Conjugate-normal matrices: A survey

DOI10.1016/j.laa.2008.03.009zbMath1168.15020OpenAlexW2137858364MaRDI QIDQ947604

Khakim D. Ikramov, Heike Fassbender

Publication date: 6 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.03.009

zbMATH Keywords

survey paperconeigenvalueconsimilarityconjugate-normal matrixunitary congruenceconinvariant subspaceYoula theoremconcommutation

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21) Research exposition (monographs, survey articles) pertaining to linear algebra (15-02)

Related Items (14)

On the Sylvester-like matrix equation \(AX+f(X)B=C\) ⋮ Antilinear operators and special matrices ⋮ Unitary congruence to a conjugate-normal matrix ⋮ Congruences and unitary congruences in matrix theory ⋮ Congruence criteria for normal and conjugate-normal matrices ⋮ Quadratically normal and congruence-normal matrices ⋮ Orthogonal sets of normal or conjugate-normal matrices ⋮ Consimilarity of quaternions and coneigenvalues of quaternion matrices ⋮ On tridiagonal matrices unitarily equivalent to normal matrices ⋮ Some inequalities for coneigenvalues ⋮ $C$--normal operators ⋮ Normal completions of block partial matrices ⋮ OPUC, CMV matrices and perturbations of measures supported on the unit circle ⋮ A note on an unusual type of generalized polar decomposition

Cites Work

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• A note on an unusual type of polar decomposition
• Normal matrices
• Normal matrices: an update
• A normality criterion for an algebra of matrices
• Conditionality and expected error for two methods of computing the pseudo-eigenvalues of a complex matrix
• Normal Form of Antiunitary Operators
• A Normal form for a Matrix under the Unitary Congruence Group
• Canonical Form for Matrices Under Unitary Congruence Transformations. II: Congruence-Normal Matrices
• Canonical Form for Matrices Under Unitary Congruence Transformations. I: Conjugate-normal Matrices

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