Singular-value-like decomposition for complex matrix triples

DOI10.1016/j.cam.2008.02.017zbMath1186.65048OpenAlexW2091735253MaRDI QIDQ1044855

Christian Mehl, Volker Mehrmann, Hong-guo Xu

Publication date: 15 December 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.02.017

zbMATH Keywords

singular value decompositionHamiltonian matrixcanonical formTakagi factorizationcomplex symmetric matrixcomplex bilinear formcomplex skew-symmetric matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21)

Related Items (2)

Classification of linear mappings between indefinite inner product spaces ⋮ OPUC, CMV matrices and perturbations of measures supported on the unit circle

Cites Work

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• Contragredient equivalence: A canonical form and some applications
• Unitary equivalence in an indefinite scalar product: An analogue of singular-value decomposition
• A Normal form for a Matrix under the Unitary Congruence Group
• Matrix Analysis
• Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations
• Elementary Divisors of AB and BA

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