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 $p(z)$.


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