@article{TAHER200115,
    Abstract = {We study here some linear recurrence relations in the algebra of square matrices. With the aid of the Cayley--Hamilton Theorem, we derive some explicit formulas for An (n⩾r) and etA for every r×r matrix A, in terms of the coefficients of its characteristic polynomial and matrices Aj, where 0⩽j⩽r−1.},
    Author = {Taher, Rajae Ben and Rachidi, Mustapha},
    File = {Linear recurrence relations in the algebra ofmatrices and applications - 1-s2.0-S0024379501002592-main - a.pdf},
    ISSN = {0024-3795},
    Journal = {Linear Algebra and its Applications},
    Keywords = {Linear recurrence relations, Algebra of matrices, Combinatorial expression, Exponent of a matrix, Exponential of a matrix},
    Number = {1},
    Pages = {15-24},
    Title = {Linear recurrence relations in the algebra of matrices and applications},
    URL = {https://www.sciencedirect.com/science/article/pii/S0024379501002592},
    Volume = {330},
    Year = {2001},
    bdsk-url-1 = {https://www.sciencedirect.com/science/article/pii/S0024379501002592},
    bdsk-url-2 = {https://doi.org/10.1016/S0024-3795(01)00259-2},
    date-added = {2023-10-05 07:48:21 +0200},
    date-modified = {2023-10-05 07:48:21 +0200},
    doi = {10.1016/S0024-3795(01)00259-2}
}

@article{TAHER200115, Abstract = {We study here some linear recurrence relations in the algebra of square matrices. With the aid of the Cayley--Hamilton Theorem, we derive some explicit formulas for An (n⩾r) and etA for every r×r matrix A, in terms of the coefficients of its characteristic polynomial and matrices Aj, where 0⩽j⩽r−1.}, Author = {Taher, Rajae Ben and Rachidi, Mustapha}, File = {Linear recurrence relations in the algebra ofmatrices and applications - 1-s2.0-S0024379501002592-main - a.pdf}, ISSN = {0024-3795}, Journal = {Linear Algebra and its Applications}, Keywords = {Linear recurrence relations, Algebra of matrices, Combinatorial expression, Exponent of a matrix, Exponential of a matrix}, Number = {1}, Pages = {15-24}, Title = {Linear recurrence relations in the algebra of matrices and applications}, URL = {https://www.sciencedirect.com/science/article/pii/S0024379501002592}, Volume = {330}, Year = {2001}, bdsk-url-1 = {https://www.sciencedirect.com/science/article/pii/S0024379501002592}, bdsk-url-2 = {https://doi.org/10.1016/S0024-3795(01)00259-2}, date-added = {2023-10-05 07:48:21 +0200}, date-modified = {2023-10-05 07:48:21 +0200}, doi = {10.1016/S0024-3795(01)00259-2} }