Fundamental matrix (linear differential equation)

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Fundamental matrix (linear differential equation)

Quality:

Fundamental matrix - matrix whose columns are linearly independent solutions of a system of homogeneous linear ordinary differential equations. Article "Fundamental matrix (linear differential equation)" in English Wikipedia has 16.7 points for quality (as of July 1, 2025). The article contains 3 references and 3 sections.

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

Since the creation of article "Fundamental matrix (linear differential equation)", its content was written by 19 registered users of English Wikipedia and edited by 39 registered Wikipedia users in all languages.

The article is cited 148 times in English Wikipedia and cited 191 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #124298 in October 2013
  • Global: #309225 in August 2023

The highest popularity rank from 2008:

  • Local (English): #426925 in April 2018
  • Global: #643211 in April 2018

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
1Hebrew (he)
מטריצה יסודית
23.1654
2English (en)
Fundamental matrix (linear differential equation)
16.6933
3Ukrainian (uk)
Фундаментальна матриця (лінійні диференціальні рівняння)
13.108
4Catalan (ca)
Matriu fonamental (equació diferencial lineal)
11.1726
5Spanish (es)
Matriz fundamental (ecuación diferencial lineal)
8.7184
6Russian (ru)
Фундаментальная матрица
6.8726
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 "Fundamental matrix (linear differential equation)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Fundamental matrix (linear differential equation)
190 329
2Russian (ru)
Фундаментальная матрица
67 123
3Ukrainian (uk)
Фундаментальна матриця (лінійні диференціальні рівняння)
3 225
4Spanish (es)
Matriz fundamental (ecuación diferencial lineal)
2 168
5Catalan (ca)
Matriu fonamental (equació diferencial lineal)
330
6Hebrew (he)
מטריצה יסודית
250
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 "Fundamental matrix (linear differential equation)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Fundamental matrix (linear differential equation)
629
2Russian (ru)
Фундаментальная матрица
293
3Spanish (es)
Matriz fundamental (ecuación diferencial lineal)
95
4Hebrew (he)
מטריצה יסודית
20
5Ukrainian (uk)
Фундаментальна матриця (лінійні диференціальні рівняння)
19
6Catalan (ca)
Matriu fonamental (equació diferencial lineal)
8
More...

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

The highest AI

Language versions of the article "Fundamental matrix (linear differential equation)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Fundamental matrix (linear differential equation)
19
2Russian (ru)
Фундаментальная матрица
11
3Ukrainian (uk)
Фундаментальна матриця (лінійні диференціальні рівняння)
4
4Catalan (ca)
Matriu fonamental (equació diferencial lineal)
3
5Spanish (es)
Matriz fundamental (ecuación diferencial lineal)
1
6Hebrew (he)
מטריצה יסודית
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 "Fundamental matrix (linear differential equation)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Matriu fonamental (equació diferencial lineal)
0
2English (en)
Fundamental matrix (linear differential equation)
0
3Spanish (es)
Matriz fundamental (ecuación diferencial lineal)
0
4Hebrew (he)
מטריצה יסודית
0
5Russian (ru)
Фундаментальная матрица
0
6Ukrainian (uk)
Фундаментальна матриця (лінійні диференціальні рівняння)
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 "Fundamental matrix (linear differential equation)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Fundamental matrix (linear differential equation)
148
2Ukrainian (uk)
Фундаментальна матриця (лінійні диференціальні рівняння)
34
3Russian (ru)
Фундаментальная матрица
5
4Spanish (es)
Matriz fundamental (ecuación diferencial lineal)
2
5Catalan (ca)
Matriu fonamental (equació diferencial lineal)
1
6Hebrew (he)
מטריצה יסודית
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
caCatalan
Matriu fonamental (equació diferencial lineal)
enEnglish
Fundamental matrix (linear differential equation)
esSpanish
Matriz fundamental (ecuación diferencial lineal)
heHebrew
מטריצה יסודית
ruRussian
Фундаментальная матрица
ukUkrainian
Фундаментальна матриця (лінійні диференціальні рівняння)

Popularity rank trends

Best Rank English:
#426925
04.2018
Global:
#643211
04.2018

AI rank trends

Best Rank English:
#124298
10.2013
Global:
#309225
08.2023

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Fundamental matrix from Wikipedia articles about Fundamental system of solutions, Monodromy matrix, Floquet theory, Fundamental matrix and Liouvilles formula. Whereas reading the article about Fundamental matrix people most often go to Wikipedia articles on State-transition matrix, Fundamental system of solutions, Fundamental matrix, Liouvilles formula and Linear differential equation.

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 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