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Desi Lira Antika
Universitas Andalas
Computer Science & IT Mathematics

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THE MOORE–PENROSE INVERSE OF SYMMETRIC MATRICES WITH EQUITABLE PARTITIONS AND DIVISOR MATRICES Desi Lira Antika; Yanita Yanita; Monika Rianti Helmi
Jurnal Matematika UNAND Vol. 15 No. 3 (2026)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.15.3.427-435.2026

Abstract

A balanced partitioned symmetric matrix is a matrix that has partition blocks that have the same average number of rows and columns. The sum of these average rows and columns is then arranged into a matrix, which is called the divisor matrix. The purpose of this paper is to analyze the relationship between the Moore-Penrose inverse divisor matrix of a balanced partitioned symmetric matrix A and the Moore-Penrose inverse divisor matrix of A. Furthermore, it is obtained that the divisor matrix of the Moore-Penrose inverse of matrix A is the same as the Moore-Penrose inverse of the divisor matrix of A.
Co-Authors Helmi, Monika Rianti Yanita Yanita