Hessenberg matrix

Hessenberg matrix - square matrix that has zero entries below the first subdiagonal or has zero entries above the first superdiagonal. Article “Hessenberg matrix” in English Wikipedia has 30.8 points for quality (as of July 1, 2025). The article contains 7 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 (English) language version.

Since the creation of article “Hessenberg matrix”, its content was written by 37 registered users of English Wikipedia and edited by 160 registered Wikipedia users in all languages.

The article is cited 165 times in English Wikipedia and cited 547 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #77323 in April 2009
• Global: #91812 in May 2011

The highest popularity rank from 2008:

• Local (English): #303968 in February 2015
• Global: #394938 in February 2015

There are 20 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.

#	Language	Quality grade	Quality score
1	English (en) Hessenberg matrix		30.8221
2	Greek (el) Πίνακας Χάιζενμπεργκ		28.0591
3	Ukrainian (uk) Матриця Гессенберга		24.5647
4	Dutch (nl) Hessenbergmatrix		17.0405
5	Chinese (zh) 黑森贝格矩阵		14.7069
6	Arabic (ar) مصفوفة هيسنبرغ		14.5917
7	German (de) Hessenbergmatrix		13.1729
8	Lithuanian (lt) Hesenbergo matrica		12.4343
9	French (fr) Matrice de Hessenberg		12.2745
10	Korean (ko) 헤센베르크 행렬		11.4381

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The following table shows the most popular language versions of the article.

The most popular language versions of the article "Hessenberg matrix" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Hessenberg matrix		362 645
2	German (de) Hessenbergmatrix		57 498
3	French (fr) Matrice de Hessenberg		30 097
4	Spanish (es) Matriz de Hessenberg		25 106
5	Russian (ru) Матрица Хессенберга		21 298
6	Italian (it) Matrice di Hessenberg		20 519
7	Chinese (zh) 黑森贝格矩阵		16 733
8	Dutch (nl) Hessenbergmatrix		4 540
9	Lithuanian (lt) Hesenbergo matrica		4 327
10	Korean (ko) 헤센베르크 행렬		3 571

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

The most popular language versions of the article "Hessenberg matrix" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Hessenberg matrix		1 587
2	German (de) Hessenbergmatrix		323
3	Russian (ru) Матрица Хессенберга		125
4	French (fr) Matrice de Hessenberg		98
5	Spanish (es) Matriz de Hessenberg		91
6	Italian (it) Matrice di Hessenberg		83
7	Chinese (zh) 黑森贝格矩阵		68
8	Portuguese (pt) Matriz de Hessenberg		51
9	Korean (ko) 헤센베르크 행렬		33
10	Dutch (nl) Hessenbergmatrix		16

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

Language versions of the article "Hessenberg matrix" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Hessenberg matrix		37
2	German (de) Hessenbergmatrix		23
3	French (fr) Matrice de Hessenberg		22
4	Italian (it) Matrice di Hessenberg		15
5	Russian (ru) Матрица Хессенберга		10
6	Lithuanian (lt) Hesenbergo matrica		7
7	Chinese (zh) 黑森贝格矩阵		7
8	Korean (ko) 헤센베르크 행렬		5
9	Arabic (ar) مصفوفة هيسنبرغ		4
10	Esperanto (eo) Matrico de Hessenberg		4

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

Language versions of the article "Hessenberg matrix" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Arabic (ar) مصفوفة هيسنبرغ		0
2	Catalan (ca) Matriu de Hessenberg		0
3	German (de) Hessenbergmatrix		0
4	Greek (el) Πίνακας Χάιζενμπεργκ		0
5	English (en) Hessenberg matrix		0
6	Esperanto (eo) Matrico de Hessenberg		0
7	Spanish (es) Matriz de Hessenberg		0
8	Basque (eu) Hessenberg matrize		0
9	French (fr) Matrice de Hessenberg		0
10	Hebrew (he) מטריצת הסנברג		0

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The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Hessenberg matrix" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Hessenberg matrix		165
2	French (fr) Matrice de Hessenberg		130
3	Slovenian (sl) Hessenbergova matrika		110
4	Portuguese (pt) Matriz de Hessenberg		58
5	German (de) Hessenbergmatrix		16
6	Korean (ko) 헤센베르크 행렬		15
7	Spanish (es) Matriz de Hessenberg		11
8	Chinese (zh) 黑森贝格矩阵		9
9	Italian (it) Matrice di Hessenberg		8
10	Ukrainian (uk) Матриця Гессенберга		6

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#	Language	Value
ar	Arabic مصفوفة هيسنبرغ
ca	Catalan Matriu de Hessenberg
de	German Hessenbergmatrix
el	Greek Πίνακας Χάιζενμπεργκ
en	English Hessenberg matrix
eo	Esperanto Matrico de Hessenberg
es	Spanish Matriz de Hessenberg
eu	Basque Hessenberg matrize
fr	French Matrice de Hessenberg
he	Hebrew מטריצת הסנברג
it	Italian Matrice di Hessenberg
ko	Korean 헤센베르크 행렬
lt	Lithuanian Hesenbergo matrica
nl	Dutch Hessenbergmatrix
pt	Portuguese Matriz de Hessenberg
ru	Russian Матрица Хессенберга
sl	Slovenian Hessenbergova matrika
sv	Swedish Hessenbergmatris
uk	Ukrainian Матриця Гессенберга
zh	Chinese 黑森贝格矩阵

Best Rank

English: #303968 02.2015

Global: #394938 02.2015

Best Rank

English: #77323 04.2009

Global: #91812 05.2011

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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