TY - JOUR
T1 - Least Squares Properties of Generalized Inverses
AU - Stanimirović , Predrag S.
AU - Dijana , Mosić
AU - Wei , Yimin
JO - Communications in Mathematical Research 
VL - 4
SP - 421
EP - 447
PY - 2021
DA - 2021/08
SN - 37
DO - http://doi.org/10.4208/cmr.2021-0011
UR - https://global-sci.org/intro/article_detail/cmr/19437.html
KW - Outer inverse, Moore-Penrose inverse, DMP inverse, core-EP inverse.
AB - <p style="text-align: justify;">The aim of this paper is to systematize solutions of some systems of
linear equations in terms of generalized inverses. As a significant application
of the Moore-Penrose inverse, the best approximation solution to linear matrix
equations (i.e. both least squares and the minimal norm) is considered. Also,
characterizations of least squares solution and solution of minimum norm are
given. Basic properties of the Drazin-inverse solution and the outer-inverse solution are present. Motivated by recent research, important least square properties of composite outer inverses are collected.</p>