Singular constrained linear systems

Author(s):

M. Nikuie , M. K. Mirnia

Message:
Abstract:
In the linear system Ax = b the points x are sometimes constrained to lie in a given subspace S of column space of A. Drazin inverse for any singular or nonsingular matrix, exist and is unique. In this paper, the singular consistent or inconsistent constrained linear systems are introduced and the effect of Drazin inverse in solving such systems is investigated. Constrained linear system arise in electrical network theory.
Keywords:

Singular matrix , Drazin inverse , Constrained systems , Bott , Dun inverse

Language:
English
Published:
International Journal of Industrial Mathematics, Volume:5 Issue: 4, Autumn 2013
Pages:
317 to 323
https://www.magiran.com/p1191152