Eigenvalues and eigenvectors

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Eigenvalues and eigenvectors

Quality:

Eigenvectors and eigenvalues - vectors that map to their scalar multiples, and the associated scalars. Article "Eigenvalues and eigenvectors" in English Wikipedia has 74.8 points for quality (as of July 1, 2025). The article contains 77 references and 46 sections. The article also contains quality flaw template, which reduce quality score.

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

Achievements in all the time:
English Wikipedia:
The 6421st most popular in English Wikipedia.
Global Wikipedia:
The 7869th most popular in all topics.

In June 2025 the article "Eigenvalues and eigenvectors" was edited by 2 authors in English Wikipedia and written by 10 authors in all languages.

Since the creation of article "Eigenvalues and eigenvectors", its content was written by 760 registered users of English Wikipedia and edited by 2271 registered Wikipedia users in all languages.

The article is cited 1803 times in English Wikipedia and cited 8512 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #249 in March 2001
  • Global: #252 in March 2001

The highest popularity rank from 2008:

  • Local (English): #2388 in November 2014
  • Global: #4118 in January 2015

There are 43 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
1Indonesian (id)
Nilai dan vektor eigen
76.2418
2English (en)
Eigenvalues and eigenvectors
74.8147
3Vietnamese (vi)
Giá trị riêng và vectơ riêng
73.5734
4Greek (el)
Ιδιοτιμές και ιδιοδιανύσματα
73.1853
5Catalan (ca)
Valor propi, vector propi i espai propi
66.9648
6French (fr)
Valeur propre, vecteur propre et espace propre
60.7486
7Chinese (zh)
特征值和特征向量
56.3641
8Portuguese (pt)
Autovalores e autovetores
52.8773
9Basque (eu)
Autobalioak eta autobektoreak
50.9479
10Croatian (hr)
Svojstvene vrijednosti i svojstveni vektori
50.8145
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 "Eigenvalues and eigenvectors" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Eigenvalues and eigenvectors
17 845 598
2German (de)
Eigenwerte und Eigenvektoren
3 412 226
3Spanish (es)
Vector, valor y espacio propios
1 848 085
4Chinese (zh)
特征值和特征向量
1 597 347
5Italian (it)
Autovettore e autovalore
1 053 253
6Japanese (ja)
固有値と固有ベクトル
1 049 483
7French (fr)
Valeur propre, vecteur propre et espace propre
755 785
8Hebrew (he)
ערך עצמי
505 134
9Polish (pl)
Wektory i wartości własne
490 177
10Portuguese (pt)
Autovalores e autovetores
410 792
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 "Eigenvalues and eigenvectors" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Eigenvalues and eigenvectors
40 305
2German (de)
Eigenwerte und Eigenvektoren
7 801
3Chinese (zh)
特征值和特征向量
4 966
4Japanese (ja)
固有値と固有ベクトル
2 252
5Spanish (es)
Vector, valor y espacio propios
2 141
6French (fr)
Valeur propre, vecteur propre et espace propre
1 625
7Italian (it)
Autovettore e autovalore
1 576
8Polish (pl)
Wektory i wartości własne
1 135
9Hebrew (he)
ערך עצמי
1 105
10Korean (ko)
고윳값과 고유 벡터
1 051
More...

