Geodesic
A method for determining constants in the linear combination of exponentials
Mathematica Bohemica, Tome 121 (1996) no. 2, pp. 121-122.

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Shifting a numerically given function $b_1 \exp a_1t + \dots+ b_n \exp a_n t$ we obtain a fundamental matrix of the linear differential system $\dot{y} =Ay$ with a constant matrix $A$. Using the fundamental matrix we calculate $A$, calculating the eigenvalues of $A$ we obtain $a_1, \dots, a_n$ and using the least square method we determine $b_1, \dots, b_n$.
DOI : 10.21136/MB.1996.126106
Classification : 34A30, 65D15, 65D20, 65F15, 65L99
Keywords: fundamental matrix; eigenvalues; linear system of ordinary differential equations; linear differential system; shifted exponentials; the least square method 
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Cerha, J. A method for determining constants in the linear combination of exponentials. Mathematica Bohemica, Tome 121 (1996) no. 2, pp. 121-122. doi : 10.21136/MB.1996.126106. http://geodesic.mathdoc.fr/articles/10.21136/MB.1996.126106/

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