Linear Algebra Seminar

Speaker: Zhouheng He

Title: Some new developments of Sylvester-type matrix equations

Abstract: In this talk, we consider some systems of coupled Sylvester-type matrix equations. We give some necessary and sufficient solvability conditions for some systems of coupled Sylvester-type matrix equations in terms of ranks and generalized inverses of matrices. We also derive the general solutions to these systems when they are solvable.