Gauss–Seidel method

en

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Gauss–Seidel method

Quality:

Gauss–Seidel method - iterative method used to solve a linear system of equations. Article “Gauss–Seidel method” in English Wikipedia has 34 points for quality (as of July 1, 2025). The article contains 8 references and 16 sections.

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

Since the creation of article “Gauss–Seidel method”, its content was written by 110 registered users of English Wikipedia and edited by 451 registered Wikipedia users in all languages.

The article is cited 52 times in English Wikipedia and cited 647 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #38900 in June 2009
  • Global: #18094 in November 2004

The highest popularity rank from 2008:

  • Local (English): #57047 in April 2015
  • Global: #53077 in April 2015

There are 24 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)
Gauss–Seidel method
33.95
2Polish (pl)
Metoda Gaussa-Seidla
33.8876
3Catalan (ca)
Mètode de Gauss-Seidel
21.9315
4Hindi (hi)
गाउस-साइडल विधि
19.346
5French (fr)
Méthode de Gauss-Seidel
18.8208
6German (de)
Gauß-Seidel-Verfahren
14.5017
7Ukrainian (uk)
Метод Гаусса — Зейделя
14.0249
8Hungarian (hu)
Gauss–Seidel-módszer
13.3485
9Korean (ko)
가우스-자이델 방법
10.4241
10Russian (ru)
Метод Гаусса — Зейделя решения системы линейных уравнений
10.0494
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 "Gauss–Seidel method" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Gauss–Seidel method
2 246 838
2Spanish (es)
Método de Gauss-Seidel
585 188
3German (de)
Gauß-Seidel-Verfahren
315 960
4Russian (ru)
Метод Гаусса — Зейделя решения системы линейных уравнений
293 781
5French (fr)
Méthode de Gauss-Seidel
237 396
6Portuguese (pt)
Método de Gauss-Seidel
227 182
7Japanese (ja)
ガウス=ザイデル法
204 964
8Polish (pl)
Metoda Gaussa-Seidla
190 130
9Italian (it)
Metodo di Gauss-Seidel
98 647
10Indonesian (id)
Metode Gauss-Seidel
91 436
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 "Gauss–Seidel method" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Gauss–Seidel method
4 897
2Russian (ru)
Метод Гаусса — Зейделя решения системы линейных уравнений
883
3Japanese (ja)
ガウス=ザイデル法
548
4Spanish (es)
Método de Gauss-Seidel
531
5German (de)
Gauß-Seidel-Verfahren
520
6French (fr)
Méthode de Gauss-Seidel
350
7Chinese (zh)
高斯-赛德尔迭代
346
8Portuguese (pt)
Método de Gauss-Seidel
290
9Italian (it)
Metodo di Gauss-Seidel
230
10Polish (pl)
Metoda Gaussa-Seidla
221
More...

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

The highest AI

Language versions of the article "Gauss–Seidel method" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Gauss–Seidel method
110
2German (de)
Gauß-Seidel-Verfahren
66
3Russian (ru)
Метод Гаусса — Зейделя решения системы линейных уравнений
50
4French (fr)
Méthode de Gauss-Seidel
36
5Spanish (es)
Método de Gauss-Seidel
30
6Italian (it)
Metodo di Gauss-Seidel
29
7Polish (pl)
Metoda Gaussa-Seidla
20
8Japanese (ja)
ガウス=ザイデル法
17
9Portuguese (pt)
Método de Gauss-Seidel
14
10Ukrainian (uk)
Метод Гаусса — Зейделя
12
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 "Gauss–Seidel method" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Gauß-Seidel-Verfahren
2
2Italian (it)
Metodo di Gauss-Seidel
1
3Arabic (ar)
طريقة غاوس-زايدل
0
4Catalan (ca)
Mètode de Gauss-Seidel
0
5Danish (da)
Gauss–Seidel-metoden
0
6English (en)
Gauss–Seidel method
0
7Spanish (es)
Método de Gauss-Seidel
0
8Persian (fa)
روش گاوس-سایدل
0
9French (fr)
Méthode de Gauss-Seidel
0
10Hebrew (he)
שיטת גאוס-זיידל
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 "Gauss–Seidel method" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Metodo di Gauss-Seidel
184
2Japanese (ja)
ガウス=ザイデル法
134
3French (fr)
Méthode de Gauss-Seidel
86
4English (en)
Gauss–Seidel method
52
5Russian (ru)
Метод Гаусса — Зейделя решения системы линейных уравнений
36
6German (de)
Gauß-Seidel-Verfahren
31
7Spanish (es)
Método de Gauss-Seidel
17
8Ukrainian (uk)
Метод Гаусса — Зейделя
17
9Persian (fa)
روش گاوس-سایدل
13
10Korean (ko)
가우스-자이델 방법
11
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
arArabic
طريقة غاوس-زايدل
caCatalan
Mètode de Gauss-Seidel
daDanish
Gauss–Seidel-metoden
deGerman
Gauß-Seidel-Verfahren
enEnglish
Gauss–Seidel method
esSpanish
Método de Gauss-Seidel
faPersian
روش گاوس-سایدل
frFrench
Méthode de Gauss-Seidel
heHebrew
שיטת גאוס-זיידל
hiHindi
गाउस-साइडल विधि
huHungarian
Gauss–Seidel-módszer
hyArmenian
Գաուս-Զեյդելի մեթոդ
idIndonesian
Metode Gauss-Seidel
itItalian
Metodo di Gauss-Seidel
jaJapanese
ガウス=ザイデル法
koKorean
가우스-자이델 방법
plPolish
Metoda Gaussa-Seidla
ptPortuguese
Método de Gauss-Seidel
ruRussian
Метод Гаусса — Зейделя решения системы линейных уравнений
srSerbian
Гаус-Зајделова метода
ukUkrainian
Метод Гаусса — Зейделя
urUrdu
گاسین اخراج
viVietnamese
Phương pháp Gauss-Seidel
zhChinese
高斯-赛德尔迭代

Popularity rank trends

Best Rank English:
#57047
04.2015
Global:
#53077
04.2015

AI rank trends

Best Rank English:
#38900
06.2009
Global:
#18094
11.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Gauss–Seidel method from Wikipedia articles about Jacobi method, Successive over-relaxation, Carl Friedrich Gauss, Iterative numerical method and Wikipedia article. Whereas reading the article about Gauss–Seidel method people most often go to Wikipedia articles on Jacobi method, Successive over-relaxation, Philipp Ludwig von Seidel, Diagonally dominant matrix and Definite matrix.

Cumulative results of quality and popularity of the Wikipedia article

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

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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