Semi Stability Factors

نویسندگان

  • Daniel Hershkowitz
  • Dale Olesky
چکیده

A (semistability) factor [semifactor] of a matrix AE r: nn is a positive definite [positive semidefinite] matrix H such that AH + HA* is positive semidefinite. We give three proofs to show that if A has a semistability factor then it cannot be unique. We give necessary and sufficient conditions for a matrix H to be a (semi)factor of a given matrix. We also determine the dimension of the cone of semistability factors.

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تاریخ انتشار 2009