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- Title
Some Counterexamples for Cayley–Hamilton Theorem for Doubly Infinite Matrices.
- Authors
Słowik, Roksana
- Abstract
We study the question about generalization of the Cayley–Hamilton theorem. Namely, the problem if for every banded periodic doubly infinite matrix A there exists polynomial Q such that Q(A) is a matrix with constant diagonals. We present a class of doubly infinite matrices for which such polynomial does not exist.
- Subjects
MATRICES (Mathematics); POLYNOMIALS; GENERALIZATION
- Publication
Bulletin of the Malaysian Mathematical Sciences Society, 2020, Vol 43, Issue 5, p3349
- ISSN
0126-6705
- Publication type
Article
- DOI
10.1007/s40840-019-00873-y