Abstract
Let P be a complex polynomial. We prove that the associated polynomial matrixvalued function ˜P is surjective if for each λ ∈ C the polynomial P − λ has at least a simple zero and it is not surjective if it does not have the double zero property.
| Original language | English |
|---|---|
| Article number | 15-98 |
| Pages (from-to) | 1559-1561 |
| Number of pages | 3 |
| Journal | Operators and Matrices |
| Volume | 15 |
| Issue number | 4 |
| DOIs |
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| Publication status | Published - Dec 2021 |
Keywords
- Functional calculus with matrices
- Global problems concerning polynomials of matrices
- Natural powers of matrices
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