Explicit formulas for the matrix exponential

DOI10.5269/bspm.63692OpenAlexW4360763104MaRDI QIDQ6154735

M. Mouçouf, S. Zriaa

Publication date: 16 February 2024

Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5269/bspm.63692

zbMATH Keywords

eigenvaluespolynomialsmatrix exponentialVandermonde matrices

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Basic linear algebra (15A99) Matrices, determinants in number theory (11C20) Matrix exponential and similar functions of matrices (15A16)

Related Items (1)

Explicit formulas for the matrix logarithm and the principal matrix logarithm

Cites Work

• Verified computation of the matrix exponential
• Matrix Exponentials---Another Approach
• Further ways to approximate the exponential of a matrix
• A New Scaling and Squaring Algorithm for the Matrix Exponential
• On the calculation of matrix exponential
• Nineteen Dubious Ways to Compute the Exponential of a Matrix
• Classroom Note:A Note on the Matrix Exponential
• The Matrix Exponential
• Computation of the matrix exponential and its derivatives by scaling and squaring
• New Scaling-Squaring Taylor Algorithms for Computing the Matrix Exponential
• Functions of Matrices
• Avoiding the Jordan Canonical Form in the Discussion of Linear Systems with Constant Coefficients
• Some Explicit Formulas for the Exponential Matrix e tA
• A new approach for computing the inverse of confluent Vandermonde matrices via Taylor's expansion

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