Penalty method

en

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Penalty method

Quality:

Penalty method - type of algorithm for constrained optimization. Article “Penalty method” in English Wikipedia has 20.8 points for quality (as of July 1, 2025). The article contains 6 references and 5 sections.

This article has the best quality in Ukrainian Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Penalty method”, its content was written by 33 registered users of English Wikipedia and edited by 69 registered Wikipedia users in all languages.

The article is cited 118 times in English Wikipedia and cited 334 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #70255 in February 2011
  • Global: #128404 in February 2011

The highest popularity rank from 2008:

  • Local (English): #262651 in April 2015
  • Global: #365651 in April 2015

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
1Ukrainian (uk)
Метод штрафів
22.4541
2Russian (ru)
Метод штрафов
21.1982
3English (en)
Penalty method
20.7784
4French (fr)
Pénalisation (optimisation)
18.9782
5Japanese (ja)
ペナルティ関数法
18.3607
6Chinese (zh)
懲罰函數法
15.5207
7Persian (fa)
روش پنالتی
4.2556
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 "Penalty method" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Penalty method
460 373
2Russian (ru)
Метод штрафов
48 136
3French (fr)
Pénalisation (optimisation)
34 989
4Chinese (zh)
懲罰函數法
27 702
5Persian (fa)
روش پنالتی
16 168
6Ukrainian (uk)
Метод штрафів
1 127
7Japanese (ja)
ペナルティ関数法
511
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 "Penalty method" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Penalty method
1 594
2Chinese (zh)
懲罰函數法
143
3Japanese (ja)
ペナルティ関数法
122
4Russian (ru)
Метод штрафов
110
5French (fr)
Pénalisation (optimisation)
84
6Ukrainian (uk)
Метод штрафів
36
7Persian (fa)
روش پنالتی
16
More...

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

The highest AI

Language versions of the article "Penalty method" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Penalty method
33
2Russian (ru)
Метод штрафов
13
3French (fr)
Pénalisation (optimisation)
10
4Persian (fa)
روش پنالتی
6
5Chinese (zh)
懲罰函數法
5
6Japanese (ja)
ペナルティ関数法
1
7Ukrainian (uk)
Метод штрафів
1
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 "Penalty method" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Penalty method
0
2Persian (fa)
روش پنالتی
0
3French (fr)
Pénalisation (optimisation)
0
4Japanese (ja)
ペナルティ関数法
0
5Russian (ru)
Метод штрафов
0
6Ukrainian (uk)
Метод штрафів
0
7Chinese (zh)
懲罰函數法
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 "Penalty method" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Penalty method
118
2Japanese (ja)
ペナルティ関数法
105
3French (fr)
Pénalisation (optimisation)
45
4Persian (fa)
روش پنالتی
40
5Ukrainian (uk)
Метод штрафів
15
6Russian (ru)
Метод штрафов
9
7Chinese (zh)
懲罰函數法
2
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
Penalty method
faPersian
روش پنالتی
frFrench
Pénalisation (optimisation)
jaJapanese
ペナルティ関数法
ruRussian
Метод штрафов
ukUkrainian
Метод штрафів
zhChinese
懲罰函數法

Popularity rank trends

Best Rank English:
#262651
04.2015
Global:
#365651
04.2015

AI rank trends

Best Rank English:
#70255
02.2011
Global:
#128404
02.2011

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Penalty method from Wikipedia articles about Augmented Lagrangian method, Barrier function, Constrained optimization, Interior point method and Lagrangian relaxation. Whereas reading the article about Penalty method people most often go to Wikipedia articles on Augmented Lagrangian method, Barrier function, Constrained optimization, Sequential quadratic programming and Interior point method.

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: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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