Moore–Penrose inverse

en

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Moore–Penrose inverse

Quality:

Moore–Penrose inverse - given a matrix A, the unique matrix B such that ABA = A, BAB = B, and that AB and BA are both Hermitian. Article “Moore–Penrose inverse” in English Wikipedia has 53.9 points for quality (as of July 1, 2025). The article contains 44 references and 43 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.

In June 2025 the article “Moore–Penrose inverse” was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article “Moore–Penrose inverse”, its content was written by 170 registered users of English Wikipedia and edited by 214 registered Wikipedia users in all languages.

The article is cited 124 times in English Wikipedia and cited 204 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #17269 in September 2005
  • Global: #37806 in December 2003

The highest popularity rank from 2008:

  • Local (English): #27879 in October 2020
  • Global: #54074 in October 2020

There are 8 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)
Moore–Penrose inverse
53.867
2Japanese (ja)
ムーア・ペンローズ逆行列
41.2321
3Chinese (zh)
穆尔-彭罗斯广义逆
38.6094
4Vietnamese (vi)
Giả nghịch đảo Moore–Penrose
28.2606
5Portuguese (pt)
Inversa de Moore–Penrose
24.3341
6Korean (ko)
무어-펜로즈 유사역행렬
22.5227
7Spanish (es)
Pseudoinversa de Moore-Penrose
17.331
8Swedish (sv)
Moore–Penroses pseudoinvers
9.7965
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 "Moore–Penrose inverse" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Moore–Penrose inverse
3 098 139
2Chinese (zh)
穆尔-彭罗斯广义逆
109 248
3Spanish (es)
Pseudoinversa de Moore-Penrose
66 617
4Korean (ko)
무어-펜로즈 유사역행렬
27 107
5Japanese (ja)
ムーア・ペンローズ逆行列
20 369
6Vietnamese (vi)
Giả nghịch đảo Moore–Penrose
18 567
7Swedish (sv)
Moore–Penroses pseudoinvers
6 520
8Portuguese (pt)
Inversa de Moore–Penrose
2 507
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 "Moore–Penrose inverse" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Moore–Penrose inverse
13 240
2Japanese (ja)
ムーア・ペンローズ逆行列
497
3Chinese (zh)
穆尔-彭罗斯广义逆
432
4Korean (ko)
무어-펜로즈 유사역행렬
295
5Spanish (es)
Pseudoinversa de Moore-Penrose
137
6Portuguese (pt)
Inversa de Moore–Penrose
130
7Vietnamese (vi)
Giả nghịch đảo Moore–Penrose
80
8Swedish (sv)
Moore–Penroses pseudoinvers
24
More...

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

The highest AI

Language versions of the article "Moore–Penrose inverse" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Moore–Penrose inverse
170
2Chinese (zh)
穆尔-彭罗斯广义逆
11
3Spanish (es)
Pseudoinversa de Moore-Penrose
10
4Japanese (ja)
ムーア・ペンローズ逆行列
7
5Swedish (sv)
Moore–Penroses pseudoinvers
5
6Korean (ko)
무어-펜로즈 유사역행렬
4
7Vietnamese (vi)
Giả nghịch đảo Moore–Penrose
4
8Portuguese (pt)
Inversa de Moore–Penrose
3
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 "Moore–Penrose inverse" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Moore–Penrose inverse
1
2Spanish (es)
Pseudoinversa de Moore-Penrose
0
3Japanese (ja)
ムーア・ペンローズ逆行列
0
4Korean (ko)
무어-펜로즈 유사역행렬
0
5Portuguese (pt)
Inversa de Moore–Penrose
0
6Swedish (sv)
Moore–Penroses pseudoinvers
0
7Vietnamese (vi)
Giả nghịch đảo Moore–Penrose
0
8Chinese (zh)
穆尔-彭罗斯广义逆
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 "Moore–Penrose inverse" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Moore–Penrose inverse
124
2Chinese (zh)
穆尔-彭罗斯广义逆
38
3Korean (ko)
무어-펜로즈 유사역행렬
14
4Swedish (sv)
Moore–Penroses pseudoinvers
9
5Spanish (es)
Pseudoinversa de Moore-Penrose
8
6Portuguese (pt)
Inversa de Moore–Penrose
5
7Vietnamese (vi)
Giả nghịch đảo Moore–Penrose
4
8Japanese (ja)
ムーア・ペンローズ逆行列
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
enEnglish
Moore–Penrose inverse
esSpanish
Pseudoinversa de Moore-Penrose
jaJapanese
ムーア・ペンローズ逆行列
koKorean
무어-펜로즈 유사역행렬
ptPortuguese
Inversa de Moore–Penrose
svSwedish
Moore–Penroses pseudoinvers
viVietnamese
Giả nghịch đảo Moore–Penrose
zhChinese
穆尔-彭罗斯广义逆

Popularity rank trends

Best Rank English:
#27879
10.2020
Global:
#54074
10.2020

AI rank trends

Best Rank English:
#17269
09.2005
Global:
#37806
12.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Moore–Penrose inverse from Wikipedia articles about Generalized inverse, Singular value decomposition, Roger Penrose, Invertible matrix and Laplacian matrix. Whereas reading the article about Moore–Penrose inverse people most often go to Wikipedia articles on Roger Penrose, Singular value decomposition, Hermitian matrix, Weak inverse and Eliakim Hastings Moore.

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