シルベスター方程式

ja

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シルベスター方程式

Quality:

Sylvester equation - matrix equation in the field of control theory. Article "シルベスター方程式" in Japanese Wikipedia has 13.7 points for quality (as of July 1, 2025). The article contains 9 references and 7 sections.

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

Since the creation of article "シルベスター方程式", its content was written by 4 registered users of Japanese Wikipedia and edited by 81 registered Wikipedia users in all languages.

The article is cited 1 times in Japanese Wikipedia and cited 31 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Japanese): #30749 in January 2019
  • Global: #75789 in October 2013

The highest popularity rank from 2008:

  • Local (Japanese): #361317 in July 2024
  • Global: #778637 in February 2022

There are 10 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
1Chinese (zh)
西爾維斯特方程
25.9698
2English (en)
Sylvester equation
23.5502
3Greek (el)
Εξίσωση Συλβέστερ
22.2612
4French (fr)
Équation de Sylvester
16.646
5Japanese (ja)
シルベスター方程式
13.7045
6Korean (ko)
실베스터 방정식
12.9515
7Italian (it)
Equazione di Sylvester
8.0274
8Thai (th)
สมการซิลเวสเตอร์
5.7422
9German (de)
Sylvester-Gleichung
5.4015
10Polish (pl)
Równanie Sylvestera
4.1627
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 "シルベスター方程式" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Sylvester equation
206 176
2German (de)
Sylvester-Gleichung
15 046
3Chinese (zh)
西爾維斯特方程
11 093
4Japanese (ja)
シルベスター方程式
7 477
5Italian (it)
Equazione di Sylvester
6 305
6Polish (pl)
Równanie Sylvestera
4 804
7Thai (th)
สมการซิลเวสเตอร์
2 286
8French (fr)
Équation de Sylvester
2 119
9Korean (ko)
실베스터 방정식
2 063
10Greek (el)
Εξίσωση Συλβέστερ
146
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 "シルベスター方程式" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Sylvester equation
1 120
2Chinese (zh)
西爾維斯特方程
112
3Japanese (ja)
シルベスター方程式
99
4German (de)
Sylvester-Gleichung
87
5French (fr)
Équation de Sylvester
67
6Korean (ko)
실베스터 방정식
25
7Italian (it)
Equazione di Sylvester
24
8Polish (pl)
Równanie Sylvestera
24
9Thai (th)
สมการซิลเวสเตอร์
7
10Greek (el)
Εξίσωση Συλβέστερ
3
More...

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

The highest AI

Language versions of the article "シルベスター方程式" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Sylvester equation
38
2German (de)
Sylvester-Gleichung
14
3Italian (it)
Equazione di Sylvester
7
4Polish (pl)
Równanie Sylvestera
6
5Japanese (ja)
シルベスター方程式
4
6French (fr)
Équation de Sylvester
3
7Thai (th)
สมการซิลเวสเตอร์
3
8Chinese (zh)
西爾維斯特方程
3
9Greek (el)
Εξίσωση Συλβέστερ
2
10Korean (ko)
실베스터 방정식
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 "シルベスター方程式" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Sylvester-Gleichung
0
2Greek (el)
Εξίσωση Συλβέστερ
0
3English (en)
Sylvester equation
0
4French (fr)
Équation de Sylvester
0
5Italian (it)
Equazione di Sylvester
0
6Japanese (ja)
シルベスター方程式
0
7Korean (ko)
실베스터 방정식
0
8Polish (pl)
Równanie Sylvestera
0
9Thai (th)
สมการซิลเวสเตอร์
0
10Chinese (zh)
西爾維斯特方程
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 "シルベスター方程式" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Sylvester equation
12
2German (de)
Sylvester-Gleichung
5
3French (fr)
Équation de Sylvester
5
4Korean (ko)
실베스터 방정식
2
5Polish (pl)
Równanie Sylvestera
2
6Chinese (zh)
西爾維斯特方程
2
7Italian (it)
Equazione di Sylvester
1
8Japanese (ja)
シルベスター方程式
1
9Thai (th)
สมการซิลเวสเตอร์
1
10Greek (el)
Εξίσωση Συλβέστερ
0
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
deGerman
Sylvester-Gleichung
elGreek
Εξίσωση Συλβέστερ
enEnglish
Sylvester equation
frFrench
Équation de Sylvester
itItalian
Equazione di Sylvester
jaJapanese
シルベスター方程式
koKorean
실베스터 방정식
plPolish
Równanie Sylvestera
thThai
สมการซิลเวสเตอร์
zhChinese
西爾維斯特方程

Popularity rank trends

Best Rank Japanese:
#361317
07.2024
Global:
#778637
02.2022

AI rank trends

Best Rank Japanese:
#30749
01.2019
Global:
#75789
10.2013

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Sylvester equation from Wikipedia articles about Lyapunov equation, Algebraic Riccati equation, Matrix, Alternating direction implicit method and Bartels–Stewart algorithm. Whereas reading the article about Sylvester equation people most often go to Wikipedia articles on Lyapunov equation, Bartels–Stewart algorithm, Algebraic Riccati equation, Kronecker product and Vectorization.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In Japanese Wikipedia the most popular articles on that day were: 日本航空123便墜落事故, 坂本九, 二階堂ふみ, カズレーザー, 北原遥子, やなせたかし, 柏木由紀子, 大竹七未, 大島花子, 舞坂ゆき子.

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