Characterization of Hermitian and skew-Hermitian maps between matrix algebras
نویسندگان
چکیده
منابع مشابه
Convergence Properties of Hermitian and Skew Hermitian Splitting Methods
In this paper we consider the solutions of linear systems of saddle point problems. By using the spectrum of a quadratic matrix polynomial, we study the eigenvalues of the iterative matrix of the Hermitian and skew Hermitian splitting method.
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in this paper we consider the solutions of linear systems of saddle point problems. by using the spectrum of a quadratic matrix polynomial, we study the eigenvalues of the iterative matrix of the hermitian and skew hermitian splitting method.
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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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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: Linear Algebra and its Applications
سال: 1975
ISSN: 0024-3795
DOI: 10.1016/0024-3795(75)90064-6