Iwasawa decomposition

en

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Iwasawa decomposition

Quality:

Iwasawa decomposition - mathematical process dealing with Lie groups. Article “Iwasawa decomposition” in English Wikipedia has 12.7 points for quality (as of July 1, 2025). The article contains 2 references and 5 sections.

This article has the best quality in Korean Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Iwasawa decomposition”, its content was written by 28 registered users of English Wikipedia and edited by 61 registered Wikipedia users in all languages.

The article is cited 25 times in English Wikipedia and cited 48 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #129717 in March 2008
  • Global: #203236 in January 2009

The highest popularity rank from 2008:

  • Local (English): #677450 in March 2014
  • Global: #507504 in December 2008

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
1Korean (ko)
이와사와 분해
17.1015
2English (en)
Iwasawa decomposition
12.6943
3Chinese (zh)
岩泽分解
7.7278
4German (de)
Iwasawa-Zerlegung
3.4853
5French (fr)
Décomposition d'Iwasawa
0.9509
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 "Iwasawa decomposition" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Iwasawa decomposition
135 744
2German (de)
Iwasawa-Zerlegung
25 642
3French (fr)
Décomposition d'Iwasawa
11 450
4Chinese (zh)
岩泽分解
6 887
5Korean (ko)
이와사와 분해
4 452
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 "Iwasawa decomposition" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Iwasawa decomposition
879
2German (de)
Iwasawa-Zerlegung
177
3French (fr)
Décomposition d'Iwasawa
66
4Chinese (zh)
岩泽分解
38
5Korean (ko)
이와사와 분해
22
More...

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

The highest AI

Language versions of the article "Iwasawa decomposition" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Iwasawa decomposition
28
2German (de)
Iwasawa-Zerlegung
16
3French (fr)
Décomposition d'Iwasawa
12
4Chinese (zh)
岩泽分解
3
5Korean (ko)
이와사와 분해
2
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 "Iwasawa decomposition" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Iwasawa-Zerlegung
0
2English (en)
Iwasawa decomposition
0
3French (fr)
Décomposition d'Iwasawa
0
4Korean (ko)
이와사와 분해
0
5Chinese (zh)
岩泽分解
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 "Iwasawa decomposition" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Iwasawa decomposition
25
2German (de)
Iwasawa-Zerlegung
8
3Korean (ko)
이와사와 분해
7
4French (fr)
Décomposition d'Iwasawa
4
5Chinese (zh)
岩泽分解
4
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
Iwasawa-Zerlegung
enEnglish
Iwasawa decomposition
frFrench
Décomposition d'Iwasawa
koKorean
이와사와 분해
zhChinese
岩泽分解

Popularity rank trends

Best Rank English:
#677450
03.2014
Global:
#507504
12.2008

AI rank trends

Best Rank English:
#129717
03.2008
Global:
#203236
01.2009

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Iwasawa decomposition from Wikipedia articles about QR decomposition, Gram-Schmidt process, SL2(R), Lie group decomposition and Kenkichi Iwasawa. Whereas reading the article about Iwasawa decomposition people most often go to Wikipedia articles on Kenkichi Iwasawa, Cartan decomposition, Lie group decomposition, QR decomposition and Simple Lie group.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 10 February 2026

On 10 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Ghislaine Maxwell, Ilia Malinin, Bad Bunny, 2026 Winter Olympics, Epstein files, Jutta Leerdam, Jake Paul, Puerto Rico, Little Saint James.

In English Wikipedia the most popular articles on that day were: Bad Bunny, Jeffrey Epstein, Epstein files, Ilia Malinin, Savannah Guthrie, Ghislaine Maxwell, 2026 Winter Olympics, List of Super Bowl halftime shows, Eileen Gu, Jutta Leerdam.

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