Vol. 5 (08) pp. 129-137 DOI: 10.21474/IJAR01/5043

EXPLICIT FORMULAS FOR THE EXPONENTIALS OF SOME SPECIAL MATRICES.

  • University of Sri Jayewardenepura, Gangodawila, Nugegoda, Sri Lanka.
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Abstract

The matrix exponential has many applications in the fields of mathematics, physics and economics. There are many explicit formulas that have been developed for compute the matrix exponential. In this paper we give some explicit formulas for the exponentials of some special matrices. The main results are the extension of Beibei Wu's work.

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References

  1. Wu, 'Explicit formulas for the exponentials of some special matrices', Shanghai University of Electric Power, Applied Mathematics Letters 24 (2011), pp. 642-647.
  2. Moler,C.Loan, 'Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty- Five Years Later', SIAM Review 45 ,2003 , pp. 3-49.
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  5. D.Higham,'How and how not to compute the exponential of a matrix', The University of Manchester.
  6. Apostol, 'Some explicit formulas for the matrix exponential, Amer. Math', 1969 , pp.284- 292.

How to Cite This Article

K. K. W. A. S Kumara and W. L. C. Piyasundara. (2017); EXPLICIT FORMULAS FOR THE EXPONENTIALS OF SOME SPECIAL MATRICES., Int. J. of Adv. Res., 5 (08), 129-137, ISSN 2320-5407. DOI: https://doi.org/10.21474/IJAR01/5043

Corresponding Author

W.L.C.Piyasundara, K.K.W.A.S Kumara
University of Sri Jayewardenepura, Gangodawila, Nugegoda, Sri Lanka