Geodesic
The Peano--Baker series
Informatics and Automation, Classical and modern mathematics in the wake of Boris Nikolaevich Delone, Tome 275 (2011), pp. 167-171

Voir la notice de l'article provenant de la source Math-Net.Ru

This note reviews the Peano–Baker series and its use to solve the general linear system of ODEs. The account is elementary and self-contained, and is meant as a pedagogic introduction to this approach, which is well known but usually treated as a folklore result or as a purely formal tool. Here, a simple convergence result is given, and two examples illustrate that the series can be used explicitly as well. 
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     author = {Michael Baake and Ulrike Schl\"agel},
     title = {The {Peano--Baker} series},
     journal = {Informatics and Automation},
     pages = {167--171},
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     volume = {275},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2011_275_a8/}
}
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Michael Baake; Ulrike Schlägel. The Peano--Baker series. Informatics and Automation, Classical and modern mathematics in the wake of Boris Nikolaevich Delone, Tome 275 (2011), pp. 167-171. http://geodesic.mathdoc.fr/item/TRSPY_2011_275_a8/