Remarks on computinge^{At}
- 1 February 1971
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 16 (1) , 94-95
- https://doi.org/10.1109/tac.1971.1099630
Abstract
Some points which have arisen in the author's attempts to teach Kirchner's method of computing e At , where A is a real square matrix, to a class of undergraduate engineering students are discussed. These points include 1) how to avoid the one matrix inversion required, 2) how to handle pairs of complex eigenvalues, and 3) simplifications in the important case in which the eigenvalues are distinct.Keywords
This publication has 3 references indexed in Scilit:
- Some Explicit Formulas for the Exponential Matrix e tAThe American Mathematical Monthly, 1969
- An Explicit Formula for e AtThe American Mathematical Monthly, 1967
- Avoiding the Jordan Canonical Form in the Discussion of Linear Systems with Constant CoefficientsThe American Mathematical Monthly, 1966