Construction of a Minimal Basis of the Right Null Space of a Singular Multiparameter Polynomial Matrix

A modification of an algorithm using the resultant approach for computing a minimal basis of the right null space of a singular multiparameter polynomial matrix is suggested. The modification considered is based on simultaneous computation of bases of the image and kernel of a constant matrix and al...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2020-10, Vol.249 (2), p.290-300
1. Verfasser: Khazanov, V. B.
Format: Artikel
Sprache:eng
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Zusammenfassung:A modification of an algorithm using the resultant approach for computing a minimal basis of the right null space of a singular multiparameter polynomial matrix is suggested. The modification considered is based on simultaneous computation of bases of the image and kernel of a constant matrix and allows one to reduce computational costs. This modification also permits one to compute a basis of the image of a polynomial matrix. The algorithm performance is demonstrated on an example. Bibliography: 4 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-020-04943-6