Matrix-Riccati-Gleichung

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Matrix-Riccati-Gleichung

Quality:

Algebraic Riccati equation - type of nonlinear equation that arises in infinite-horizon optimal control problems. Article “Matrix-Riccati-Gleichung” in German Wikipedia has 12.2 points for quality (as of July 1, 2025). The article contains 0 references and 8 sections.

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

Since the creation of article “Matrix-Riccati-Gleichung”, its content was written by 8 registered users of German Wikipedia and edited by 49 registered Wikipedia users in all languages.

The article is cited 7 times in German Wikipedia and cited 46 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #5898 in January 2018
  • Global: #125044 in January 2018

The highest popularity rank from 2008:

  • Local (German): #287619 in July 2019
  • Global: #393040 in November 2016

There are 6 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
1Greek (el)
Αλγεβρική εξίσωση Ρικάτι
17.7815
2Chinese (zh)
代數Riccati方程
14.8112
3English (en)
Algebraic Riccati equation
14.4971
4German (de)
Matrix-Riccati-Gleichung
12.2174
5Polish (pl)
Algebraiczne równanie Riccatiego
10.4382
6Russian (ru)
Алгебраическое уравнение Риккати
1.4216
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 "Matrix-Riccati-Gleichung" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Algebraic Riccati equation
524 244
2Chinese (zh)
代數Riccati方程
19 093
3German (de)
Matrix-Riccati-Gleichung
17 136
4Polish (pl)
Algebraiczne równanie Riccatiego
11 242
5Russian (ru)
Алгебраическое уравнение Риккати
3 454
6Greek (el)
Αλγεβρική εξίσωση Ρικάτι
91
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 "Matrix-Riccati-Gleichung" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Algebraic Riccati equation
2 250
2Chinese (zh)
代數Riccati方程
281
3Polish (pl)
Algebraiczne równanie Riccatiego
72
4Russian (ru)
Алгебраическое уравнение Риккати
59
5German (de)
Matrix-Riccati-Gleichung
55
6Greek (el)
Αλγεβρική εξίσωση Ρικάτι
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 "Matrix-Riccati-Gleichung" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Algebraic Riccati equation
32
2German (de)
Matrix-Riccati-Gleichung
8
3Polish (pl)
Algebraiczne równanie Riccatiego
5
4Russian (ru)
Алгебраическое уравнение Риккати
2
5Greek (el)
Αλγεβρική εξίσωση Ρικάτι
1
6Chinese (zh)
代數Riccati方程
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 "Matrix-Riccati-Gleichung" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Matrix-Riccati-Gleichung
0
2Greek (el)
Αλγεβρική εξίσωση Ρικάτι
0
3English (en)
Algebraic Riccati equation
0
4Polish (pl)
Algebraiczne równanie Riccatiego
0
5Russian (ru)
Алгебраическое уравнение Риккати
0
6Chinese (zh)
代數Riccati方程
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 "Matrix-Riccati-Gleichung" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Algebraic Riccati equation
19
2Chinese (zh)
代數Riccati方程
9
3German (de)
Matrix-Riccati-Gleichung
7
4Polish (pl)
Algebraiczne równanie Riccatiego
6
5Russian (ru)
Алгебраическое уравнение Риккати
4
6Greek (el)
Αλγεβρική εξίσωση Ρικάτι
1
More...

Scores

Estimated value for Wikipedia:
German:
Global:
Popularity in June 2025:
German:
Global:
Popularity in all years:
German:
Global:
Authors in June 2025:
German:
Global:
Registered authors in all years:
German:
Global:
Citations:
German:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Matrix-Riccati-Gleichung
elGreek
Αλγεβρική εξίσωση Ρικάτι
enEnglish
Algebraic Riccati equation
plPolish
Algebraiczne równanie Riccatiego
ruRussian
Алгебраическое уравнение Риккати
zhChinese
代數Riccati方程

Popularity rank trends

Best Rank German:
#287619
07.2019
Global:
#393040
11.2016

AI rank trends

Best Rank German:
#5898
01.2018
Global:
#125044
01.2018

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Algebraic Riccati equation from Wikipedia articles about Riccati equation, Linear-quadratic regulator, Nonlinear system, Lyapunov equation and Sylvester equation. Whereas reading the article about Algebraic Riccati equation people most often go to Wikipedia articles on Riccati equation, Lyapunov equation, Sylvester equation, Schur decomposition and Linear-quadratic regulator.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 21 February 2026

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In German Wikipedia the most popular articles on that day were: Eric Dane, Franziska Preuß, Jeffrey Epstein, Medaillenspiegel der Olympischen Winterspiele 2026, Laura Nolte, Dorothea Wierer, Andreas Hofer, Alysa Liu, Olympische Winterspiele 2026, Mariama Jamanka.

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