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On ranges of Lyapunov transformations IV†

Published online by Cambridge University Press:  18 May 2009

Raphael Loewy
Raphael Loewy
Affiliation:
Mathematics Research Center, University of Wisconsin-Madison
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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 determining

and

Both of these problems seem to be difficult.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 17 , Issue 2 , July 1976 , pp. 112 - 118
Copyright
Copyright © Glasgow Mathematical Journal Trust 1976

References

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