Anti-diagonals of symmetric and skew symmetric matrices with prescribed eigenvalues

  • Yan W
  • Tam T
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The complete relationship between the kth anti-diagonals and the eigenvalues of an n×n (k≤n) real symmetric matrix is obtained. When k is even, the relationship is weak majorization. The Hermitian case is also studied. Similar results are obtained for real and complex skew symmetric matrices. © 2012 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • Eigenvalues
  • Weak majorization
  • kth Anti-diagonal

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  • Wen Yan

  • Tin Yau Tam

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