Gershgorin circle theorem

en

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Gershgorin circle theorem

Quality:

Gershgorin circle theorem - mathematical theorem about eigenvalues. Article "Gershgorin circle theorem" in English Wikipedia has 26 points for quality (as of July 1, 2025). The article contains 3 references and 10 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

In June 2025 the article "Gershgorin circle theorem" was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article "Gershgorin circle theorem", its content was written by 75 registered users of English Wikipedia and edited by 235 registered Wikipedia users in all languages.

The article is cited 41 times in English Wikipedia and cited 220 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #85612 in November 2012
  • Global: #82097 in September 2005

The highest popularity rank from 2008:

  • Local (English): #147907 in April 2021
  • Global: #224965 in April 2021

There are 14 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Gershgorin circle theorem
26.0259
2Italian (it)
Teoremi di Gershgorin
16.6569
3Russian (ru)
Круги Гершгорина
15.9174
4French (fr)
Théorème de Gerschgorin
14.1036
5Japanese (ja)
ゲルシュゴリンの定理
11.9259
6Swedish (sv)
Gersjgorins cirkelsats
11.0884
7Korean (ko)
게르시고린의 정리
11.0259
8Spanish (es)
Teorema de Gerschgorin
10.2651
9German (de)
Gerschgorin-Kreis
8.9447
10Polish (pl)
Twierdzenie Gerszgorina
6.4327
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Gershgorin circle theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Gershgorin circle theorem
643 193
2German (de)
Gerschgorin-Kreis
125 835
3French (fr)
Théorème de Gerschgorin
67 789
4Italian (it)
Teoremi di Gershgorin
62 934
5Spanish (es)
Teorema de Gerschgorin
40 905
6Japanese (ja)
ゲルシュゴリンの定理
28 858
7Polish (pl)
Twierdzenie Gerszgorina
16 333
8Hebrew (he)
עיגולי גרשגורן
11 187
9Russian (ru)
Круги Гершгорина
8 487
10Korean (ko)
게르시고린의 정리
8 376
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Gershgorin circle theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Gershgorin circle theorem
3 372
2French (fr)
Théorème de Gerschgorin
346
3German (de)
Gerschgorin-Kreis
277
4Japanese (ja)
ゲルシュゴリンの定理
272
5Italian (it)
Teoremi di Gershgorin
228
6Russian (ru)
Круги Гершгорина
205
7Spanish (es)
Teorema de Gerschgorin
88
8Korean (ko)
게르시고린의 정리
74
9Polish (pl)
Twierdzenie Gerszgorina
53
10Hungarian (hu)
Gersgorin-tétel
29
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Gershgorin circle theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Gershgorin circle theorem
75
2German (de)
Gerschgorin-Kreis
35
3Italian (it)
Teoremi di Gershgorin
32
4French (fr)
Théorème de Gerschgorin
29
5Spanish (es)
Teorema de Gerschgorin
17
6Japanese (ja)
ゲルシュゴリンの定理
10
7Hebrew (he)
עיגולי גרשגורן
9
8Polish (pl)
Twierdzenie Gerszgorina
9
9Swedish (sv)
Gersjgorins cirkelsats
7
10Finnish (fi)
Gershgorinin ympyrälause
4
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Gershgorin circle theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Gershgorin circle theorem
1
2German (de)
Gerschgorin-Kreis
0
3Spanish (es)
Teorema de Gerschgorin
0
4Finnish (fi)
Gershgorinin ympyrälause
0
5French (fr)
Théorème de Gerschgorin
0
6Hebrew (he)
עיגולי גרשגורן
0
7Hungarian (hu)
Gersgorin-tétel
0
8Italian (it)
Teoremi di Gershgorin
0
9Japanese (ja)
ゲルシュゴリンの定理
0
10Korean (ko)
게르시고린의 정리
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Gershgorin circle theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Japanese (ja)
ゲルシュゴリンの定理
123
2English (en)
Gershgorin circle theorem
41
3German (de)
Gerschgorin-Kreis
11
4French (fr)
Théorème de Gerschgorin
11
5Italian (it)
Teoremi di Gershgorin
10
6Spanish (es)
Teorema de Gerschgorin
5
7Ukrainian (uk)
Круги Гершгорина
4
8Hebrew (he)
עיגולי גרשגורן
3
9Hungarian (hu)
Gersgorin-tétel
3
10Swedish (sv)
Gersjgorins cirkelsats
3
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Gerschgorin-Kreis
enEnglish
Gershgorin circle theorem
esSpanish
Teorema de Gerschgorin
fiFinnish
Gershgorinin ympyrälause
frFrench
Théorème de Gerschgorin
heHebrew
עיגולי גרשגורן
huHungarian
Gersgorin-tétel
itItalian
Teoremi di Gershgorin
jaJapanese
ゲルシュゴリンの定理
koKorean
게르시고린의 정리
plPolish
Twierdzenie Gerszgorina
ruRussian
Круги Гершгорина
svSwedish
Gersjgorins cirkelsats
ukUkrainian
Круги Гершгорина

Popularity rank trends

Best Rank English:
#147907
04.2021
Global:
#224965
04.2021

AI rank trends

Best Rank English:
#85612
11.2012
Global:
#82097
09.2005

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Gershgorin circle theorem from Wikipedia articles about Diagonally dominant matrix, Stochastic matrix, QR algorithm, Geometrical properties of polynomial roots and Hollow matrix. Whereas reading the article about Gershgorin circle theorem people most often go to Wikipedia articles on Semyon Aranovich Gershgorin, Perron–Frobenius theorem, Spectrum, Diagonally dominant matrix and Schur–Horn theorem.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 12 August 2025

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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information