Eigenvalue Inequalities and Schubert Calculus

نویسندگان

  • Uwe Helmke
  • Joachim Rosenthal
چکیده

Using techniques from algebraic topology we derive linear inequalities which relate the spectrum of a set of Hermitian matrices A1, . . . , Ar ∈ Cn×n with the spectrum of the sum A1 + · · ·+Ar. These extend eigenvalue inequalities due to Freede-Thompson and Horn for sums of eigenvalues of two Hermitian matrices.

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تاریخ انتشار 2006