When is the hermitian/skew-hermitian part of a matrix a potent matrix?
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چکیده
منابع مشابه
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 the form [ X Y ∗ Y 0 ] , and a singular value decomposition of A. In addition, a relation between the potency of H(A)...
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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 the form [ X Y ∗ Y 0 ] , and a singular value decomposition of A. In addition, a relation between the potency of H(A)...
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ژورنال
عنوان ژورنال: The Electronic Journal of Linear Algebra
سال: 2012
ISSN: 1081-3810
DOI: 10.13001/1081-3810.1582