Computer Aided Control System Design
  Polynomial Control Design Methods

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This webpage aims at collecting a suite of testing data for various computational tasks with polynomial matrices. We would like to benchmark implementations of solvers for:

Spectral factorization of a polynomial matrix: X'X=A

  • not ready

J-spectral factorization of a polynomial matrix: X'JX=B

  • not ready

Unilateral linear equations with polynomial matrices: AX+BY=C

  • not ready

Bilateral linear equations with polynomial matrices: A'X+X'A=B

  • not ready

PolyBench

A graduate diploma project of Nikos Triandafyllidis, successfully defended in June 2005 at Mathematics Department at Aristotle University of Thessaloniki (Greece), provided a theoretical framework and software platform for benchmarking software packages for polynomial matrices. It is called PolyBench and is located at http://users.auth.gr/~ntrian/index.htm