Solving a matrix equation via a fixed point theorem in partially order sets
Jing Li · DOAJ (DOAJ: Directory of Open Access Journals) · 2018
In this paper, a new fixed point theorem in partially order sets is proposed. Based on this fixed point theorem, we proved that the matrix equation X-Σi=1i* XδiAi=Q (0 < δi < 1) always has a unique Hermitian positive definite (HPD) solution without any restrictions on coefficient matrices.