Bounds for absolute values and imaginary parts of matrix eigenvalues via traces

• Gil', Michael ^[1]
  1. [1] Ben Gurion University of the Negev.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 41, Nº. 5, 2022, págs. 1229-1237
• Idioma: inglés
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• Resumen

  • Let λ1(A), λ2(A), ..., λn(A) be the eigenvalues of an n × n-matrix A taken with their algebraic multiplicities. We suggest new bounds for |λj (A) − trace(A)/ n | and |Im λj (A) − Im trace(A)/n | (j = 1, ..., n), which refine the previously published results.