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Journal : Jurnal Ilmiah Matrik

NILAI AWAL PADA METODE SECANT YANG DIMODIFIKASI DALAM PENENTUAN AKAR GANDA PERSAMAAN NON LINEAR Patrisius Batarius; Alfry Aristo J. Sinlae
Jurnal Ilmiah Matrik Vol 21 No 1 (2019): Jurnal Ilmiah Matrik
Publisher : Direktorat Riset dan Pengabdian Pada Masyarakat (DRPM) Universitas Bina Darma

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (719.882 KB) | DOI: 10.33557/jurnalmatrik.v21i1.516

Abstract

Determining the root of an equation means making the equation equal zero, (f (f) = 0). In engineering, there are often complex mathematical equations. With the numerical method approach, the equation can be searching for the value of the equation root. However, to find a double root approach with several numerical methods such as the bisection method, regulatory method, Newton-Raphson method, and Secant method, it is not efficient in determining multiple roots. This study aims to determine the roots of non-linear equations that have multiple roots using the modified Secant method. Besides knowing the effect of determining the initial value for the Secant method that is modifying in determining the non-linear root of persistence that has multiple roots. Comparisons were also make to other numerical methods in determining twin roots with the modified Secant method. A comparison is done to determine the initial value used. Simulations are performing on equations that have one single root and two or more double roots.
TEKNOLOGI INFORMASI DALAM MENDOKUMENTASIKAN TUTUR BAHASA NGADHA YANG MENGAJARKAN KODE ETIK TEKS LOKAL Patrisius Batarius; Watu Yohanes Vianey; Ignatius P. A. N Samane
Jurnal Ilmiah Matrik Vol 23 No 1 (2021): Jurnal Ilmiah Matrik
Publisher : Direktorat Riset dan Pengabdian Pada Masyarakat (DRPM) Universitas Bina Darma

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33557/jurnalmatrik.v23i1.1218

Abstract

This research is an answer to the concern about the extinction of the local text code of ethics in an area. These codes of ethics teach the noble values ​​of the local area. The area taken in this study is Ngada in the central part of Flores Island, NTT Province. Research and documentation of Ngadha speech which teaches a code of ethics for local texts is widely carried out. However, this is only known by some people who speak Ngadha. The community in general knows the local language spoken from the local customary activities that have been passed down from generation to generation. Current generations and future generations do not know the meaning and speech of their own local language which contains the education of Pancasila values. Information technology is currently one of the solutions in documenting and publishing Ngadha speech. There are 160 Ngadha language sayings which have Pancasila educational values. These data are collected from interviews that have been written in book form and translated into Indonesian. A website is created to document digitally for further dissemination which is equipped with a literal and figurative meaning. It is hoped that, now and in the future, both elementary and secondary school children will know the meaning and value of Ngadha language speech. Educators can teach local wisdom values ​​in the form of texts to students. Another goal, for academic interests, both in the field of information technology and philosophy, is the moral responsibility of academics in documenting local content in Ngadha language.
ANALISIS METODE GAUSS-JORDAN DALAM PENENTUAN ARUS PADA RANGKAIAN LISTRIK Patrisius Batarius; Ignatius Pricher A. N. Samane
Jurnal Ilmiah Matrik Vol 23 No 3 (2021): Jurnal Ilmiah Matrik
Publisher : Direktorat Riset dan Pengabdian Pada Masyarakat (DRPM) Universitas Bina Darma

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33557/jurnalmatrik.v23i3.1508

Abstract

Persamaan simultan sering dijumpai di bidang teknik termasuk pada bidang elektro khususnya pada rangkaian listrik. Salah satu metode untuk menentukan arus listrik dalam sebuah rangkaian listrik menggunakan metode Gauss-Jordan. Permasalahannya adalah berapa jumlah iterasi yang dibutuhkan oleh metode Gauss-Jordan dalam menyelesaikan sebuah persamaan simultan dari sebuah rangkain listrik. Tujuan penelitian ini selain menghitung nilai arus pada masing-masing loop sebuah rangkaian listrik, juga mengetahui banyaknya iterasi pada metode Gauss-Jordan dalam menyelesaikan sebuah persamaan simultan yang dihasilkan dari sebuah rangkaian listrik. Satu iterasi pada proses Gauss-Jordan yakni: normalisasi matriks kemudian dilanjutkan perkalian elemen matriks dengan persamaan ternomalisasi untuk menghasilkan matriks saat ini. Langkah selanjutnya adalah pengurangan element matriks dari sebelumnya dengan matriks saat ini untuk menghasilkan matriks selanjutnya. Acuan ini digunakan untuk menghitung jumlah iterasi dari metode Gauss-Jordan. Hasil proses metode Gauss Jordan menunjukan bahwa umlah iterasi Gauss-Jordan menyelesaikan persamaan simultan dengan model darai rangkain listrik sebanyak n iterasi. Dengan n adalah jumlah loop dari rangkaian listrik tersebut atau jumlah variabel dari persamaan simultan. Model persamaan simultan pada rangkaian listrik diperoleh dengan menerapkan Hukum Kirchof Tegangan dan Hukum Kircof Arus, diperoleh persamaan setiap loop pada rangkaian listrik