Proceedings of the Soedirman International Conference on Mathematics and Applied Sciences (SICOMAS 2021)

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
https://doi.org/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.

Download article (PDF)

Volume Title
Proceedings of the Soedirman International Conference on Mathematics and Applied Sciences (SICOMAS 2021)
Series
Advances in Physics Research
Publication Date
25 May 2022
ISBN
978-94-6239-579-4
ISSN
2352-541X
DOI
https://doi.org/10.2991/apr.k.220503.013How to use a DOI?
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  - https://doi.org/10.2991/apr.k.220503.013
ID  - Suroto2022
ER  -