On Lyapunov Scaling Factors of Real Symmetric Matrices
نویسندگان
چکیده
A real square matrix A is said to be Lyapunov diagonally semistable if there exists a positive definite diagonal matrix D, called a Lyapunov scaling factor of A, such that the matrix AD + DAT is positive semidefinite, Lyapunov diagonally semistable matrices play an important role in applications in several disciplines, and have been studied in many matrix theoretical papers, see for example [2] for some references. In this paper we mainly discuss real Hermitian (symmetric) matrices. The problem of characterizing Lyapunov diagonally semistable symmetric matrices is easy. Clearly, every positive semidefinite
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