Singular value decomposition for skew-Takagi factorization with quantum applications

DOI10.1080/03081087.2021.2008292zbMath1514.15021OpenAlexW4200248531WikidataQ114100569 ScholiaQ114100569MaRDI QIDQ6039178

Alexander E. Teretenkov

Publication date: 3 May 2023

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

Full work available at URL: https://doi.org/10.1080/03081087.2021.2008292

zbMATH Keywords

singular value decompositionunitary congruenceskew-Takagi factorization

Mathematics Subject Classification ID

Factorization of matrices (15A23) Eigenvalues, singular values, and eigenvectors (15A18) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Cites Work

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• Singular value decomposition for the Takagi factorization of symmetric matrices
• Some observations on the Youla form and conjugate-normal matrices
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• A Normal form for a Matrix under the Unitary Congruence Group
• A Divide-and-Conquer Method for the Takagi Factorization
• Squeezed fermion states
• Irreversible quantum evolution with quadratic generator: Review
• Functions of Matrices
• Structured Factorizations in Scalar Product Spaces

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