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All Journal Journal of Mathematical and Fundamental Sciences Infolitika Journal of Data Science
Shinjo, Masato
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Astronomy Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Earth & Planetary Sciences Engineering Mathematics Physics

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Discretization and Associated Asymptotic Behavior for the Lax Equation with Skew-symmetry Shinjo, Masato; Kitakado, Masaharu
Journal of Mathematical and Fundamental Sciences Vol. 56 No. 3 (2024)
Publisher : Directorate for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2024.56.3.4

Abstract

The computation of matrix eigenvalues is vital for understanding various scientific phenomena. The QR method, which is based on the QR factorization of a matrix, is a common approach in numerical linear algebra. In integrable systems, the one-step process of the QR method is related to the time evolution of the Lax equation. In this paper, we clarify the relationship between the QR method, which incorporates an origin shift parameter, and the Lax equation with skew-symmetry. Furthermore, we show the asymptotic convergence of discretization based on matrix factorization of the Lax equation with skew-symmetry as discrete time approaches infinity.
Similarity-Based Network in the Industrial Community of Joyo City Takeuchi, Keita; Iwasaki, Masashi; Shinjo, Masato
Infolitika Journal of Data Science Vol. 3 No. 1 (2025): May 2025
Publisher : Heca Sentra Analitika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.60084/ijds.v3i1.267

Abstract

Data utilization is becoming increasingly widespread in a variety of fields around the world, and has become especially important in the industrial world. Data utilization techniques and approaches can contribute to the development of not only individual companies but also certain groups of companies. In this paper, we consider the industrial structure of Joyo City, Japan, by analyzing data collected through interviews with company presidents and managers. The main purpose of this paper is to grasp it in terms of similarity across industrial categories. We first express the features of each company as a vector with entries determined from the interview data. We then compute vector similarities in order to draw a graphical network, in which nodes corresponding to similar companies are linked by an edge. From the resulting network, we derive the most similar companies in the same and different industrial categories for each company. Moreover, we then classify Joyo City's companies into new groups across the standard categories.
Co-Authors Iwasaki, Masashi Kitakado, Masaharu Takeuchi, Keita