Some Bounds of the Zeros of Polynomials Based on the QR-Decomposition and the LU-Decomposition of the Frobenius Companion Matrix

Ammar S. Issa, Omar M. Bdair

Abstract


In this paper, new bounds of zeros of polynomials of the monic polynomial of order $n$ will be introduced by applying famous matrix norms to the QR-decomposition of $C(p)$. The LU decomposition of $C(p)$ will be investigated and will be used to find more bounds of the zeros of $p(z)$.

Full Text: PDF DOI: 10.5539/jmr.v6n1p33

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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