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A Decreasing Sequence of Eigenvalues Localization Regions

Author

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  • Juan Carlos Martínez

Abstract

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.

Suggested Citation

  • Juan Carlos Martínez, 2011. "A Decreasing Sequence of Eigenvalues Localization Regions," Documentos de Matemática y Estadística 8960, Universidad Externado de Colombia.
    • Handle: RePEc:col:000413:008960
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    File URL: http://portal.uexternado.edu.co/irj/go/km/docs/documents/UExternado/pdf/1_principal/Matematicas/MyE2.pdf
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