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A Formula for the Exponential of a Real Skew-Symmetric Matrix of Order 4

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Abstract

In this short paper the formula of the exponential matrix e A when A is a kew-symmetric real matrix of order 4 is derived. The formula is a generalization of the well known Rodrigues formula for skew-symmetric matrices of order 3.

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REFERENCES

  1. E. Celledoni and A. Iserles, Approximating the exponential from a Lie algebra to a Lie group, Tech. Report DAMTP 1998/ NA03, Numerical Analysis, Cambridge University, Cambridge, England, 1998.

    Google Scholar 

  2. E. Celledoni and A. Iserles, Methods for the approximation of the matrix exponential in Lie-algebraic setting, Tech.Report DAMTP 1999/ NA03, Numerical Analysis, Cambridge University, Cambridge, England, 1998.

    Google Scholar 

  3. R. A. Horn and C. R. Johnson, Topics in Matrix Analysis, Cambridge University Press, Cambridge, England, 1986.

    Google Scholar 

  4. C. Moler and C. Van Loan, Nineteen dubious ways to compute the exponential of a matrix, SIAM Review, 20:4 (1978), pp. 801–836.

    Article  Google Scholar 

  5. H. Munthe-Kaas, Lie-Butcher theory for Runge-Kutta methods, BIT 35:4 (1995), pp. 572–587.

    Article  Google Scholar 

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Politi, T. A Formula for the Exponential of a Real Skew-Symmetric Matrix of Order 4. BIT Numerical Mathematics 41, 842–845 (2001). https://doi.org/10.1023/A:1021960405660

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  • DOI: https://doi.org/10.1023/A:1021960405660

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