Some explicit formulas for the polynomial decomposition of the matrix exponential and applications

DOI10.1016/S0024-3795(02)00271-9zbMath1003.15021OpenAlexW2050150425MaRDI QIDQ1611882

R. Ben Taher, Mustapha Rachidi

Publication date: 28 August 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(02)00271-9

zbMATH Keywords

summation of seriesJordan normal formmatrix exponentialconvergence of a seriesmatrix polynomial decompositionpowers of a matrix

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Matrices over function rings in one or more variables (15A54) Approximation to limiting values (summation of series, etc.) (40A25) Canonical forms, reductions, classification (15A21)

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Cites Work

• More explicit formulas for the matrix exponential
• Some explicit formulas for the matrix exponential
• Nineteen Dubious Ways to Compute the Exponential of a Matrix
• Some Explicit Formulas for the Exponential Matrix e tA
• Linear recurrence relations in the algebra of matrices and applications
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