Matrices with multiple symmetry properties: applications of centro-Hermitian and per-Hermitian matrices

DOI10.1016/S0024-3795(98)10144-1zbMath0957.15019WikidataQ127976951 ScholiaQ127976951MaRDI QIDQ1124756

Irwin S. Pressman

Publication date: 28 November 1999

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Steiner triple systemskew-symmetric matrixskew-Hermitian matrixcentrosymmetric matrixsymmetric patternspersymmetric matrixbasis of eigenvectorscentro-Hermitian matrixmatrix patternsper-Hermitian matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45) Orthogonalization in numerical linear algebra (65F25)

Related Items

Left and right inverse eigenpairs problem for \(\kappa\)-Hermitian matrices ⋮ Matrix inverse problem and its optimal approximation problem for \(R\)-symmetric matrices ⋮ Comparison of linear and non-linear monotonicity-based shape reconstruction using exact matrix characterizations ⋮ Constrained inverse eigenproblem and associated approximation problem for anti-Hermitian \(R\)-symmetric matrices ⋮ Perturbing eigenvalues of nonnegative centrosymmetric matrices ⋮ Characterization and properties of \((R,S_\sigma)\)-commutative matrices ⋮ Inertias and ranks of some Hermitian matrix functions with applications ⋮ Characterization and properties of matrices with generalized symmetry or skew symmetry. ⋮ Inverse eigenproblems and associated approximation problems for matrices with generalized symmetry or skew symmetry. ⋮ Highly symmetric generalized circulant permutation matrices ⋮ On the Centro-symmetric Solution of a System of Matrix Equations over a Regular Ring with Identity ⋮ On the spectral analysis of second-order Markov chains ⋮ Hermitian, Hermitian \(R\)-symmetric, and Hermitian \(R\)-skew symmetric Procrustes problems ⋮ Characterization and properties of matrices with \(k\)-involutory symmetries ⋮ \(P\)-(skew)symmetric common solutions to a pair of quaternion matrix equations ⋮ Matrices \(A\) such that \(A^{s+1}R\) = \(RA^\ast\) with \(R^k = I\) ⋮ The left and right inverse eigenvalue problems of generalized reflexive and anti-reflexive matrices ⋮ Characterization and properties of matrices with \(k\)-involutory symmetries. II ⋮ Multilevel matrices with involutory symmetries and skew symmetries ⋮ Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations ⋮ The general solution to a system of real quaternion matrix equations ⋮ Computing the least-square solutions for centrohermitian matrix problems ⋮ Left and right inverse eigenpairs problem of skew-centrosymmetric matrices ⋮ Equilibrium asset pricing and the cross section of expected returns ⋮ Left and right inverse eigenpairs problem with a submatrix constraint for the generalized centrosymmetric matrix ⋮ Left and right inverse eigenpairs problem of generalized centrosymmetric matrices and its optimal approximation problem ⋮ Preconditioners for Symmetrized Toeplitz and Multilevel Toeplitz Matrices ⋮ Spectral inclusion sets for structured matrices ⋮ Second-order cone and semidefinite methods for the bisymmetric matrix approximation problem ⋮ A system of four matrix equations over von Neumann regular rings and its applications ⋮ Approximating Matrices with Multiple Symmetries

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Real eigenvalues of nonnegative matrices which commute with a symmetric matrix involution
• On the reducibility of centrosymmetric matices - applications in engineering problems
• Centrohermitian and skew-centrohermitian matrices
• On \(\kappa\)-real and \(\kappa\)-Hermitian matrices
• Eigenvalues and eigenvectors of symmetric centrosymmetric matrices
• Some combinatorial properties of centrosymmetric matrices
• Eigenvectors of certain matrices
• ON CENTROSYMMETRIC AND CENTROSKEW MATRICES
• On Centrohermitian Matrices
• On Perhermitian Matrices
• Centrosymmetric (Cross-Symmetric) Matrices, Their Basic Properties, Eigenvalues, and Eigenvectors
• Inflation Matrices and ZME-Matrices that Commute with a Permutation Matrix
• The Inverse of a Centrosymmetric Matrix
• Toeplitz Matrix Inversion: The Algorithm of W. F. Trench