10Aug 2017

EXPLICIT FORMULAS FOR THE EXPONENTIALS OF SOME SPECIAL MATRICES.

  • University of Sri Jayewardenepura, Gangodawila, Nugegoda, Sri Lanka.
Crossref Cited-by Linking logo

  • Abstract
  • Keywords
  • References
  • Cite This Article as
  • Corresponding Author

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.

  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.
  3. Bernstein, S. Wasin, 'Some explicit formulas for the matrix exponential', vol.38 , no.8 , 1993.
  4. Walz, 'Computing the matrix exponential and other matrix functions' , 1988.
  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.

[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 (Aug). 129-137] (ISSN 2320-5407). www.journalijar.com

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

DOI:

Article DOI: 10.21474/IJAR01/5043      
DOI URL: https://dx.doi.org/10.21474/IJAR01/5043

Download Full Paper

Download PDF No. of Downloads: 31 | No. of Views: 106