A method for determining constants in the linear combination of exponentials
Mathematica Bohemica (1996)
- Volume: 121, Issue: 2, page 121-122
- ISSN: 0862-7959
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Abstract
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topCerha, Jiří. "A method for determining constants in the linear combination of exponentials." Mathematica Bohemica 121.2 (1996): 121-122. <http://eudml.org/doc/247950>.
@article{Cerha1996,
abstract = {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 $b_1, \dots , b_n$.},
author = {Cerha, Jiří},
journal = {Mathematica Bohemica},
keywords = {fundamental matrix; eigenvalues; linear system of ordinary differential equations; linear differential system; shifted exponentials; the least square method; fundamental matrix; eigenvalues; linear system of ordinary differential equations},
language = {eng},
number = {2},
pages = {121-122},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A method for determining constants in the linear combination of exponentials},
url = {http://eudml.org/doc/247950},
volume = {121},
year = {1996},
}
TY - JOUR
AU - Cerha, Jiří
TI - A method for determining constants in the linear combination of exponentials
JO - Mathematica Bohemica
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 121
IS - 2
SP - 121
EP - 122
AB - 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 $b_1, \dots , b_n$.
LA - eng
KW - fundamental matrix; eigenvalues; linear system of ordinary differential equations; linear differential system; shifted exponentials; the least square method; fundamental matrix; eigenvalues; linear system of ordinary differential equations
UR - http://eudml.org/doc/247950
ER -
References
top- P. Hartman, Ordinary differential equations, John Wiley & Sons, New York, London, Sydney, 1964. (1964) Zbl0125.32102MR0171038
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