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The equality of the Siler cones \(K_3\) and \(K_4\), the general case

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Publication:616409
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DOI10.1016/j.laa.2010.09.039zbMath1209.15033OpenAlexW2073892850MaRDI QIDQ616409

Russell T. Potter, David H. Carlson, Richard D. Hill

Publication date: 7 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.09.039


zbMATH Keywords

coneHermitian matriceseigenvaluespositive semidefinite matricespositive semidefinite-preserving


Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Linear transformations, semilinear transformations (15A04) Linear preserver problems (15A86)




Cites Work

  • On the completely positive and positive-semidefinite-preserving cones
  • The Jordan canonical form of a product of a Hermitian and a positive semidefinite matrix
  • Completely positive and Hermitian-preserving linear transformations
  • Matricial inner products and pointed cones of Hermitian-preserving linear transformations
  • On a lattice of Hermitian-preserving cones.
  • Inertia theorems for matrices: the semidefinite case


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