Algorithms for Computing M-Plithogenic Eigen Values and Vectors for Some Special Values of M
Isra Al-Shbeil1, Wael Mahmoud M. Salameh2,*, Hossam Almahasneh3, Khalid Kaabneh4, Mutaz Shatnawi5, Khaled Al-Husban6
1Department of Mathematics, Faculty of Sciences, University of Jordan, Amman 11942, Jordan
2Faculty of Information Technology, Abu Dhabi University, Abu Dhabi, UAE
3Assistant professor, IT faculty, Zarqa university, Jordan
4Faculty of Information Technology, Al-Ahliyya Amman University, Jordan
5Department of Mathematics, Faculty of Science and Technology, Irbid National University, Irbid 21110, Jordan,
6School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia 43600 UKM Bangi Selangor DE, Malaysia,
Emails: i.shbeil@ju.edu.jo; wael.salameh@adu.ac.ae; H.almahasneh@zu.edu.jo; k.alkaabneh@ammanu.edu.jo; m.shatnawi@inu.edu.jo; Khaledalhusban32@gmail.com
Abstract
Plithogenic matrices are considered as advanced mathematical generalizations of classical square matrices. One of the most research problems that is related to them is finding the eigen-values and vectors. This paper aims to present an easy algorithm to find all eigen-values and eigen-vectors for 10 different symbolic square n-plithogenic matrices with plithogenic real entries, where n is between 20 and 29. All algorithms are explained through clear theorems and proofs.
Keywords: plithogenic matrix; plithogenic eigen-value; plithogenic eigen vector; neutrosophic matrix.