Hessian matrix

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Hessian matrix

Quality:

Hessian matrix - (Mathematical) matrix of second derivatives. Article "Hessian matrix" in English Wikipedia has 35.3 points for quality (as of July 1, 2025). The article contains 12 references and 16 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 "Hessian matrix" was edited by 4 authors in English Wikipedia and written by 5 authors in all languages.

Since the creation of article "Hessian matrix", its content was written by 144 registered users of English Wikipedia and edited by 727 registered Wikipedia users in all languages.

The article is cited 579 times in English Wikipedia and cited 2656 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #19251 in November 2004
  • Global: #13277 in November 2004

The highest popularity rank from 2008:

  • Local (English): #24785 in October 2019
  • Global: #26802 in January 2015

There are 30 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)
Hessian matrix
35.2914
2Romanian (ro)
Matrice hessiană
23.5564
3Hungarian (hu)
Hesse-mátrix
23.3012
4Serbian (sr)
Хесијан матрица
22.9041
5Portuguese (pt)
Hessiano
21.6906
6Chinese (zh)
黑塞矩陣
20.8268
7French (fr)
Matrice hessienne
20.6316
8Indonesian (id)
Matriks Hesse
18.9518
9German (de)
Hesse-Matrix
18.0505
10Norwegian (no)
Hessematrisen
17.0041
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 "Hessian matrix" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Hessian matrix
5 040 628
2German (de)
Hesse-Matrix
1 224 537
3Spanish (es)
Matriz hessiana
761 240
4French (fr)
Matrice hessienne
562 649
5Italian (it)
Matrice hessiana
474 000
6Chinese (zh)
黑塞矩陣
413 147
7Japanese (ja)
ヘッセ行列
384 559
8Russian (ru)
Гессиан функции
348 204
9Polish (pl)
Macierz Hessego
207 773
10Portuguese (pt)
Hessiano
194 623
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 "Hessian matrix" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Hessian matrix
17 342
2German (de)
Hesse-Matrix
3 555
3Russian (ru)
Гессиан функции
1 972
4French (fr)
Matrice hessienne
1 942
5Spanish (es)
Matriz hessiana
1 700
6Chinese (zh)
黑塞矩陣
1 558
7Japanese (ja)
ヘッセ行列
1 210
8Polish (pl)
Macierz Hessego
1 167
9Italian (it)
Matrice hessiana
935
10Portuguese (pt)
Hessiano
460
More...

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

The highest AI

Language versions of the article "Hessian matrix" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Hessian matrix
144
2German (de)
Hesse-Matrix
77
3Italian (it)
Matrice hessiana
59
4French (fr)
Matrice hessienne
45
5Spanish (es)
Matriz hessiana
44
6Russian (ru)
Гессиан функции
38
7Dutch (nl)
Hessiaan
33
8Chinese (zh)
黑塞矩陣
33
9Japanese (ja)
ヘッセ行列
26
10Hungarian (hu)
Hesse-mátrix
22
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 "Hessian matrix" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Hessian matrix
4
2Persian (fa)
ماتریس هسین
1
3Arabic (ar)
مصفوفة هيسية
0
4Catalan (ca)
Matriu hessiana
0
5Czech (cs)
Hessova matice
0
6German (de)
Hesse-Matrix
0
7Esperanto (eo)
Matrico de Hesse
0
8Spanish (es)
Matriz hessiana
0
9Finnish (fi)
Hessen matriisi
0
10French (fr)
Matrice hessienne
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 "Hessian matrix" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Hessian matrix
579
2Japanese (ja)
ヘッセ行列
212
3Persian (fa)
ماتریس هسین
194
4Korean (ko)
헤세 행렬
165
5Italian (it)
Matrice hessiana
163
6Arabic (ar)
مصفوفة هيسية
160
7French (fr)
Matrice hessienne
147
8Slovenian (sl)
Hessova matrika
141
9Chinese (zh)
黑塞矩陣
138
10Ukrainian (uk)
Матриця Гессе
132
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
مصفوفة هيسية
caCatalan
Matriu hessiana
csCzech
Hessova matice
deGerman
Hesse-Matrix
enEnglish
Hessian matrix
eoEsperanto
Matrico de Hesse
esSpanish
Matriz hessiana
faPersian
ماتریس هسین
fiFinnish
Hessen matriisi
frFrench
Matrice hessienne
heHebrew
מטריצת הסיאן
huHungarian
Hesse-mátrix
idIndonesian
Matriks Hesse
itItalian
Matrice hessiana
jaJapanese
ヘッセ行列
koKorean
헤세 행렬
nlDutch
Hessiaan
nnNorwegian (Nynorsk)
Hesse-determinanten
noNorwegian
Hessematrisen
plPolish
Macierz Hessego
ptPortuguese
Hessiano
roRomanian
Matrice hessiană
ruRussian
Гессиан функции
slSlovenian
Hessova matrika
srSerbian
Хесијан матрица
svSwedish
Hessematris
trTurkish
Hesse matrisi
ukUkrainian
Матриця Гессе
viVietnamese
Ma trận Hesse
zhChinese
黑塞矩陣

Popularity rank trends

Best Rank English:
#24785
10.2019
Global:
#26802
01.2015

AI rank trends

Best Rank English:
#19251
11.2004
Global:
#13277
11.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Hessian matrix from Wikipedia articles about Jacobian matrix, Lagrange multiplier, Hessian, Saddle point and Second partial derivative test. Whereas reading the article about Hessian matrix people most often go to Wikipedia articles on Jacobian matrix, Otto Hesse, Definite matrix, Del squared and Second partial derivative test.

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