The Existence of the Moore-Penrose Inverse in Symmetrized Max-Plus Algebraic Matrix

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.

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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  -