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 |
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Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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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. |
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ISSN: | 1072-3374 1573-8795 |
DOI: | 10.1007/s10958-020-04943-6 |