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On an extension of Fu-Markham matrix theory result to simple Euclidean Jordan algebras

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Publication:338924
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DOI10.1007/s10479-013-1464-7zbMath1354.15028OpenAlexW1988224604MaRDI QIDQ338924

Jiyuan Tao, Bo Zhong, Yong-Qiang Chen

Publication date: 7 November 2016

Published in: Annals of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10479-013-1464-7


zbMATH Keywords

eigenvalueHermitian matrixEuclidean Jordan algebraCauchy interlacing theoremSchur-complement Cauchy interlacing theorem


Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)




Cites Work

  • Unnamed Item
  • Some inequalities involving determinants, eigenvalues, and Schur complements in Euclidean Jordan algebras
  • Some P-properties for linear transformations on Euclidean Jordan algebras
  • Schur complements, Schur determinantal and Haynsworth inertia formulas in Euclidean Jordan algebras
  • On the eigenvalues and diagonal entries of a Hermitian matrix
  • The Cauchy interlacing theorem in simple Euclidean Jordan algebras and some consequences


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