von Rosen, Dietrich
- Institutionen för energi och teknik, Sveriges lantbruksuniversitet
Sammanfattning
A pair of complex Hermitian matrices A and B of the same size are said to satisfy an inequality A >= B in the Lowner partial ordering if A-B is nonnegative definite. In this note, we first derive the general solutions in closed-form for the linear matrix equation AXB + (AXB)* = C by using generalized inverses of matrices, and then derive general solutions of the linear matrix inequality AXB + (AXB)* >= C when C is a Hermitian nonnegative definite matrix.
Nyckelord
Linear matrix equation; linear matrix inequality; Lowner partial ordering; general solution; generalized inverses of matrices; rank; inertia
Publicerad i
Mathematical Inequalities and Applications
2012, volym: 15, nummer: 3, sidor: 537-548
Utgivare: ELEMENT
SLU författare
UKÄ forskningsämne
Algebra och logik
Publikationens identifierare
- DOI: https://doi.org/10.7153/mia-15-47
Permanent länk till denna sida (URI)
https://res.slu.se/id/publ/45204