Article Per Year (5 Year)
p-Index From 2020 - 2025
0.23
P-Index
This Author published in this journals
All Journal Epsilon: Jurnal Matematika Murni dan Terapan
Mardiyana Mardiyana
Program Studi Matematika FMIPA Universitas Lambung Mangkurat
Decision Sciences, Operations Research & Management Transportation

Published : 1 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 1 Documents
Search

 1 
INVERS TERGENERALISASI MOORE PENROSE Mardiyana Mardiyana; Na'imah Hijriati; Thresye Thresye
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol. 15(2), 2021
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (113.628 KB) | DOI: 10.20527/epsilon.v15i2.3667

Abstract

The generalized inverse is a concept for determining the inverse of a singular matrix and and  matrix which has the characteristic of the inverse matrix. There are several types of generalized inverse, one of which is the Moore-Penrose inverse. The matrix  is called Moore Penrose inverse of a matrix if it satisfies the four penrose equations and is denoted by . Furthermore, if the matrix  satisfies only the first two equations of the Moore-Penrose inverse and , then  is called the group inverse of  and is denoted by . The purpose of this research was to determine the group inverse of a non-diagonalizable square matrix using Jordan’s canonical form and Moore Penrose’s inverse of a singular matrix, also a non-square matrix using the Singular Value Decomposition (SVD) method. The results of this study are the sufficient condition for a matrix  to have a group inverse, i.e., a matrix  has an index of 1 if and only if the product of two matrices forming  is a full rank factorization and is invertible. Whereas for a singular matrix  and a non-square , the Moore-Penrose inverse can be determined using Singular Value Decomposition (SVD).                                                           Keywords: generalized matrix inverse, Moore Penrose inverse, group inverse, Jordan canonical form, Singular Value Decomposition.
Co-Authors Hijriati, Naimah Thresye Thresye