Broyden's method

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Broyden's method

Quality:

Broyden's method - Quasi-Newton root-finding method for the multivariable case. Article "Broyden's method" in English Wikipedia has 32.2 points for quality (as of July 1, 2025). The article contains 20 references and 8 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

Since the creation of article "Broyden's method", its content was written by 39 registered users of English Wikipedia and edited by 79 registered Wikipedia users in all languages.

The article is cited 33 times in English Wikipedia and cited 145 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #40022 in February 2016
  • Global: #14106 in February 2003

The highest popularity rank from 2008:

  • Local (English): #356188 in October 2010
  • Global: #545855 in October 2010

There are 7 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)
Broyden's method
32.2053
2Hebrew (he)
שיטת ברוידן
31.1299
3Ukrainian (uk)
Метод Бройдена
30.9291
4Japanese (ja)
ブロイデン法
16.2535
5Spanish (es)
Método de Broyden
13.3419
6French (fr)
Méthode de Broyden
9.9121
7Polish (pl)
Metoda Broydena
9.2347
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 "Broyden's method" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Broyden's method
331 678
2Spanish (es)
Método de Broyden
22 528
3Japanese (ja)
ブロイデン法
15 310
4Polish (pl)
Metoda Broydena
5 989
5French (fr)
Méthode de Broyden
392
6Hebrew (he)
שיטת ברוידן
379
7Ukrainian (uk)
Метод Бройдена
319
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 "Broyden's method" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Broyden's method
1 166
2Japanese (ja)
ブロイデン法
66
3French (fr)
Méthode de Broyden
43
4Spanish (es)
Método de Broyden
42
5Ukrainian (uk)
Метод Бройдена
14
6Polish (pl)
Metoda Broydena
11
7Hebrew (he)
שיטת ברוידן
4
More...

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

The highest AI

Language versions of the article "Broyden's method" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Broyden's method
39
2Japanese (ja)
ブロイデン法
11
3Spanish (es)
Método de Broyden
9
4Polish (pl)
Metoda Broydena
8
5French (fr)
Méthode de Broyden
5
6Hebrew (he)
שיטת ברוידן
4
7Ukrainian (uk)
Метод Бройдена
3
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 "Broyden's method" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Broyden's method
0
2Spanish (es)
Método de Broyden
0
3French (fr)
Méthode de Broyden
0
4Hebrew (he)
שיטת ברוידן
0
5Japanese (ja)
ブロイデン法
0
6Polish (pl)
Metoda Broydena
0
7Ukrainian (uk)
Метод Бройдена
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 "Broyden's method" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Japanese (ja)
ブロイデン法
105
2English (en)
Broyden's method
33
3Spanish (es)
Método de Broyden
2
4French (fr)
Méthode de Broyden
2
5Hebrew (he)
שיטת ברוידן
1
6Polish (pl)
Metoda Broydena
1
7Ukrainian (uk)
Метод Бройдена
1
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
enEnglish
Broyden's method
esSpanish
Método de Broyden
frFrench
Méthode de Broyden
heHebrew
שיטת ברוידן
jaJapanese
ブロイデン法
plPolish
Metoda Broydena
ukUkrainian
Метод Бройдена

Popularity rank trends

Best Rank English:
#356188
10.2010
Global:
#545855
10.2010

AI rank trends

Best Rank English:
#40022
02.2016
Global:
#14106
02.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Broyden's method from Wikipedia articles about Secant method, Quasi-Newton method, Root-finding algorithm, Anderson acceleration and Charles George Broyden. Whereas reading the article about Broyden's method people most often go to Wikipedia articles on Quasi-Newton method, Broyden–Fletcher–Goldfarb–Shanno algorithm, Newtons method, Secant method and Davidon–Fletcher–Powell formula.

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