The Existence of the Moore-Penrose Inverse in Symmetrized Max-Plus Algebraic Matrix
Authors
Suroto Suroto1, *, Najmah Istikaanah1, Renny Renny1
1Departement of Mathematics, Universitas Jenderal Soedirman, Purwokerto, Central Java, Indonesia
*Corresponding author. Email: suroto@unsoed.ac.id
Corresponding Author
Suroto Suroto
Available Online 25 May 2022.
- DOI
- 10.2991/apr.k.220503.013How to use a DOI?
- Keywords
- Existence; Moore-Penrose inverse; Symmetrized max-plus algebra; Conventional algebra
- Abstract
In this paper we discusses Moore-Penrose inverse in symmetrized max-plus algebraic matrix. The existence of Moore-Penrose inverse is shown using a link among symmetrized max-plus algebra and conventional algebra. The result is a Moore-Penrose inverse in symmetrized max-plus algebraic matrix exists. Furthermore, the balanced inverse and the max-plus inverse are also the Moore-Penrose inverse in symmetrized max-plus algebraic matrix.
- Copyright
- © 2022 The Authors. Published by Atlantis Press International B.V.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license.
Cite this article
TY - CONF AU - Suroto Suroto AU - Najmah Istikaanah AU - Renny Renny PY - 2022 DA - 2022/05/25 TI - The Existence of the Moore-Penrose Inverse in Symmetrized Max-Plus Algebraic Matrix BT - Proceedings of the Soedirman International Conference on Mathematics and Applied Sciences (SICOMAS 2021) PB - Atlantis Press SP - 59 EP - 64 SN - 2352-541X UR - https://doi.org/10.2991/apr.k.220503.013 DO - 10.2991/apr.k.220503.013 ID - Suroto2022 ER -