Circulant matrix

en

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Circulant matrix

Quality:

Circulant matrix - matrix in which each row is rotated one position to the right from the previous row. Article "Circulant matrix" in English Wikipedia has 29.6 points for quality (as of July 1, 2025). The article contains 5 references and 14 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 "Circulant matrix" was edited by 2 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article "Circulant matrix", its content was written by 86 registered users of English Wikipedia and edited by 192 registered Wikipedia users in all languages.

The article is cited 180 times in English Wikipedia and cited 500 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #31963 in April 2005
  • Global: #78465 in January 2004

The highest popularity rank from 2008:

  • Local (English): #188261 in November 2014
  • Global: #242314 in November 2014

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)
Circulant matrix
29.6191
2Greek (el)
Κυκλοτερής πίνακας
29.0937
3Russian (ru)
Циркулянт
23.9972
4Portuguese (pt)
Matriz circulante
23.676
5Catalan (ca)
Matriu circulant
20.011
6Ukrainian (uk)
Циркулянт
19.0996
7French (fr)
Matrice circulante
17.9503
8Chinese (zh)
循环矩阵
11.7114
9German (de)
Zyklische Matrix
9.0944
10Slovenian (sl)
Krožna matrika
8.1146
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 "Circulant matrix" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Circulant matrix
848 046
2French (fr)
Matrice circulante
105 920
3German (de)
Zyklische Matrix
65 977
4Japanese (ja)
巡回行列
65 878
5Chinese (zh)
循环矩阵
45 432
6Russian (ru)
Циркулянт
32 953
7Portuguese (pt)
Matriz circulante
7 970
8Korean (ko)
순환 행렬
5 214
9Swedish (sv)
Cyklisk matris
2 309
10Hungarian (hu)
Ciklikus mátrix
1 924
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 "Circulant matrix" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Circulant matrix
3 587
2French (fr)
Matrice circulante
366
3Japanese (ja)
巡回行列
272
4Chinese (zh)
循环矩阵
170
5Russian (ru)
Циркулянт
164
6German (de)
Zyklische Matrix
163
7Korean (ko)
순환 행렬
52
8Portuguese (pt)
Matriz circulante
26
9Slovenian (sl)
Krožna matrika
12
10Ukrainian (uk)
Циркулянт
11
More...

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

The highest AI

Language versions of the article "Circulant matrix" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Circulant matrix
86
2French (fr)
Matrice circulante
29
3German (de)
Zyklische Matrix
21
4Russian (ru)
Циркулянт
13
5Hungarian (hu)
Ciklikus mátrix
9
6Chinese (zh)
循环矩阵
9
7Japanese (ja)
巡回行列
6
8Swedish (sv)
Cyklisk matris
5
9Ukrainian (uk)
Циркулянт
4
10Greek (el)
Κυκλοτερής πίνακας
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 "Circulant matrix" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Circulant matrix
2
2Catalan (ca)
Matriu circulant
0
3German (de)
Zyklische Matrix
0
4Greek (el)
Κυκλοτερής πίνακας
0
5French (fr)
Matrice circulante
0
6Hungarian (hu)
Ciklikus mátrix
0
7Japanese (ja)
巡回行列
0
8Korean (ko)
순환 행렬
0
9Portuguese (pt)
Matriz circulante
0
10Russian (ru)
Циркулянт
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 "Circulant matrix" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Circulant matrix
180
2Slovenian (sl)
Krožna matrika
111
3French (fr)
Matrice circulante
88
4Portuguese (pt)
Matriz circulante
56
5Korean (ko)
순환 행렬
15
6Japanese (ja)
巡回行列
13
7Russian (ru)
Циркулянт
9
8Chinese (zh)
循环矩阵
9
9Ukrainian (uk)
Циркулянт
8
10German (de)
Zyklische Matrix
7
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
caCatalan
Matriu circulant
deGerman
Zyklische Matrix
elGreek
Κυκλοτερής πίνακας
enEnglish
Circulant matrix
frFrench
Matrice circulante
huHungarian
Ciklikus mátrix
jaJapanese
巡回行列
koKorean
순환 행렬
ptPortuguese
Matriz circulante
ruRussian
Циркулянт
slSlovenian
Krožna matrika
svSwedish
Cyklisk matris
ukUkrainian
Циркулянт
zhChinese
循环矩阵

Popularity rank trends

Best Rank English:
#188261
11.2014
Global:
#242314
11.2014

AI rank trends

Best Rank English:
#31963
04.2005
Global:
#78465
01.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Circulant matrix from Wikipedia articles about Toeplitz matrix, Commuting matrices, Circular convolution, Convolution and Circulant graph. Whereas reading the article about Circulant matrix people most often go to Wikipedia articles on Toeplitz matrix, Discrete Fourier transform, Companion matrix, Circulant graph and Circular convolution.

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

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