is presented. The effectiveness of the presented algorithm for the case where the real interval is small is proved.

Original languageEnglish
Pages (from-to)397-404
Number of pages8
JournalInternational Journal of Mathematics and Computers in Simulation
Volume6
Issue number4
StatePublished - 2012

Keywords

  • Matlab
  • Monte carlo algorithm
  • Random polynomial
  • Simulation

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