Positive Linear Maps and the Lyapunov Equation
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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.
KeywordsLinear Algebra Matrix Equation Operator Algebra Open Unit Disk Lyapunov Equation
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- Bhatia R., Elsner L., Sensitivity of the solutions of some matrix equations, Preprint SFB 343 97–106 (1997),.Google Scholar
- Horn R., The Hadamard product, Matrix Theory and Applications, Proceedings of Symposia in Applied Math., Vol. 20 American Mathematical Society.1990Google Scholar