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Matrix completion problems over integral domains: The case with a diagonal of prescribed blocks

✍ Scribed by Alberto Borobia; Roberto Canogar


Book ID
113772022
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
256 KB
Volume
436
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES


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.