摘要
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.
基金
P.S.Stanimirovic was supported by the Ministry of Education and Science,Republic of Serbia(Grant 174013/451-03-9/2021-14/200124)
D.Mosic was supported by the Ministry of Education,Science and Technological Development,Republic of Serbia(Grant 174007/451-03-9/2021-14/200124)
Y.Wei was supported by the bilateral project between China and Serbia The theory of tensors,operator matrices and applications(no.4-5)'.
