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Unitary similarity to a complex symmetric matrix and its extension to orthogonal symmetric Lie algebras

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Publication:389637
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DOI10.1016/j.laa.2011.08.003zbMath1305.15081OpenAlexW2072421862WikidataQ115344759 ScholiaQ115344759MaRDI QIDQ389637

Tin-Yau Tam, Brice M. Nguelifack, Xuhua Liu

Publication date: 21 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.08.003

zbMATH Keywords

unitary similaritycomplex symmetric matrixorthogonal symmetric Lie algebra of the compact type


Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Compact groups (22C05)


Related Items

A study of inverse problems based on two kinds of special matrix equations in Euclidean space, Toeplitz matrices are unitarily similar to symmetric matrices



Cites Work

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  • Orthogonal similarity of a real matrix and its transpose
  • Unitary equivalence to a complex symmetric matrix: an algorithm
  • Unitary equivalence of a matrix to its transpose
  • Unitary equivalence to a complex symmetric matrix: a modulus criterion
  • Matrix Analysis
  • The Toeplitz-Hausdorff Theorem and Ellipticity Conditions
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