A matrix pencil approach for the solution of linear systems with rectangular or singular coefficient matrices

Athanasios D. Karageorgos, Athanasios A. Pantelous, Grigoris I. Kalogeropoulos

Research output: Contribution to journalArticleResearchpeer-review


We describe a new approach for the classical problem of solving ordinary systems of linear equations with rectangular (or singular) coefficient matrices. Using the complex Kronecker canonical form, the solution is analytically derived. This approach succeeds in decreasing the importance of arbitrary-unknown elements. More over, we have identified the necessary and required mathematical condition in order to be able to obtain the solutions of the subject system.

Original languageEnglish
Pages (from-to)85-100
Number of pages16
JournalNeural, Parallel and Scientific Computations
Issue number1
Publication statusPublished - Mar 2009
Externally publishedYes


  • Linear Singular Systems
  • Matrix Pencil Theory

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