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Journal : Mathematical Sciences and Applications Journal

Algoritma Arnoldi untuk Penyelesaian Masalah Nilai Eigen Matriks Raksasa Alim, Khairul; Pratiwi, Nurul; Multahadah , Cut; Sormin , Corry; Putra, Fernando Mersa
Mathematical Sciences and Applications Journal Vol. 4 No. 2 (2024): Mathematical Sciences and Applications Journal
Publisher : Department of Mathematics, Faculty of Science and Technology Universitas Jambi

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Abstract

The computation of eigenvalues for large-scale matrices is a crucial task in various scientific and engineering domains. This research focuses on the performance of numerical techniques, particularly those utilizing Hessenberg matrices, in solving eigenvalue problems. We investigate the efficacy of these methods and their implementation on modern computational platforms. Our study reveals that increasing the size of the Hessenberg matrix significantly enhances the accuracy of eigenvalue approximations. Through extensive simulations and performance evaluations, we demonstrate that larger Hessenberg matrices provide more precise eigenvalue solutions, underscoring the importance of matrix dimension in the computational process. These findings offer valuable insights for optimizing eigenvalue computations in large-scale applications.
Co-Authors A.T. Ari Sudewo Abdullah Achmad Abubakar Al Faruqi, Fiqri Alfan, Alfioni Azahra Alim, Khairul Amalia Putri, Nur Annisa Anggia Puteri Anggraeni, Meri Dwi Anggriani, Rini Anitha Thalib Mbau Ardina, Vebria Ariesta, Dea Ashary, Aldi Asiani, Rosi Widia Asti, Martina Baehaqi Baso Amang, Baso Bulan, Defina Dwi Cruz, Joseph F. Dela Dewi, Yashinta Kumala Dhian Eka Wijaya Diah Riski Gusti Edwin Permana Endi Adriansyah Fadli, Rizkal Fariq Azhar Fazhar, Shella Amanda Febriyan, Merliyana Fernando Mersa Putra Fitri, Selta Haddade, Abdul Wahid Halimah Basri Hariestya Viareco Hariyadi, Nanang Tri Himmatul Khasanah Imelda, Bonifa Jam'an, Andi Khairani, Masita Kurniati Kurniati Laia, Yochi Christhofen Larau, Kasih Marchela Z. Lenny Marlinda Lia Anggresani Lumbessy, Salnida Yuniarti Lutfi, Mukhtar Lydianingtias, Dyah M. Yogi Riyantama Isjoni Marisa, Susi Martina Asti Rahayu Misbahuddin Misbahuddin Mubarak A. Taufan, Muh. Syahril Muh. Azka Fazaka Rif’aah Muhaimin Muhaimin Muhammad Halmi Dar Muhammad Yamin Jinca Multahadah , Cut Multahadah, Cut Munifilia Ekasari Munthe, Ibnu Rasyid Muslimahayati Mustari Mustafa mutia fadhila putri, mutia fadhila Najiyyah, Najiyyah Nasution, Dania Andiriani Putri Nawir, Syahrianti M Ngatijo Ngatijo Nur Azizah Nur Widodo Nuraini, Syafira Nurlaela Nurlaela Pacidda, Nurafni Azzahra Dg Pinem, Emabaisa Br PRASETYO ADI NUGROHO, PRASETYO ADI Puspitasari, Ratih Dyah Putra, Nalendra Gigih Wibawanto Putri Amalia, Nurul Putri Pandulu, Clara RAFI'I, MUH Rahman, Nadya Septiani Rahmawati Muin Rahmayeni Rahmi Rahmi Rahmi Restina Bemis, Restina Rizal B, Muh. Rizki Ananda Sabbu, Sukma Widya Sasmi Safitri, Ayu Nadila Sahabuddin, Zaenal Arifin Sakti, Radia Jatu Noviarsita Salfadri, Salfadri Sari, Maya Indah Setiawan, Wahyu Rahmat Setya Agus Santosa Shalihin, Muhammad Irhash Sihaloho , Bonifa Imelda Silpa , Riga Oktry Simamora, Enjelina Pitri Sirait, Rachel Calista A. Siregar, Arifin Aulia Sitorus, Christin Sormin , Corry Sri Rezeki Sulfanita, Andi Sunusi, Muhammad Nur Taufiq Syukur Kahar, Muh. Taufik Hidayat Thalib Mbau, Anitha Thariq, Ahmad Tiara Anggraini Utami, Andita Wahyuningsih, Iga Wibimanyu, Putu Adityo Widianingrum, Desy Widianingrum, Desy Cahya Yuliana Sari Yulianto, Roni Yusria Putri, Desta Zalianti, Mifta Zebua, Elysabet br. Zulhadjri