Geodesic
On ranges of Lyapunov transformations IV†
Glasgow mathematical journal, Tome 17 (1976) no. 2, pp. 112-118

Voir la notice de l'article provenant de la source Cambridge University Press

Let Cn,n denote the space of n × n matrices with complex entries and let Hn denote the set of n × n hermitian matrices. Given any matrix A∊Cn,n, the Lyapunov transformation corresponding to A is defined by IA(H) = AH+HA*, where H∊Hn. Let PSD(n) be the set of all n × n hermitian positive semidefinite matrices. Taussky [8, 9] raised the problems of determiningandBoth of these problems seem to be difficult. 
Loewy, Raphael. On ranges of Lyapunov transformations IV†. Glasgow mathematical journal, Tome 17 (1976) no. 2, pp. 112-118. doi: 10.1017/S0017089500002822
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