Results 1 to 10 of about 1,536 (263)
Annular Bounds for the Zeros of a Polynomial [PDF]
International Journal of Mathematics and Mathematical Sciences, 2018 The problem of obtaining the smallest possible region containing all the zeros of a polynomial has been attracting more and more attention recently, and in this paper, we obtain several results providing the annular regions that contain all the zeros of ...
Le Gao, N. K. Govil
doaj +3 more sources
Zeros of quaternion polynomials
Applied Mathematics Letters, 2001 For each \(q \in \mathbb H\) let \([q]\) be the equivalence class of all elements \(q'\) having the form \(xqx^{-1}\) with some \(x \in \mathbb H\). Then the authors show that for a quaternionic polynomial of the form \(f(x) = (x - x_1)\dots (x - x_n)\) the subset \(\text{zero}(f) \cap [x_r]\) is nonempty for each \(r\).
Rogerio Serôdio
exaly +2 more sources
Location of zeros of polynomials
Mathematical and Computer Modelling, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chadia Affane-Aji +2 more
exaly +3 more sources
On the Zeros of Exponential Polynomials
Journal of the ACM, 2023 We consider the problem of deciding the existence of real roots of real-valued exponential polynomials with algebraic coefficients. Such functions arise as solutions of linear differential equations with real algebraic coefficients. We focus on two problems: theZero Problem, which asks whether an exponential polynomial has a real root, and theInfinite ...
Ventsislav Chonev +2 more
openaire +3 more sources
A condition for associativity of univariate resultants
Examples and Counterexamples, 2023 We provide a condition on the occurrences of variables in polynomials and show that it ensures associativity of univariate resultants in non-trivial cases.
D.A. Wolfram
doaj +1 more source
On the Elementary Symmetric Polynomials and the Zeros of Legendre Polynomials
Journal of Mathematics, 2022 In this paper, we seek to present some new identities for the elementary symmetric polynomials and use these identities to construct new explicit formulas for the Legendre polynomials.
Maryam Salem Alatawi
doaj +1 more source
Location of zeros of Wiener and distance polynomials. [PDF]
PLoS ONE, 2012 The geometry of polynomials explores geometrical relationships between the zeros and the coefficients of a polynomial. A classical problem in this theory is to locate the zeros of a given polynomial by determining disks in the complex plane in which all ...
Matthias Dehmer, Aleksandar Ilić
doaj +1 more source
Location of the Zeros of Certain Complex-Valued Harmonic Polynomials
Journal of Mathematics, 2022 Finding the approximate region containing all the zeros of analytic polynomials is a well-studied problem. But the number of the zeros and regions containing all the zeros of complex-valued harmonic polynomials is relatively a fresh research area.
Hunduma Legesse Geleta +1 more
doaj +1 more source
On the Eneström–Kakeya theorem for quaternionic polynomials
Comptes Rendus. Mathématique, 2023 In this paper, we present certain results concerning the distribution of zeros of polynomials of a quaternionic variable and with quaternionic coefficients. We obtain ring shaped regions of Eneström–Kakeya type for the zeros of these polynomials and also
Mir, Abdullah, Ahmad, Abrar
doaj +1 more source
Bounds for the zeros of unilateral octonionic polynomials
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In the present work it is proved that the zeros of a unilateral octonionic polynomial belong to the conjugacy classes of the latent roots of an appropriate lambda-matrix.
Serôdio Rogério +2 more
doaj +1 more source