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 75.2 points for quality (as of August 1, 2024). The article contains 78 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 6266th most popular in English Wikipedia.
Global Wikipedia:
The 7932nd most popular in all topics.

In July 2024 the article "Eigenvalues and eigenvectors" was edited by 5 authors in English Wikipedia and written by 12 authors in all languages.

Since the creation of article "Eigenvalues and eigenvectors", its content was written by 756 registered users of English Wikipedia and edited by 2146 registered Wikipedia users in all languages.

The article is cited 1775 times in English Wikipedia and cited 7688 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #167 in March 2001
  • Global: #169 in March 2001

The highest popularity rank from 2008:

  • Local (English): #2393 in November 2014
  • Global: #4264 in January 2015

There are 40 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 August 1, 2024 (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
76.3342
2English (en)
Eigenvalues and eigenvectors
75.2277
3Vietnamese (vi)
Giá trị riêng và vectơ riêng
73.8392
4Greek (el)
Ιδιοτιμές και ιδιοδιανύσματα
73.6202
5Catalan (ca)
Valor propi, vector propi i espai propi
67.0322
6French (fr)
Valeur propre, vecteur propre et espace propre
60.7456
7Chinese (zh)
特征值和特征向量
56.4429
8Basque (eu)
Autobalioak eta autobektoreak
51.369
9Portuguese (pt)
Autovalores e autovetores
51.2494
10Croatian (hr)
Svojstvene vrijednosti i svojstveni vektori
51.1627
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
17 216 908
2German (de)
Eigenwerte und Eigenvektoren
3 321 222
3Spanish (es)
Vector, valor y espacio propios
1 821 305
4Chinese (zh)
特征值和特征向量
1 517 199
5Italian (it)
Autovettore e autovalore
1 030 070
6Japanese (ja)
固有値と固有ベクトル
1 024 128
7French (fr)
Valeur propre, vecteur propre et espace propre
730 668
8Polish (pl)
Wektory i wartości własne
477 232
9Portuguese (pt)
Autovalores e autovetores
398 323
10Korean (ko)
고윳값과 고유 벡터
251 850
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in July 2024

The most popular language versions of the article "Eigenvalues and eigenvectors" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Eigenvalues and eigenvectors
48 322
2German (de)
Eigenwerte und Eigenvektoren
11 881
3Chinese (zh)
特征值和特征向量
7 229
4Japanese (ja)
固有値と固有ベクトル
2 863
5Spanish (es)
Vector, valor y espacio propios
2 201
6Italian (it)
Autovettore e autovalore
2 111
7French (fr)
Valeur propre, vecteur propre et espace propre
1 266
8Portuguese (pt)
Autovalores e autovetores
1 141
9Polish (pl)
Wektory i wartości własne
779
10Korean (ko)
고윳값과 고유 벡터
756
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
756
2German (de)
Eigenwerte und Eigenvektoren
258
3French (fr)
Valeur propre, vecteur propre et espace propre
140
4Italian (it)
Autovettore e autovalore
135
5Chinese (zh)
特征值和特征向量
95
6Spanish (es)
Vector, valor y espacio propios
87
7Japanese (ja)
固有値と固有ベクトル
62
8Polish (pl)
Wektory i wartości własne
49
9Hungarian (hu)
Sajátvektor és sajátérték
47
10Finnish (fi)
Ominaisarvo, ominaisvektori ja ominaisavaruus
41
More...

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

The highest AI in July 2024

Language versions of the article "Eigenvalues and eigenvectors" with the highest AI in July 2024
#LanguageAI awardRelative AI
1English (en)
Eigenvalues and eigenvectors
5
2Arabic (ar)
قيم ذاتية ومتجهات ذاتية
1
3German (de)
Eigenwerte und Eigenvektoren
1
4Hindi (hi)
अभिलक्षणिक मान तथा अभिलक्षणिक सदिश
1
5Italian (it)
Autovettore e autovalore
1
6Serbo-Croatian (sh)
Svojstvene vrijednosti i svojstveni vektori
1
7Serbian (sr)
Sopstvene vrednosti i sopstveni vektori
1
8Chinese (zh)
特征值和特征向量
1
9Belarusian (be)
Уласныя вектары і ўласныя значэнні
0
10Bulgarian (bg)
Собствени стойности и собствени вектори
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
1 775
2German (de)
Eigenwerte und Eigenvektoren
694
3Japanese (ja)
固有値と固有ベクトル
626
4Chinese (zh)
特征值和特征向量
542
5Italian (it)
Autovettore e autovalore
425
6Spanish (es)
Vector, valor y espacio propios
411
7Portuguese (pt)
Autovalores e autovetores
318
8Korean (ko)
고윳값과 고유 벡터
298
9Ukrainian (uk)
Власні вектори та власні значення
273
10Catalan (ca)
Valor propi, vector propi i espai propi
244
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in July 2024:
English:
Global:
Popularity in all years:
English:
Global:
Authors in July 2024:
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
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
slSlovenian
Lastna vrednost
srSerbian
Sopstvene vrednosti i sopstveni vektori
svSwedish
Egenvärde, egenvektor och egenrum
taTamil
ஐகென் மதிப்பு
trTurkish
Özdeğer, özvektör, özuzay
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:
#2393
11.2014
Global:
#4264
01.2015

AI rank trends

Best Rank English:
#167
03.2001
Global:
#169
03.2001

Local popularity rank history

Global popularity rank history

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

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

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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In English Wikipedia the most popular articles on that day were: Superman (2025 film), João Pedro (footballer, born 2001), Untitled Jurassic World film, Aryna Sabalenka, Laura Siegemund, Ozzy Osbourne, Amanda Anisimova, Jeffrey Epstein, Cameron Norrie, Deaths in 2025.

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 August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information