Reciprocal polynomial

Known as: Palindromic polynomial, Reciprocal

In algebra, the reciprocal polynomial p∗ of a polynomial p of degree n with coefficients from an arbitrary field, such as is the polynomial…

Papers overview

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2019

This note describes a conjecture involving cyclotomic polynomials and some initial thoughts towards a solution. Given positive…

2016

In the vibration analysis of high speed trains arises such a palindromic quadratic eigenvalue problem (PQEP) $(\lambda^2 A^{\rm T…

2015

We present a sufficient condition for a self-inversive polynomial to have a fixed number of roots on the complex unit circle. We…

2015

2012

We establish a necessary and sufficient condition for all zeros of a self-reciprocal polynomial to lie on the unit circle…

2011

In this paper, we propose a palindromic quadratization approach, transforming a palindromic matrix polynomial of even degree to a…

2007

The purpose of this paper is to show that all zeros of the reciprocal polynomial

2004

An alternative to the classical extrapolations is proposed. The stability and the accuracy are studied. The new extrapolation…

2003

The first author [1] proved that all zeros of the reciprocal polynomial Pm(z) = m ∑ k=0 Akz k (z ∈ C), of degreem ≥ 2 with real…

Highly Cited

2002

Highly Cited

2002

The purpose of this paper is to show that all zeros of the reciprocal polynomial Pm(z) = m ∑ k=0 Akz k (z ∈ C) of degree m ≥ 2…