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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan Leibniz: Jurnal Matematika Jurnal Inovasi Global SainsTech Innovation Journal
Gormantara, Jeriko
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Astronomy Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Energy Engineering Languange, Linguistic, Communication & Media Mathematics Mechanical Engineering Physics Public Health Social Sciences Transportation

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Karakterisasi Pusat Gelanggang Polinom Miring Atas Matriks Riil 3x3 Gormantara, Jeriko
Leibniz: Jurnal Matematika Vol. 5 No. 02 (2025): Leibniz: Jurnal Matematika
Publisher : Program Studi Matematika - Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas San Pedro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59632/leibniz.v5i02.500

Abstract

Pusat dari gelanggang polinom miring berperan penting dalam memahami sifat simetri dan komutativitas dalam struktur aljabar nonkomutatif. Konsep ini memiliki relevansi dalam pengembangan teori modul dan aplikasi seperti pengkodean dan kriptografi. Dalam penelitian ini, dikarakterisasi pusat dari gelanggang polinom miring atas gelanggang matriks riil 3×3. Hasil ini diperoleh dengan membangun sebuah endomorfisma pada gelanggang matriks riil 3×3, yang kemudian digunakan untuk mengkonstruksi gelanggang polinom miring. Hasil utama menunjukkan bahwa pusat gelanggang tersebut terdiri tepat dari polinomial-polinomial berderajat genap dengan koefisien berupa matriks skalar riil. Struktur ini muncul dari syarat bahwa elemen pusat harus komutatif terhadap operasi dalam gelanggang R dan terhadap x. Pembuktian dilakukan menggunakan argumen inklusi ganda.
Analisis Kepuasan Pengguna Aplikasi Myunhas Dengan Metode SUS dan EUCS Rombe, Liska Dewi; Sampetoding, Eliyah Acantha Manapa; Kusuma, Jeffry; Gormantara, Jeriko
Jurnal Inovasi Global Vol. 3 No. 7 (2025): Jurnal Inovasi Global
Publisher : Riviera Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58344/jig.v3i7.380

Abstract

Penelitian ini bertujuan untuk mengevaluasi tingkat kepuasan pengguna terhadap aplikasi MyUnhas, yang merupakan solusi digital Universitas Hasanuddin dalam mendukung layanan akademik dan administrasi. Metode evaluasi yang digunakan meliputi System Usability Scale (SUS) dan End User Computing Satisfaction (EUCS), dengan melibatkan 162 mahasiswa dari 15 fakultas sebagai responden. Hasil analisis menunjukkan bahwa skor SUS sebesar 58,22 berada pada kategori marginal (low), sedangkan skor EUCS sebesar 3,79 menunjukkan tingkat kepuasan yang relatif baik. Temuan ini mengindikasikan bahwa meskipun aplikasi MyUnhas cukup mendukung aktivitas akademik mahasiswa, masih terdapat aspek-aspek yang perlu ditingkatkan, khususnya terkait ketepatan waktu dalam penyajian informasi.
ON CONDITIONS FOR MATRICES T SUCH THAT T-I AND I-T^(-1) ARE INVERSE H-MATRICES* Gormantara, Jeriko; Garminia, Hanni; Amir, Amir Kamal; Ramdan, Evan
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 4 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss4pp2953-2962

Abstract

In this article, we study an analogue of a classical result for M-matrices: if T - I is an invertible M-matrix, then both T and I - T-1 are also invertible M-matrices. We extend this implication to a broader class—inverse H-matrices. The expressions T - I and I - T-1 commonly arise in the analysis of matrix stability, convergence of iterative methods, and spectral transformations, making their structural properties important for numerical analysis. We demonstrate that this implication does not generally hold for inverse H-matrices. However, we derive some conditions under which it remains valid. Specifically, we prove that under certain conditions, if T - I is an inverse H-matrix, then T and I - T-1 are also inverse H-matrices. Additionally, we investigate the result in the context of group inverses, showing that it does not hold for group inverse M-matrices and H-matrices.
Rancang Bangun Website Coin Laundry Alhamdulillah Saputra, Andi Maghfirah Inzani; Ilahi, Indah Kurnia; Kartika, Selviani Amalia; Hikmah, Nur; Butar-butar, Martahan Mikhael; Sampetoding, Eliyah A M; Ayatullah, Usamah bin; Gormantara, Jeriko; Ardhana, Valian Yoga Pudya; Mulyodiputro, M. Dermawan
SainsTech Innovation Journal Vol. 5 No. 2 (2022): SIJ Volume 5 Nomor 2 November 2022
Publisher : LPPM Universitas Qamarul Huda Badaruddin

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37824/sij.v5i2.2022.413

Abstract

The laundry business has now developed a lot, especially in campus and office areas. The laundry business is one of the businesses that has a great opportunity for business actors because when students or other people do not have time to wash their own clothes, they will hand them over to a washing service, namely laundry. In this journal we designed a website that can make it easier for cashiers to make transactions. In analyzing and building the system we use SDLC Waterfall Modell as our reference and have also displayed the Project Management Office (PMO). There are several other stages in designing, namely there are activity diagrams, use case diagrams, sequence diagrams, DFD, and also mock up websites that we have attached to this journal.
Co-Authors Amir Kamal Amir Ayatullah, Usamah bin Butar-butar, Martahan Mikhael Eliyah Acantha Manapa Sampetoding Hanni Garminia Ilahi, Indah Kurnia Jeffry Kusuma Kartika, Selviani Amalia Mulyodiputro, M. Dermawan Nur Hikmah Ramdan, Evan Rombe, Liska Dewi Saputra, Andi Maghfirah Inzani Valian Yoga Pudya Ardhana