Re: [HM] who is Gershgorin?

Thierry Guitard (guitard@ibm.net)
Sat, 16 Jan 1999 19:15:29 +0100

The result is in 1931 U"ber die abgrenzung der Eigenwerte einer Matrix Izv
Akad Nauk SSSR, Ser. fiz.-mat, 6, 749-754 quoted in Wilkinson the algebraic
eigenvalue problem Oxford 1965 ( chapter on perturbation theory ). G. proved
his theorem as a corollary of the Levy-desplanques theorem ( 1881 et 1887 )
whose results appeared for the first time in a book of Hadamard ( 1903 ) and
after that coined as Hadamard's theorem ( or sometimes so-called
Minkowski's as he rediscovered it in 1900 ). The proof of Gershgorin was
false and so the correct proof was from Olga Taussky ( 1949, a recurring
theorem on determinants - American Mathematical Monthly 56 pp 672-676 )
related also Bounds for characteristics roots of matrices Duke math. J , 15,
( 1948 ) p 1043

Thierry Guitard

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> -----Original Message-----
> From: "JUHEL Alain" <ajuhel@nordnet.fr>
> Sent: jeudi 14 janvier 1999 12:58
> To: HISTORIA-MATEMATICA
> Subject: [HM] who is Gershgorin?
>
>
> Dear Members,
>
> Has anybody heard about Gershgorin' biography?
> The only clue I found is in C. LANCZOS' Applied Analysis (Dover):
> he tells that his theorem on the localisation of eigenvalues goes
> back to 1931, but he doesn't give any reference where it appeared first.
>
> Every book about matrix analysis quotes the result, but no one
> seems to give any reference (I did not have GOLUB/VAN LOAN at hand).
> There is no entry at
> http://www-groups.dcs.st-and.ac.uk/~history/Alphabetical.html.
> So any information on his life and work would be greatly appreciated.
>
> Greatings from Lille,
> **************************************
> Alain JUHEL
> LILLE, France
> Tel : 03.20.77.63.69
> e-mail : ajuhel@nordnet.fr
> **************************************