Computation of the Exponential of a Matrix I: Theoretical Considerations
- 1 June 1973
- journal article
- research article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 11 (3) , 369-375
- https://doi.org/10.1093/imamat/11.3.369
Abstract
A theorem is proved which establishes the existence of approximations to analytic functions, f(A), of a general square matrix A. For the particular function exp (A) it is shown that three general classes of approximants, namely Bernstein polynomial approximants, truncated power series approximants and Padé approximants, satisfy the conditions of the theorem.Keywords
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