Details

Autor(en) / Beteiligte

• Mingsheng, W.
• Kwong, C.P.

Titel

On multivariate polynomial matrix factorization problems

Ist Teil von

• Mathematics of control, signals, and systems, 2005-10, Vol.17 (4), p.297-311

Ort / Verlag

London: Springer Nature B.V

Erscheinungsjahr

2005

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• This paper studies the multivariate polynomial matrix factorization problems which have applications to multidimensional systems theory and signal processing. We first extract an algorithm from Pommaret's proof of the Lin-Bose conjecture. Then we simplify our algorithm, and prove a theorem which gives a sufficient and necessary condition for a multivariate polynomial matrix to have an minor left prime (MLP) factorization. Examples are given to illustrate the effectiveness of this algorithm. Our results hold for any coefficient field and thus have a wide range of applications. [PUBLICATION ABSTRACT]