Positive Linear Maps and the Lyapunov Equation
Rajendra Bhatia, L. Elsner · Birkhäuser Basel eBooks · 2002
It is well-known that positivity plays an important role in the study of the discrete time and the continuous time Lyapunov equations. We show how general theorems on positive linear maps on matrices may be used in this context. Our method leads to several old, recent, and new bounds on the sensitivity of these equations. Further, it can be applied to related problems and to other matrix equations as well. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.