Companion matrix

en

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Companion matrix

Quality:

Companion matrix - matrix with a specific relation to its characteristic polynomial p. Article “Companion matrix” in English Wikipedia has 18 points for quality (as of July 1, 2025). The article contains 2 references and 8 sections.

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

Since the creation of article “Companion matrix”, its content was written by 43 registered users of English Wikipedia and edited by 163 registered Wikipedia users in all languages.

The article is cited 169 times in English Wikipedia and cited 423 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #87411 in March 2004
  • Global: #93355 in December 2014

The highest popularity rank from 2008:

  • Local (English): #289630 in November 2023
  • Global: #315452 in December 2008

There are 13 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
1Greek (el)
Συνοδός πίνακας
20.9256
2French (fr)
Matrice compagnon
20.5164
3English (en)
Companion matrix
17.9609
4German (de)
Begleitmatrix
17.9085
5Catalan (ca)
Matriu acompanyant
13.4232
6Ukrainian (uk)
Супутня матриця
10.704
7Czech (cs)
Doprovodná matice
10.2444
8Spanish (es)
Matriz compañera
10.1617
9Japanese (ja)
同伴行列
9.9404
10Russian (ru)
Сопровождающая матрица
4.7326
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 "Companion matrix" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Companion matrix
424 533
2French (fr)
Matrice compagnon
144 476
3German (de)
Begleitmatrix
61 252
4Italian (it)
Matrice compagna
31 281
5Japanese (ja)
同伴行列
25 325
6Russian (ru)
Сопровождающая матрица
21 157
7Spanish (es)
Matriz compañera
14 343
8Hebrew (he)
מטריצה מלווה
9 247
9Slovenian (sl)
Spremljevalna matrika
1 426
10Ukrainian (uk)
Супутня матриця
1 027
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 "Companion matrix" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Companion matrix
1 983
2French (fr)
Matrice compagnon
572
3German (de)
Begleitmatrix
319
4Japanese (ja)
同伴行列
160
5Italian (it)
Matrice compagna
119
6Russian (ru)
Сопровождающая матрица
69
7Spanish (es)
Matriz compañera
67
8Hebrew (he)
מטריצה מלווה
15
9Slovenian (sl)
Spremljevalna matrika
9
10Czech (cs)
Doprovodná matice
8
More...

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

The highest AI

Language versions of the article "Companion matrix" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Companion matrix
43
2French (fr)
Matrice compagnon
33
3German (de)
Begleitmatrix
23
4Italian (it)
Matrice compagna
20
5Russian (ru)
Сопровождающая матрица
12
6Hebrew (he)
מטריצה מלווה
8
7Spanish (es)
Matriz compañera
7
8Japanese (ja)
同伴行列
6
9Ukrainian (uk)
Супутня матриця
3
10Catalan (ca)
Matriu acompanyant
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 "Companion matrix" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Matriu acompanyant
0
2Czech (cs)
Doprovodná matice
0
3German (de)
Begleitmatrix
0
4Greek (el)
Συνοδός πίνακας
0
5English (en)
Companion matrix
0
6Spanish (es)
Matriz compañera
0
7French (fr)
Matrice compagnon
0
8Hebrew (he)
מטריצה מלווה
0
9Italian (it)
Matrice compagna
0
10Japanese (ja)
同伴行列
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 "Companion matrix" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Companion matrix
169
2Slovenian (sl)
Spremljevalna matrika
110
3French (fr)
Matrice compagnon
95
4Japanese (ja)
同伴行列
10
5German (de)
Begleitmatrix
9
6Spanish (es)
Matriz compañera
7
7Catalan (ca)
Matriu acompanyant
5
8Russian (ru)
Сопровождающая матрица
5
9Hebrew (he)
מטריצה מלווה
4
10Italian (it)
Matrice compagna
3
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 acompanyant
csCzech
Doprovodná matice
deGerman
Begleitmatrix
elGreek
Συνοδός πίνακας
enEnglish
Companion matrix
esSpanish
Matriz compañera
frFrench
Matrice compagnon
heHebrew
מטריצה מלווה
itItalian
Matrice compagna
jaJapanese
同伴行列
ruRussian
Сопровождающая матрица
slSlovenian
Spremljevalna matrika
ukUkrainian
Супутня матриця

Popularity rank trends

Best Rank English:
#289630
11.2023
Global:
#315452
12.2008

AI rank trends

Best Rank English:
#87411
03.2004
Global:
#93355
12.2014

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Companion matrix from Wikipedia articles about Circulant matrix, Frobenius normal form, Polynomial root-finding algorithms, Vandermonde matrix and Cayley–Hamilton theorem. Whereas reading the article about Companion matrix people most often go to Wikipedia articles on Vandermonde matrix, Characteristic polynomial, Frobenius normal form, Monic polynomial and Minimal polynomial.

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