This paper examines matrices A is an element of C-nxn such that RA = A(s+1) R where R-k = I, the identity matrix, and where sand k are nonnegative integers with k >= 2. Spectral theory is used to characterize these matrices. ...
The generalized singular value decomposition (GSVD) and the lifting technique combined with the Kronecker product are exploited to find reflexive and anti-reflexive (with respect to a generalized k+1-reflection matrix P) ...
Ilisevic, Dijana; Thome, Néstor(ILAS–the International Linear Algebra Society, 2012)
[EN] This paper deals with the Hermitian H(A) and skew-Hermitian part S(A) of a
complex matrix A. We characterize all complex matrices A such that H(A), respectively S(A), is a potent matrix. Two approaches are used: ...