Results 21 to 30 of about 302,926 (303)

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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On the Location of Zeros of Polynomials

American Journal of Computational Mathematics, 2011
In this paper, we prove some extensions and generalizations of the classical Enestrom-Kakeya theorem.
Gulshan Singh, Wali Mohammad Shah
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An annulus for the zeros of polynomials

Applied Mathematics Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Bidkham, E. Shashahani
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Preserving Zeros of a Polynomial [PDF]

Communications in Algebra, 2009
We study non-linear surjective mappings on subsets of ${\cal M}_n(F)$, which preserve the zeros of some fixed polynomials in noncommuting variables. Keywords: Matrix algebra, Multilinear polynomials, Preservers.
Guterman, A., Kuzma, B.
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Multiplicity of zeros of polynomials [PDF]

Journal of Approximation Theory, 2021
The paper grew out of the known result of \textit{P. Erdős} and \textit{P. Túran} [Ann. Math. (2) 41, 162--173 (1940; Zbl 0023.02201)] on zero distributions and bounds for their multiplicities of monic polynomials with all their zeros in \([-1,1]\). Theorem 1.1.
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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, Beites P. D., Vitória José   +2 more
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On the Zeros of Polynomials

Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1977
1. Govil and Rahman [1, Theorem 1] have proved the fol- lowing theorem.n Theorem A. Let p (z) = £ aj^ k“0 z’^ ( 0) be a polynomiai ofdegree n with complex coefficients such that for some a>«-1 I a^ •11-2 a' I »ol-Then p (z) has ali its zeros in |z Kj, where Kj is the greatest positive root of the trinomial equation K"+ı - 2K" + 1 =
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A Maple Implementation for Deterministically Certifying Isolated Simple Zeros of Over-Determined Polynomial Systems with Interval Arithmetic and Its Applications

AppliedMath
This 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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On the Zeroes of a Polynomial

Journal of Approximation Theory, 1995
Improving on a result of \textit{J. L. Walsh} [Ann. Math., II. Ser. 25, 285-296 (1924; JFM 50.0045.03)], the author offers the inequality \[ |z+ (a_{n- 1}/2)|\leq |a_{n- 1} |/2+ \Biggl[\sum^n_{j= 2} |a_{n- j}|(\max_{2\leq k\leq n} |a_{n- k}|^{(2- j)/k})^{1/2}\Biggr] \] for zeroes of \(\sum^{n- 1}_{j= 0} a_j z^j+ z^n\) \((n\geq 2)\).
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Convergence of Comonotone Histopolating Splines

Mathematical Modelling and Analysis, 2015
The convergence rate of histopolation on an interval with combined splines of class C1 having linear/linear rational or quadratic polynomial pieces is studied.
Helle Hallik, Peeter Oja
doaj   +1 more source