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A Decreasing Sequence of Eigenvalues Localization Regions


  • Juan Carlos Martínez



This paper presents an explicit construction of a decreasing sequence of disk centered at ml¸ in such a way that each disk in the sequence contains all the eigenvalues for a complex matrix A. Our sequence complement a decreasing sequence of rectangles obtained by O. Rojo, R. Soto and H. Rojo in matrix with complex entries can be made with no knowledge of the eigenvalues of the matrix.

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  • Juan Carlos Martínez, 2011. "A Decreasing Sequence of Eigenvalues Localization Regions," DOCUMENTOS DE MATEMATICA Y ESTADISTICA 008960, UNIVERSIDAD EXTERNADO DE COLOMBIA.
  • Handle: RePEc:col:000413:008960

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    localization eigenvalues; complex matrices; bounds eigenvalues;

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