Generalized minimal residual method

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Generalized minimal residual method

Quality:

Generalized minimal residual method - iterative method for the numerical solution of a nonsymmetric system of linear equations. Article "Generalized minimal residual method" in English Wikipedia has 25.4 points for quality (as of July 1, 2025). The article contains 8 references and 9 sections.

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

Since the creation of article "Generalized minimal residual method", its content was written by 52 registered users of English Wikipedia and edited by 123 registered Wikipedia users in all languages.

The article is cited 36 times in English Wikipedia and cited 180 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #80277 in June 2017
  • Global: #78269 in March 2006

The highest popularity rank from 2008:

  • Local (English): #233957 in November 2010
  • Global: #313307 in October 2009

There are 5 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)
Generalized minimal residual method
25.4273
2Chinese (zh)
广义最小残量方法
24.9993
3Japanese (ja)
GMRES法
19.251
4German (de)
GMRES-Verfahren
16.1364
5French (fr)
GMRES
6.8808
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 "Generalized minimal residual method" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Generalized minimal residual method
563 115
2German (de)
GMRES-Verfahren
80 301
3Japanese (ja)
GMRES法
43 976
4French (fr)
GMRES
34 471
5Chinese (zh)
广义最小残量方法
33 447
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 "Generalized minimal residual method" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Generalized minimal residual method
2 529
2German (de)
GMRES-Verfahren
258
3French (fr)
GMRES
162
4Japanese (ja)
GMRES法
121
5Chinese (zh)
广义最小残量方法
108
More...

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

The highest AI

Language versions of the article "Generalized minimal residual method" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Generalized minimal residual method
52
2German (de)
GMRES-Verfahren
31
3French (fr)
GMRES
20
4Japanese (ja)
GMRES法
11
5Chinese (zh)
广义最小残量方法
9
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 "Generalized minimal residual method" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
GMRES-Verfahren
0
2English (en)
Generalized minimal residual method
0
3French (fr)
GMRES
0
4Japanese (ja)
GMRES法
0
5Chinese (zh)
广义最小残量方法
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 "Generalized minimal residual method" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Japanese (ja)
GMRES法
124
2English (en)
Generalized minimal residual method
36
3German (de)
GMRES-Verfahren
11
4Chinese (zh)
广义最小残量方法
7
5French (fr)
GMRES
2
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
GMRES-Verfahren
enEnglish
Generalized minimal residual method
frFrench
GMRES
jaJapanese
GMRES法
zhChinese
广义最小残量方法

Popularity rank trends

Best Rank English:
#233957
11.2010
Global:
#313307
10.2009

AI rank trends

Best Rank English:
#80277
06.2017
Global:
#78269
03.2006

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Generalized minimal residual method from Wikipedia articles about Krylov subspace, Arnoldi iteration, Newton–Krylov method, Iterative numerical method and Biconjugate gradient stabilized method. Whereas reading the article about Generalized minimal residual method people most often go to Wikipedia articles on Arnoldi iteration, Krylov subspace, Biconjugate gradient method, MINRES and Yousef Saad.

Cumulative results of quality and popularity of the Wikipedia article

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

fr: GMRES

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

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