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

The highest AI

Language versions of the article "Eigenvalues and eigenvectors" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Eigenvalues and eigenvectors
760
2German (de)
Eigenwerte und Eigenvektoren
266
3French (fr)
Valeur propre, vecteur propre et espace propre
148
4Italian (it)
Autovettore e autovalore
135
5Chinese (zh)
特征值和特征向量
96
6Spanish (es)
Vector, valor y espacio propios
87
7Hebrew (he)
ערך עצמי
73
8Japanese (ja)
固有値と固有ベクトル
63
9Polish (pl)
Wektory i wartości własne
49
10Hungarian (hu)
Sajátvektor és sajátérték
48
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 "Eigenvalues and eigenvectors" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Eigenwerte und Eigenvektoren
4
2English (en)
Eigenvalues and eigenvectors
2
3Greek (el)
Ιδιοτιμές και ιδιοδιανύσματα
1
4French (fr)
Valeur propre, vecteur propre et espace propre
1
5Hebrew (he)
ערך עצמי
1
6Chinese (zh)
特征值和特征向量
1
7Arabic (ar)
قيم ذاتية ومتجهات ذاتية
0
8Belarusian (be)
Уласныя вектары і ўласныя значэнні
0
9Bulgarian (bg)
Собствени стойности и собствени вектори
0
10Catalan (ca)
Valor propi, vector propi i espai propi
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 "Eigenvalues and eigenvectors" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Eigenvalues and eigenvectors
1 803
2German (de)
Eigenwerte und Eigenvektoren
703
3Japanese (ja)
固有値と固有ベクトル
631
4Chinese (zh)
特征值和特征向量
539
5Italian (it)
Autovettore e autovalore
433
6Spanish (es)
Vector, valor y espacio propios
418
7Portuguese (pt)
Autovalores e autovetores
318
8Korean (ko)
고윳값과 고유 벡터
306
9Slovenian (sl)
Lastna vrednost
300
10Catalan (ca)
Valor propi, vector propi i espai propi
286
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
arArabic
قيم ذاتية ومتجهات ذاتية
beBelarusian
Уласныя вектары і ўласныя значэнні
bgBulgarian
Собствени стойности и собствени вектори
caCatalan
Valor propi, vector propi i espai propi
csCzech
Vlastní vektory a vlastní čísla
daDanish
Egenværdi, egenvektor og egenrum
deGerman
Eigenwerte und Eigenvektoren
elGreek
Ιδιοτιμές και ιδιοδιανύσματα
enEnglish
Eigenvalues and eigenvectors
eoEsperanto
Ejgeno kaj ejgenvektoro
esSpanish
Vector, valor y espacio propios
etEstonian
Omaväärtus ja omavektor
euBasque
Autobalioak eta autobektoreak
faPersian
مقدارویژه و بردارویژه
fiFinnish
Ominaisarvo, ominaisvektori ja ominaisavaruus
frFrench
Valeur propre, vecteur propre et espace propre
glGalician
Valor propio, vector propio e espazo propio
heHebrew
ערך עצמי
hiHindi
अभिलक्षणिक मान तथा अभिलक्षणिक सदिश
hrCroatian
Svojstvene vrijednosti i svojstveni vektori
huHungarian
Sajátvektor és sajátérték
idIndonesian
Nilai dan vektor eigen
itItalian
Autovettore e autovalore
jaJapanese
固有値と固有ベクトル
koKorean
고윳값과 고유 벡터
ltLithuanian
Tikrinių verčių lygtis
nnNorwegian (Nynorsk)
Eigenverdi, eigenvektor og eigerom
plPolish
Wektory i wartości własne
ptPortuguese
Autovalores e autovetores
roRomanian
Vectori și valori proprii
shSerbo-Croatian
Svojstvene vrijednosti i svojstveni vektori
simpleSimple English
Eigenvalues and eigenvectors
skSlovak
Vlastné vektory a vlastné hodnoty
slSlovenian
Lastna vrednost
srSerbian
Sopstvene vrednosti i sopstveni vektori
svSwedish
Egenvärde, egenvektor och egenrum
taTamil
ஐகென் மதிப்பு
thThai
ค่าลักษณะเฉพาะและเวกเตอร์ลักษณะเฉพาะ
trTurkish
Özdeğerler ve özvektörler
ukUkrainian
Власні вектори та власні значення
urUrdu
ویژہ قدر
viVietnamese
Giá trị riêng và vectơ riêng
zhChinese
特征值和特征向量

Popularity rank trends

Best Rank English:
#2388
11.2014
Global:
#4118
01.2015

AI rank trends

Best Rank English:
#249
03.2001
Global:
#252
03.2001

Local popularity rank history

Global popularity rank history

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Eigenvectors and eigenvalues from Wikipedia articles about Natural frequency, Eigendecomposition of a matrix, Diagonalizable matrix, Principal component analysis and Eigenfunction. Whereas reading the article about Eigenvectors and eigenvalues people most often go to Wikipedia articles on Linear map, Characteristic polynomial, Shear mapping, Determinant and Eigendecomposition of a matrix.

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

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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