Normal matrices

DOI10.1016/0024-3795(87)90168-6zbMath0613.15021OpenAlexW4206092473MaRDI QIDQ1088757

Eduardo Marques de Sá, Charles R. Johnson, Henry Wolkowicz, Robert D. Grone

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90168-6

zbMATH Keywords

eigenvalues polynomials invariant subspaces matrix equations singular values Moore-Penrose inverse commutativity normal matrix trace formulas skew-Hermitian Hermitian normality conditions polar factors inner product equations pencil eigenvalues

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

Construction of unitary and normal companion matrices, Nonnegative normal matrices, Structure-preserving diagonalization of matrices in indefinite inner product spaces, On optimal symmetric orthogonalisation and square roots of a normal matrix, On digraphs with polygonal restricted numerical range, Commutativity-preserving and normal-preserving linear transformations on, Normal matrices subordinate to a tree and flat portions of the field of values, On the classes of D-normal operators and D-quasi-normal operators on Hilbert space, Normal matrices and their principal submatrices of co-order one, Unitary congruence to a conjugate-normal matrix, An operator inequality and matrix normality, Normal matrices subordinate to a graph, Conditioning and relative error propagation in linear autonomous ordinary differential equations, A Resolvent Criterion for Normality, Normal matrices: an update, A condensed representation of almost normal matrices, An unusual criterion for normality of nonsingular matrices, Analysis of the Parallel Schwarz Method for Growing Chains of Fixed-Sized Subdomains: Part I, Unnamed Item, Imaginary axis eigenvalues of Hamiltonian matrix: controllability, defectiveness and the ϵ-characteristic, Characterizations of EP, normal, and Hermitian matrices, On semigroups of normal matrices, Unitary similarity to a normal matrix, Products of symplectic normal matrices, Exponential stability of switched block triangular systems under arbitrary switching, New characterizations of EP, generalized normal and generalized Hermitian elements in rings, Block tridiagonal reduction of perturbed normal and rank structured matrices, Words and normality of matrices, Two sets of new characterizations for normal and EP matrices., Calcolo degli autovalori di matrici tridiagonali non normali, A characterization of normal matrices by their exponentials, Field of optimal quotients and Hermitianity, A note on an unusual type of polar decomposition, Computing pseudospectra using block implicitly restarted Arnoldi iteration, Quadratically normal and congruence-normal matrices, Normal-preserving linear transformations, Conjugate-normal matrices: A survey, On the banded Toeplitz structured distance to symmetric positive semidefiniteness, Unnamed Item, Normal matrices and polar decompositions indefinite inner products, Structured distance to normality of tridiagonal matrices, Computing eigenvalues of normal matrices via complex symmetric matrices, On tridiagonal matrices unitarily equivalent to normal matrices, Aspects of nonnormality for iterative methods, Simple forms for perplectic and symplectic normal matrices, On the existence of Schur-like forms for matrices with symmetry structures, Hyponormal and strongly hyponormal matrices in inner product spaces, Classes of normal matrices in indefinite inner products, Characterizations of normal, hyponormal and EP operators, Products of positive definite symplectic matrices, A comparison between the complex symmetric based and classical computation of the singular value decomposition of normal matrices, A new series of conjectures and open questions in optimization and matrix analysis, Operators polynomially isometric to a normal operator, Computing the closest real normal matrix and normal completion, Moore-Penrose-invertible normal and Hermitian elements in rings., Operators with minimal pseudospectra and connections to normality, The structured distance to normality of banded Toeplitz matrices, Characterizations and linear combinations of \(k\)-generalized projectors, On normal matrices of zeros and ones with fixed row sum, A note on nonnegative normal matrices, Destabilising nonnormal stochastic differential equations, On linear operators for which TTD is normal, The topology of nilpotent representations in reductive groups and their maximal compact subgroups., A continuous Jacobi-like approach to the simultaneous reduction of real matrices, Perturbations of non-diagonalizable stochastic matrices with preservation of spectral properties

Cites Work