Open AccessApplied Drazin Inverse to Moore-Penrose inverse in rings with involution
Author(s) -
U. Tarmizi,
Titi Udjiani Srrm,
Susilo Hariyanto,
Harjito,
F. A. Mansuri
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1217/1/012069
Subject(s) - drazin inverse , inverse , involution (esoterism) , mathematics , moore–penrose pseudoinverse , generalized inverse , inverse function , algebraic number , pure mathematics , algebra over a field , mathematical analysis , geometry , politics , political science , law
Moore-Penrose inverse is one of development of generalized inverse. In this paper, we defined and studied a relation between the Moore-Penrose inverse and the Drazin inverse in the setting of rings with involution. The results of this paper are new characterizations of Moore-Penrose inverse by applying Drazin inverse with an algebraic proof.