Explicit formulas for the matrix exponential

Autor: Mohammed Mouçouf, Said Zriaa
Jazyk: English<br />Portuguese
Rok vydání: 2022
Předmět:
Zdroj: Boletim da Sociedade Paranaense de Matemática, Vol 41 (2022)
Druh dokumentu: article
ISSN: 0037-8712
2175-1188
DOI: 10.5269/bspm.63692
Popis: In this work, new closed-form formulas for the matrix exponential are provided using certain polynomials which are constructed with the help of a generalization of Hermite's interpolation formula. Our method is direct and elementary, it gives tractable and manageable formulas not current in the extensive literature on this essential subject. Moreover, others are recuperated and generalized. Several particular cases and examples are formulated to illustrate the method presented in this paper.
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