Serre's Reduction of Linear Functional Systems

M. S. Boudellioua, A. Quadrat*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)


Serre's reduction aims at reducing the number of unknowns and equations of a linear functional system. Finding an equivalent presentation of a linear functional system containing fewer equations and fewer unknowns can generally simplify both the study of the structural properties of the linear functional system and of different numerical analysis issues, and it can sometimes help solving the linear functional system. The purpose of this paper is to present a constructive approach to Serre's reduction for determined and underdetermined linear functional systems.

Original languageEnglish
Pages (from-to)289-312
Number of pages24
JournalMathematics in Computer Science
Issue number2-3
Publication statusPublished - Sept 2010


  • Homological algebra
  • Linear functional systems
  • Mathematical systems theory
  • Module theory
  • Serre's reduction
  • Symbolic computation

ASJC Scopus subject areas

  • Computational Mathematics
  • Computational Theory and Mathematics
  • Applied Mathematics


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