Broyden–Fletcher–Goldfarb–Shanno algorithm

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Broyden–Fletcher–Goldfarb–Shanno algorithm

Quality:

Broyden–Fletcher–Goldfarb–Shanno algorithm - optimization method. Article "Broyden–Fletcher–Goldfarb–Shanno algorithm" in English Wikipedia has 28.6 points for quality (as of July 1, 2025). The article contains 16 references and 7 sections. The article also contains quality flaw template, which reduce quality score.

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–Fletcher–Goldfarb–Shanno algorithm", its content was written by 89 registered users of English Wikipedia and edited by 149 registered Wikipedia users in all languages.

The article is cited 147 times in English Wikipedia and cited 442 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #24141 in February 2019
  • Global: #95036 in May 2005

The highest popularity rank from 2008:

  • Local (English): #97853 in April 2015
  • Global: #156299 in April 2015

There are 8 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–Fletcher–Goldfarb–Shanno algorithm
28.5824
2Japanese (ja)
BFGS法
16.3397
3Chinese (zh)
BFGS算法
9.4894
4Persian (fa)
روش بی‌اف‌جی‌اس
7.4548
5French (fr)
Méthode de Broyden-Fletcher-Goldfarb-Shanno
6.1644
6Ukrainian (uk)
Алгоритм Бройдена — Флетчера — Гольдфарба — Шанно
4.6814
7Russian (ru)
Алгоритм Бройдена — Флетчера — Гольдфарба — Шанно
3.7905
8German (de)
BFGS-Verfahren
3.0624
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–Fletcher–Goldfarb–Shanno algorithm" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Broyden–Fletcher–Goldfarb–Shanno algorithm
1 515 687
2French (fr)
Méthode de Broyden-Fletcher-Goldfarb-Shanno
86 407
3Russian (ru)
Алгоритм Бройдена — Флетчера — Гольдфарба — Шанно
82 593
4German (de)
BFGS-Verfahren
65 273
5Japanese (ja)
BFGS法
46 117
6Chinese (zh)
BFGS算法
20 459
7Persian (fa)
روش بی‌اف‌جی‌اس
7 653
8Ukrainian (uk)
Алгоритм Бройдена — Флетчера — Гольдфарба — Шанно
2 993
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–Fletcher–Goldfarb–Shanno algorithm" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Broyden–Fletcher–Goldfarb–Shanno algorithm
5 634
2French (fr)
Méthode de Broyden-Fletcher-Goldfarb-Shanno
433
3Russian (ru)
Алгоритм Бройдена — Флетчера — Гольдфарба — Шанно
396
4Japanese (ja)
BFGS法
368
5Chinese (zh)
BFGS算法
238
6German (de)
BFGS-Verfahren
235
7Ukrainian (uk)
Алгоритм Бройдена — Флетчера — Гольдфарба — Шанно
34
8Persian (fa)
روش بی‌اف‌جی‌اس
11
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–Fletcher–Goldfarb–Shanno algorithm" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Broyden–Fletcher–Goldfarb–Shanno algorithm
89
2French (fr)
Méthode de Broyden-Fletcher-Goldfarb-Shanno
21
3German (de)
BFGS-Verfahren
9
4Russian (ru)
Алгоритм Бройдена — Флетчера — Гольдфарба — Шанно
8
5Chinese (zh)
BFGS算法
7
6Japanese (ja)
BFGS法
6
7Ukrainian (uk)
Алгоритм Бройдена — Флетчера — Гольдфарба — Шанно
6
8Persian (fa)
روش بی‌اف‌جی‌اس
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–Fletcher–Goldfarb–Shanno algorithm" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
BFGS-Verfahren
0
2English (en)
Broyden–Fletcher–Goldfarb–Shanno algorithm
0
3Persian (fa)
روش بی‌اف‌جی‌اس
0
4French (fr)
Méthode de Broyden-Fletcher-Goldfarb-Shanno
0
5Japanese (ja)
BFGS法
0
6Russian (ru)
Алгоритм Бройдена — Флетчера — Гольдфарба — Шанно
0
7Ukrainian (uk)
Алгоритм Бройдена — Флетчера — Гольдфарба — Шанно
0
8Chinese (zh)
BFGS算法
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–Fletcher–Goldfarb–Shanno algorithm" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Broyden–Fletcher–Goldfarb–Shanno algorithm
147
2Japanese (ja)
BFGS法
109
3Russian (ru)
Алгоритм Бройдена — Флетчера — Гольдфарба — Шанно
52
4French (fr)
Méthode de Broyden-Fletcher-Goldfarb-Shanno
50
5Persian (fa)
روش بی‌اف‌جی‌اس
38
6Ukrainian (uk)
Алгоритм Бройдена — Флетчера — Гольдфарба — Шанно
37
7German (de)
BFGS-Verfahren
6
8Chinese (zh)
BFGS算法
3
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
deGerman
BFGS-Verfahren
enEnglish
Broyden–Fletcher–Goldfarb–Shanno algorithm
faPersian
روش بی‌اف‌جی‌اس
frFrench
Méthode de Broyden-Fletcher-Goldfarb-Shanno
jaJapanese
BFGS法
ruRussian
Алгоритм Бройдена — Флетчера — Гольдфарба — Шанно
ukUkrainian
Алгоритм Бройдена — Флетчера — Гольдфарба — Шанно
zhChinese
BFGS算法

Popularity rank trends

Best Rank English:
#97853
04.2015
Global:
#156299
04.2015

AI rank trends

Best Rank English:
#24141
02.2019
Global:
#95036
05.2005

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Broyden–Fletcher–Goldfarb–Shanno algorithm from Wikipedia articles about Limited-memory BFGS, Quasi-Newton method, Hessian matrix, Gradient descent and Broydens method. Whereas reading the article about Broyden–Fletcher–Goldfarb–Shanno algorithm people most often go to Wikipedia articles on Limited-memory BFGS, Wolfe conditions, Hessian matrix, Quasi-Newton 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