A minimal polynomial basis of unitary invariants of a square matrix of the third order
β Scribed by K. S. Sibirskii
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1968
- Tongue
- English
- Weight
- 173 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
Let A be a set of non-negative integers. If every sufficiently large integer is the sum of h not necessarily distinct elements of A, then A is called an asymptotic basis of order h. An asymptotic basis A of order h is called minimal if no proper subset of A is an asymptotic basis of order h. It is p
Let A be an n Γ n matrix over an arbitrary field F of the form AI, 1 AI, z] A = A2.1 A2,2 J, where A1, 1 ~ F pΓp, A2. 2 ~ F qΓq, and p + q = n. We characterize the possible nmnber of nontrivial invariant polynomials of A, when the submatrices A L 2 and A2, 1 are prescribed.