A Decreasing Sequence of Eigenvalues Localization Regions

Juan Carlos Martínez

No 8960, Documentos de Matemática y Estadística from Universidad Externado de Colombia

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.

Keywords: localization eigenvalues; complex matrices; bounds eigenvalues (search for similar items in EconPapers)
Date: 2011-09-06
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Persistent link: https://EconPapers.repec.org/RePEc:col:000413:008960

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