Title of article :
New results on the quasi-commuting inverses
Author/Authors :
Nikuie, Moharam Islamic Azad University - Urmia Branch, Urmia , Zohri, Ali Payame Noor University , Mirnia, Mir Kamal Department of Computer Sinence - Islamic Azad University - Tabriz Branch, Tabriz
Abstract :
A matrix has an ordinary inverse only if it is square, and even then only if it is nonsingular or, in
other words, if its columns (or rows) are linearly independent. In recent years needs have been felt in
numerous areas of applied mathematics for some kind of partial inverse of a matrix that is singular
or even rectangular. In this paper, some results on the Quasi-commuting inverses, are given and
the effect of them in solving the case of linear system of equations where the coeffcient matrix is a
singular matrix, is illustrated.
Keywords :
Index of matrix , Generalized inverse , Singular linear system , Quasi-commuting inverses
Journal title :
Astroparticle Physics
