Mathematical  Culture and Thought

Mathematical Culture and Thought

Matrix Exponential—Another Approach

Document Type : Translation

Authors
Faculty of ‎Mathematical Sciences‎‎, University of Kashan‎, ‎Iran
10.30504/mct.2024.1448.2017
Abstract
The exponential of a matrix and the spectral decomposition of a matrix can be computed knowing nothing more than the eigenvalues of the matrix and the Cayley-Hamilton theorem. The arrangement of the ideas in this paper is simple enough to be taught to beginning students of ODEs.
Keywords

Subjects


Harris, Jr., ‎W.‎ A., Fillmore, J. P., Smith, D. R., Matrix exponentials—Another approach, ‎ SIAM Rev., 43 (2001), 4, 694-706.

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Volume 44, Issue 2 - Serial Number 77
October 2025
Pages 113-128

  • Receive Date 20 January 2024
  • Accept Date 22 January 2024
  • Publish Date 23 September 2025