Some Bounds of the Zeros of Polynomials Based on the QR-Decomposition and the LU-Decomposition of the Frobenius Companion Matrix
- Ammar Issa
- Omar 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:
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- DOI:10.5539/jmr.v6n1p33
This work is licensed under a Creative Commons Attribution 4.0 License.
- ISSN(Print): 1916-9795
- ISSN(Online): 1916-9809
- Started: 2009
- Frequency: quarterly
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