Alfiany, Noverina
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APLIKASI ALGORITMA LEVERRIER FADDEEV DALAM MENGHITUNG INVERS MATRIKS CENTROSYMMETRIC Yanita, Yanita; Indaswari, Marzetha; Alfiany, Noverina
Jurnal Matematika UNAND Vol 13, No 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.324-339.2024

Abstract

Matriks centrosymmetric adalah matriks bentuk khusus dari matriks simetris, yang mana matriks ini memiliki struktur simetri pada pusat matriksnya. Di antara beberapa masalah terkait matriks centrosymmetric adalah masalah penentuan invers dan nilai eigennya. Pada penelitian ini dikaji masalah penentuan invers dan nilai eigen dari matriks centrosymmetric dengan bentuk khusus ordo n × n, n ≥ 3 dengan menggunakan algoritma Leverrier Faddeev. Penelitian ini diawali dengan menentukan Yi dan qi dari setiap matriks centrosymmetric berukuran n × n, 3 ≥ n ≥ 8. Selanjutnya dengan memperhatikan pola invers dan nilai eigennya diperoleh bentuk umum invers dan nilai eigen dari matriks centrosymmetric dengan bentuk khusus ordo n × n, n ≥ 3 dalam dua kasus, yaitu untuk n = 2m + 1 dan n = 2m.
APLIKASI ALGORITMA LEVERRIER FADDEEV DALAM MENGHITUNG INVERS MATRIKS CENTROSYMMETRIC Yanita, Yanita; Indaswari, Marzetha; Alfiany, Noverina
Jurnal Matematika UNAND Vol. 13 No. 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.324-339.2024

Abstract

Matriks centrosymmetric adalah matriks bentuk khusus dari matriks simetris, yang mana matriks ini memiliki struktur simetri pada pusat matriksnya. Di antara beberapa masalah terkait matriks centrosymmetric adalah masalah penentuan invers dan nilai eigennya. Pada penelitian ini dikaji masalah penentuan invers dan nilai eigen dari matriks centrosymmetric dengan bentuk khusus ordo n × n, n ≥ 3 dengan menggunakan algoritma Leverrier Faddeev. Penelitian ini diawali dengan menentukan Yi dan qi dari setiap matriks centrosymmetric berukuran n × n, 3 ≥ n ≥ 8. Selanjutnya dengan memperhatikan pola invers dan nilai eigennya diperoleh bentuk umum invers dan nilai eigen dari matriks centrosymmetric dengan bentuk khusus ordo n × n, n ≥ 3 dalam dua kasus, yaitu untuk n = 2m + 1 dan n = 2m.
Stability Analysis and Traveling Wave Solutions of the Dynamic Model of Bird Flu Transmission in Poultry–Human Interaction Dilla, Rahma; Putri, Arrival Rince; Alfiany, Noverina; Syafwan, Mahdhivan
Jurnal Matematika UNAND Vol. 14 No. 4 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.4.355-365.2025

Abstract

This study analyzes the stability of a mathematical model of avian influenza virus spread in poultry-human interaction population. The analysis was conducted to see the dynamics of the spread of avian influenza virus. From the model, the equilibrium points and basic reproduction numbers associated with the stability of the system are obtained. The results obtained show that stability depends on the basic reproduction number. Numerical simulations were carried out using Maple and gave the result that the infection rate is low and the system reaches a stable state where the infection does not disappear but does not spread significantly.
SOFT GRAPHS OF THE BARBELL STAR GRAPH Helmi, Monika Rianti; Sy, Syafrizal; Nazra, Admi; Muhafzan; Hanifa, Nurul; Alfiany, Noverina
Jurnal Matematika UNAND Vol. 14 No. 4 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.4.366-375.2025

Abstract

\textit{Let $G^*=(V(G^*),E(G^*))$ is a simple graph and $A$ be a non-empty set of parameter. Let $R\subseteq A\times V(G^*)$ be a arbitrary relation from $A$ to $V(G^*)$. A mapping $F:A\to P(V(G^*))$ can be defined as $F(x)=\left\{y\in V\mid xRy \right\}$ and a mapping $K:A\to P(E(G^*))$ can be defined as $K(x)=\left\{uv\in E\mid \left\{u,v\right\}\subseteq F(x)\right\}$. A pair $(F,A)$ and $(K,A)$ are soft sets over $V(G^*)$ and $E(G^*)$ respectively, then $(F(a),K(a))$ is a subgraph of $G^*$. The 4-tuple $G=(G^*,F,K,A)$ is called a soft graph of $G$. In this paper, we enumerate soft graph of amalgamation of path and star.}
The Maturity Model of Data Quality Management in Banking Industry: PT XYZ Core System Customer Data Mulyadi, Rahmad; Ruldeviyani, Yova; Alfiany, Noverina; Hidayanto, Achmad Nizar
Jurnal Komtika (Komputasi dan Informatika) Vol 7 No 1 (2023)
Publisher : Universitas Muhammadiyah Magelang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31603/komtika.v7i1.8750

Abstract

PT XYZ, engaged in the financial industry, has a target to become a leading company in Southeast Asia and has been supported by more than 200 million customer data in its core system. This huge amount of data is expected to create business opportunities, build a risk-aware culture, and increase supremacy in the business strategy of PT XYZ. These things can be achieved if the data used is of good quality data. In fact, found anomalies in a large number of customer data. To get recommendations for improving the quality of customer data, it is necessary to assess the quality of customer data. The customer data quality assessment in this study uses the method introduced by Loshin (2011). Loshin’s Data Quality Management Model (DQMM) adopts a capability maturity level model in building its characteristic matrix. Maturity levels obtained are 3.6 (expectations), 3.6 (dimensions), 4.4 (policy), 3.8 (procedures), 4.2 (governance), 3.8 (standardization), 4, 2 (technology), and 3.8 (performance management). Regarding the expectation that senior management can achieve the highest level of data quality, 9 strategic recommendations were produced 9 strategy recommendations were submitted to PT XYZ is the result of mapping between criteria that have not been met with data quality management activity in Data Management Body of Knowledge (DMBOK) version 2.0. Measurement and monitoring of good data quality is the most influential recommendation for PT XYZ.