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- W2149492162 abstract "In this paper, disks containing some, or all zeros of a complex polynomial or eigenvalues of a complex matrix are developed. These disks are based on extensions of Cauchy classical bounds, Perron-Probenius theory of positive matrices, and Gerschgorin theory. As a special case, given a real polynomial with real maximum or minimum zero, intervals containing the extreme zeros are developed. Moreover, methods for computing or refining these intervals are derived. Additionally, a closed form singular value decomposition of a characteristic polynomial was derived and utilized to compute new bounds for the zeros of polynomials. Finally, bounds that are based on zero transformation are given." @default.
- W2149492162 created "2016-06-24" @default.
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- W2149492162 date "2004-01-01" @default.
- W2149492162 modified "2023-09-23" @default.
- W2149492162 title "Inequalities and bounds for the zeros of polynomials using Perron-Frobenius and Gerschgorin theories" @default.
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- W2149492162 doi "https://doi.org/10.23919/acc.2004.1383881" @default.
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