VerifyRealRoots: A Matlab Package for Computing Verified Real Solutions of Polynomials Systems of Equations and Inequalities

Zhengfeng Yang, Hanrui Zhao, Lihong Zhi

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

VerifyRealRoots is a Matlab package for computing and verifying real solutions of polynomial systems of equations and inequalities. It calls Bertini or MMCRSolver for finding approximate real solutions and then applies AINLSS to verify the existence of a regular solution of a polynomial system or applies AINLSS2 (AIVISS) to verify the existence of a double solution (a singular solution of an arbitrary multiplicity) of a slightly perturbed polynomial system.

Original languageEnglish
Pages (from-to)866-883
Number of pages18
JournalJournal of Systems Science and Complexity
Volume36
Issue number2
DOIs
StatePublished - Apr 2023

Keywords

  • Error bounds
  • polynomial system
  • real solutions
  • singular solutions
  • verification

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