An algorithm for polynomial matrix factor extraction

0410400 - UTIA-B 20000116 RIV GB eng J - Journal Article
Henrion, D. - Šebek, Michael
An algorithm for polynomial matrix factor extraction.
International Journal of Control. Roč. 73, č. 8 (2000), s. 686-695. ISSN 0020-7179. E-ISSN 1366-5820
Institutional research plan: AV0Z1075907
Subject RIV: BC - Control Systems Theory
Impact factor: 0.705, year: 2000

An algorithm is described for extracting a polynomial matrix factor featuring any subset of the zeros of a given non-singular polynomial matrix. It is assumed that the zeros to be extracted are given as input data. Complex or repeated zeros are allowed. The algorithm is based on interpolation and relies upon numerically reliable subroutines only. It uses a procedure that computes the generalized characteristic vectors of a polynomial matrix at a given point. It is programmed in the Polynomial Toolbox.
Permanent Link: http://hdl.handle.net/11104/0130489