, Volume 54, Issue 3, pp 669–683 | Cite as

Numerical validation for systems of absolute value equations

  • H. J. WangEmail author
  • D. X. Cao
  • H. LiuEmail author
  • L. Qiu


This paper establishes a numerical validation test for solutions of systems of absolute value equations based on the Poincaré–Miranda theorem. In this paper, the Moore–Kioustelidis theorem is generalized for nondifferential systems of absolute value equations. Numerical results are reported to show the efficiency of the new test method.


Systems of absolute value equations Poincaré–Miranda theorem Error bounds 

Mathematics Subject Classification

65K05 90C30 



The authors thank the referee for his/her valuable comments and suggestions which improved the original manuscript of this paper.


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Copyright information

© Springer-Verlag Italia 2016

Authors and Affiliations

  1. 1.College of ScienceChina University of Mining and TechnologyXuzhouPeople’s Republic of China
  2. 2.College of SciencesNanjing Tech UniversityNanjingPeople’s Republic of China

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