When is the Hermitian/skew-Hermitian part of a matrix a potent matrix? (CROSBI ID 189497)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Ilišević, Dijana ; Thome, Nestor
engleski
When is the Hermitian/skew-Hermitian part of a matrix a potent matrix?
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: characterizations of idempotent and tripotent Hermitian matrices of a special form, and a singular value decomposition of A. In addition, a relation between the potency of H(A), respectively S(A), and the normality of A is also studied.
Hermitian part ; skew-Hermitian part ; potent matrix ; normal matrix
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Podaci o izdanju
24 (s1)
2012.
95-112
objavljeno
1537-9582
1081-3810
10.13001/1081-3810.1582