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All Journal International Journal of Evaluation and Research in Education (IJERE) Journal of Education and Learning (EduLearn) Indonesian Journal of Conservation Kreano, Jurnal Matematika Kreatif-Inovatif REFLEKSI EDUKATIKA Jurnal Elemen JURNAL PROFESI KEGURUAN AKSIOMA Educational Management International Journal on Emerging Mathematics Education JURNAL PENDIDIKAN TAMBUSAI Prima: Jurnal Pendidikan Matematika Unnes Journal of Mathematics Education Research Journal of Primary Education Vygotsky: Jurnal Pendidikan Matematika dan Matematika Jurnal Ilmiah Pendidikan Matematika Al Qalasadi Mosharafa: Jurnal Pendidikan Matematika Plusminus: Jurnal Pendidikan Matematika Unnes Journal of Mathematics Education Unnes Journal of Mathematics Pattimura Proceeding : Conference of Science and Technology Jurnal Ilmiah Ilmu Terapan Universitas Jambi Journal of Environment and Sustainability Education Polyhedron International Journal in Mathematics Education Journal of Community Empowerment SJME (Supremum Journal of Mathematics Education)
Isnarto, Isnarto
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Agriculture, Biological Sciences & Forestry Humanities Astronomy Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Control & Systems Engineering Decision Sciences, Operations Research & Management Education Energy Engineering Environmental Science Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Library & Information Science Materials Science & Nanotechnology Mathematics Physics Social Sciences Other

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Journal : Unnes Journal of Mathematics

 1 
PENENTUAN NILAI EIGEN SUATU MATRIKS DENGAN METODE PANGKAT (POWER METHOD) Herviani, Benedikta Putri; Isnarto, Isnarto; Veronica, Rahayu Budhiati
Unnes Journal of Mathematics Vol 8 No 2 (2019)
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/ujm.v8i2.30091

Abstract

Penelitian ini membahas mengenai penentuan nilai eigen dominan dan tak dominan suatu matriks dengan metode pangkat (power method). Metode penelitian yang digunakan adalah dengan kajian pustaka. Pada penelitian ini disimpulkan: 1) Nilai eigen dominan suatu matriks A dengan metode pangkat langsung ditentukan dengan langkah-langkah berikut. (i) Menentukan sebarang vektor taknol x0. (ii) Mencari vektor yk = Axk untuk k = 0, dan vektor xk+1 untuk k = 0 yaitu membagi yk dengan λ(k+1), elemen yk dengan nilai mutlak terbesar. (iii) Mencari vektor yk dan xk+1 untuk k dari 1 sampai n hingga λ(k) mendekati λ(k+1). (2) Nilai eigen tak dominan suatu matriks A dengan metode pangkat invers ditentukan dengan mencari nilai eigen dominan A invers dimisalkan λinvers, dan nilai eigen tak dominan A adalah 1 dibagi λinvers. (3) Nilai eigen tak dominan suatu matriks A dengan metode pangkat tergeser ditentukan dengan mencari nilai eigen dominan A yang digeser dimisalkan λshifted dengan nilai geseran s, dan nilai eigen tak dominan A adalah λshifted ditambah s. (4) Nilai eigen dominan suatu matriks A dengan metode pangkat invers tergeser ditentukan dengan mencari nilai eigen dominan A yang diinvers dan digeser dimisalkan λshiftedinvers dengan nilai s dan nilai eigen dominan A adalah 1 dibagi λshiftedinvers ditambah s.
Implementasi metode eliminasi Gauss-Jordan dan dekomposisi Crout dalam memprediksi volume lalu lintas Munawaroh, Eva Lailatul; Isnarto, Isnarto
Unnes Journal of Mathematics Vol 10 No 2 (2021)
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/ujm.v10i2.50053

Abstract

Traffic volume is the number of vehicles passing at a point on a particular road at a certain period of time. The main purpose of this study was to predict the volume of traffic on Pemuda Street Semarang City using Gauss-Jordan elimination and Crout decomposition methods and determine alternative solutions to overcome congestion. Data collection is done by traffic counting at every intersection along Pemuda Street, Imam Bonjol Sreet, and Kapten Pierre Tendean, Semarang City. The linear equation system model is formed based on the data that has been obtained and then processed using both methods to find the number of vehicles passing through. This study concluded that the volume of traffic obtained using the Gauss-Jordan elimination and Crout decomposition at each track point along Pemuda Street overall from morning to noon and evening experiencing density. From both methods show that the Gauss-Jordan elimination method is more effective and efficient. The comparison of the two methods can be seen from the many steps of completion, the number of arithmetic operations, speed, and accuracy of obtaining a solution.
Co-Authors Adi Nur Cahyono Afit Istiandaru, Afit Agung Firmansyah Agus Wahyudin Ahmad Nurkhin Algifari Algifari, Algifari Amanoe, Zihni Amin Suyitno Ardhi Prabowo Arief Agoestanto Arif Wahyu Wirawan, Arif Wahyu Asep Purwo Yudi Utomo Asih, Kartika Sari Asih, Tri Sri Noor Astutiani, Risma Awaliyah, Fista Azka, Fullu Edy Soedjoko ernita, ernita Febrinasti, Rina Fedi, Sebastianus Fitriana, Rodliyatul Wulan Frazwanti, Yuni Hamidah . Hardi Saputro, Iwan Hardi Suyitno Hartono Hartono Hasan Mukhibad Herlambang, Satriya Herviani, Benedikta Putri Himmatul Ulya Husna, Nurya Maulida Hutneira, Ririn Irfanti, Dwi Islamy, Amilia Buana Dewi Isnaini Rosyida, Isnaini Istiqomah, Novita Ayu Iwan junaedi Karsim, Karsim Kartono , Khulda, Ifrikhatul Kristina Wijayanti Kuneni, Erna Kurnila, Valeria S. Laksono Trisnantoro Lestanti, Meilia Mira Limay Trisno Putra, Ari M. Andi Safrudin Maharani, Annisa Tetty Mahendra, Novira Rahmadian Manah, Nila Kumoro Maria Ayu Puspita Mellawaty, Mellawaty Mulyono Mulyono Munahefi, Detalia Noriza Munawaroh, Eva Lailatul Nafisah, Haifa Ngabiyanto - Ni’mah, Siti Khoirun Ningrum, Herlina Ulfa Nitasari, Ayu Nurkaromah Dwidayati, Nurkaromah Oktaviyanti, Sefti Dwi Pamungkas, Megita Dwi Pramono, Didi PUTRI, RAFIKA Putriaji Hendikawati Ratri Rahayu Rochmad - Rossi Galih Kesuma, Rossi Galih Sabani, Mas'ud Saputra, Moh. Firman Amardani Sarifuddin, Muhamad Scolastika Mariani Setiyawan, Ali Akhmad St. Budi Waluya Sugianto Sugianto Sugiarto S Sukestiyarno Sukestiyarno Supriyono Supriyono Ulmu Karimah Uus Kusdinar Vera Dewi Susanti Veronica, Rahayu Budhiati Wahyuningsih, Vebryana Walid Walid, Walid Wardono Wardono Widhiyanto, Riyadi Widiyanto, Endra Bagus Wiyanto - Wulandari, Inayah Yanitama, Arka Zaenuri Mastur Zakkia, Agustin