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A minimal polynomial basis of unitary invariants of a square matrix of the third order

✍ 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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On the Order of a Minimal Additive Basis
✍ Georges Grekos πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 130 KB

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

The number of invariant polynomials of a
✍ Maria da GraΓ§a Marques πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 323 KB

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 pΓ—p, A2. 2 ~ F qΓ—q, 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.