An algorithm for inverting rational matrices

Ching-An Lin*, Chien Wen Yang, Tung Fu Hsieh

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We propose an algorithm for computing the inverses of rational matrices and in particular the inverses of polynomial matrices. The algorithm is based on minimal state space realizations of proper rational matrices and the matrix inverse lemma and is implemented as a MATLAB 1 function. Experiments show that the algorithm gives accurate results for typical rational matrices that arise in analysis and design of linear multivariable control systems. Illustrative examples are given.

Original languageEnglish
Pages (from-to)47-53
Number of pages7
JournalSystems and Control Letters
Issue number1
StatePublished - 31 Jan 1996


  • Linear multivariable systems
  • Polynomial matrices
  • Rational matrix inverse

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