| Title:
|
A method for determining constants in the linear combination of exponentials (English) |
| Author:
|
Cerha, J. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
121 |
| Issue:
|
2 |
| Year:
|
1996 |
| Pages:
|
121-122 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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 $b_1, \dots, b_n$. (English) |
| Keyword:
|
fundamental matrix |
| Keyword:
|
eigenvalues |
| Keyword:
|
linear system of ordinary differential equations |
| Keyword:
|
linear differential system |
| Keyword:
|
shifted exponentials |
| Keyword:
|
the least square method |
| MSC:
|
34A30 |
| MSC:
|
65D15 |
| MSC:
|
65D20 |
| MSC:
|
65F15 |
| MSC:
|
65L99 |
| idZBL:
|
Zbl 0863.65003 |
| idMR:
|
MR1400603 |
| DOI:
|
10.21136/MB.1996.126106 |
| . |
| Date available:
|
2009-09-24T21:17:05Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126106 |
| . |
| Reference:
|
[1] P. Hartman: Ordinary differential equations.John Wiley & Sons, New York, London, Sydney, 1964. Zbl 0125.32102, MR 0171038 |
| . |
