Jacobi's method : B.S. Jacobi or C.J.G. Jacobi
Alex.Lupas
for solving linear systems was
discovered (in 1845 ? ) by
Boris Semionovici JACOBI ( Russian mathematician)
or by German matehmatician
Carl Jacob Gustav JACOBI
Please help with a reference .
===
Hermann Kremer
>Jacobi's iterative method
>for solving linear systems was
>discovered (in 1845 ? ) by
>
> Boris Semionovici JACOBI ( Russian mathematician)
>
>or by German matehmatician
>
> Carl Jacob Gustav JACOBI
Carl Gustav Jacob, see below
http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Jacobi.html
Boris Semjonowitsch Jakobi, aka Boris Semionovich Yakobi (1801-1874), was the
elder brother of Carl Gustav Jacob Jacobi; his name in German is
Moritz Hermann Jacobi.
In 1835 he got a chair of physics at Dorpat (now Tartu) University (Estonia), and in
1837 he moved to the Russian Academy of Sciences in St. Petersburg.
http://chem.ch.huji.ac.il/~eugeniik/history/jacobi.html (at the bottom are a few
links to biographies in Russian).
http://hp.iitp.ru/ger/32/3284.htm
http://hp.iitp.ru/ger/32/3284a.htm
>Please help with a reference .
C. G. Jacobi: Über eine neue Auflösungsart der bei der Methode der kleinsten
Quadrate vorkommenden linearen Gleichungen.
[On a new way of solving the linear equations arising in the method of least
squares].
Astronomische Nachrichten Vol. 22 (1845), Issue No. 523.
It may also be found in Jacobi's "Collected Works in 7 Vols. Berlin: R. Reimer
1881-1891" in Vol. 3, p. 467-478.
All 7 volumes are online at the Bibliothèque Nationale de France in Paris:
http://gallica.bnf.fr --> Recherche --> Auteur Jacobi
but currently the server is partially down due to update and maintainance.
Here are some more references:
http://www.numerik.uni-kiel.de/~in/PAPER/Diplom/node43.html --> Jacobi45
http://www.cs.umd.edu/TRs/authors/C_G_Jacobi.html
--> CS-TR-2877, but the full paper seems to be no more available ;-((
Hope that helps ...
Best regards
Hermann
--
Alex.Lupas
Ich danke Ihnen sehr fuer die ausfuerliche Informationen !
Gruesse, Alex
Daniel Kressner
> Here are some more references:
> http://www.numerik.uni-kiel.de/~in/PAPER/Diplom/node43.html --> Jacobi45
> http://www.cs.umd.edu/TRs/authors/C_G_Jacobi.html
> --> CS-TR-2877, but the full paper seems to be no more available ;-((
It can be downloaded from
ftp://thales.cs.umd.edu/pub/reports/nwsleamls.ps
Daniel