Spectral Characterizations for Hermitian Centrosymmetric K-Matrices and Hermitian Skew-Centrosymmetric K-Matrices

DOI10.1137/S0895479802418835zbMath1062.15004MaRDI QIDQ4650946

Mark Yasuda

Publication date: 21 February 2005

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesspectrumToeplitz matrixHankel matrixcomplex Hilbert spacecentrosymmetric matrixskew-centrosymmetric matrixself-adjoint compact linear operators

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Linear operators defined by compactness properties (47B07) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Spectrum, resolvent (47A10)

Related Items (16)

Algorithms for solving the inverse problem associated with \(KAK=A^{s+1}\) ⋮ The inverse eigenproblem with a submatrix constraint and the associated approximation problem for \((R,S)\)-symmetric matrices ⋮ Characterization and properties of \((R,S_\sigma)\)-commutative matrices ⋮ Relations between \(\{ K; s+1\} \)-potent matrices and different classes of complex matrices ⋮ An inverse eigenproblem and an associated approximation problem for generalized reflexive and anti-reflexive matrices ⋮ Submatrix Constrained Inverse Eigenvalue Problem involving Generalised Centrohermitian Matrices in Vibrating Structural Model Correction ⋮ On the spectral structure of Jordan-Kronecker products of symmetric and skew-symmetric matrices ⋮ Characterization and properties of matrices with \(k\)-involutory symmetries ⋮ Spectral study of \(\{ R, s + 1, k \}\)- and \(\{R, s + 1, k, \ast \}\)-potent matrices ⋮ Characterization and properties of matrices with \(k\)-involutory symmetries. II ⋮ Characterization and properties of \((P_\sigma, Q)\) symmetric and co-symmetric matrices ⋮ Spectral distribution of families of Hankel matrices ⋮ Inverse eigenproblem for \(R\)-symmetric matrices and their approximation ⋮ Generalized reflexive solutions of the matrix equation \(AXB=D\) and an associated optimal approximation problem ⋮ A system of real quaternion matrix equations with applications ⋮ Generalized centro-invertible matrices with applications

This page was built for publication: Spectral Characterizations for Hermitian Centrosymmetric K-Matrices and Hermitian Skew-Centrosymmetric K-Matrices