Canonical Form of Reduced 3-by-3 Matrix with One Characteristic Root and with Some Zero Subdiagonal Elements
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DOI: 10.1155/2019/7646132
Abstract: A canonical form for a reduced matrix of order 3 with one characteristic root and with some zero subdiagonal elements is constructed. Thus, the problem of classification with respect to semiscalar equivalence of a selected… read more here.
Keywords: one characteristic; reduced matrix; characteristic root; canonical form ... See more keywords
Reduction to a Canonical Form of a Third-Order Polynomial Matrix with One Characteristic Root by means of Semiscalarly Equivalent Transformations
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DOI: 10.1155/2020/7960987
Abstract: For the selected class of polynomial matrices of order three with one characteristic root with respect to the transformation of semiscalar equivalence, special triangular forms are established. The theorems of their uniqueness are proved. This… read more here.
Keywords: reduction canonical; order; one characteristic; characteristic root ... See more keywords