On some ``tame and ``wild aspects of the problem of semiscalar equivalence of polynomial matrices

DOI10.1023/B:MATN.0000036747.26055.cbzbMath1067.15024MaRDI QIDQ1889694

B. Z. Shavarovs'kij

Publication date: 7 December 2004

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

canonical formsclassification problempolynomial matrixtame problemsemiscalar equivalencewild problem

Mathematics Subject Classification ID

Matrices over function rings in one or more variables (15A54) Canonical forms, reductions, classification (15A21)

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Reduction to a canonical form of a third-order polynomial matrix with one characteristic root by means of semiscalarly equivalent transformations, Semiscalar Equivalence and Quasidiagonal Similarity of the Matrices, Canonical form of reduced 3-by-3 matrix with one characteristic root and with some zero subdiagonal elements