Results 21 to 30 of about 111,867 (281)
Zeros of Fekete polynomials [PDF]
, 1999 The authors study the distribution of zeros of the Fekete polynomial f_p(t) (defined for p prime) as p -> infinity. They show that asymptotically a constant fraction of the zeros lie on the unit circle, and they investigate the constant of ...
Conrey, J. Brian +3 more
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Real zeros of SONC polynomials [PDF]
Journal of Pure and Applied Algebra, 2021 Minor revision; final version; to appear in Journal of Pure and Applied Algebra; 27 pages, 3 figures, 4 ...
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An Algebraic Criterion of Zero Solutions of Some Dynamic Systems
Abstract and Applied Analysis, 2012 We establish some algebraic results on the zeros of some exponential polynomials and a real coefficient polynomial. Based on the basic theorem, we develop a decomposition technique to investigate the stability of two coupled systems and their discrete ...
Ying Wang, Baodong Zheng, Chunrui Zhang
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A note on the structure of the zeros of a polynomial and Sendov's conjecture
Cubo, 2023 In this note we prove a result that highlights an interesting connection between the structure of the zeros of a polynomial \(p(z)\) and Sendov's conjecture.
G. M. Sofi, W. M. Shah
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Annular Bounds for the Zeros of a Polynomial
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
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Zeros of unilateral quaternionic polynomials [PDF]
The Electronic Journal of Linear Algebra, 2006 The purpose of this paper is to show how the problem of finding the zeros of unilateral n-order quaternionic polynomials can be solved by determining the eigen-vectors of the corresponding companion matrix. This approach, probably superfluous in the case of quadratic equations for which a closed formula can be given, becomes truly useful for ...
De Leo, Stefano +2 more
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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
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, 2016 The array polynomial is the z-transform of the array weights for a narrowband planewave beamformer using a uniform linear array (ULA). Evaluating the array polynomial on the unit circle in the complex plane yields the beampattern.
Buck, John R, Tuladhar, Saurav R
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Improved Cauchy radius for scalar and matrix polynomials [PDF]
, 2017 We improve the Cauchy radius of both scalar and matrix polynomials, which is an upper bound on the moduli of the zeros and eigenvalues, respectively, by using appropriate polynomial multipliers.Comment: 12 ...
Berrington, Janet +12 more
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AppliedMathThis paper presents a Maple implementation of an interval verification method for identifying isolated simple zeros in square polynomial systems. Compared to the known MATLAB (R2019b) implementation, the Maple-based approach achieves significantly higher
Xiaojie Dou, Jin-San Cheng, Junyi Wen
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