Results 21 to 30 of about 5,932 (309)
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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A two-variable approach to solve the polynomial Lyapunov equation [PDF]
, 2001 A two-variable polynomial approach to solve the one-variable polynomial Lyapunov equation is proposed. Lifting the problem from the one-variable to the two-variable context allows to use Faddeev-type recursions in order to solve the polynomial Lyapunov ...
Peeters, Ralf +4 more
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On polynomial transformations preserving purely imaginary zeros [PDF]
, 2023 In this present work polynomial transformations are identified that preserve the property of the polynomials having all zeros lying on the imaginary axis. Existence results concerning families of polynomials whose generalized Mellin transforms have zeros
Hindmarsh, J. L. +3 more
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Asymptotic behaviour of zeros of bieberbach polynomials [PDF]
, 1990 Let Ω be a simply-connected domain in the complex plane and let πn denote the nth-degree Bieberbach polynomial approximation to the conformal map f of Ω onto a disc.
Saff, E B +5 more
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Time-relevant 2D behaviors [PDF]
, 2011 In this work we present some results on 2D behaviors described by linear constant coefficient partial difference equations where one of the independent variables, “time”, is distinguished and plays a special role. We call such systems ‘time-relevant’. We
Paolo Rapisarda +5 more
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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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Lifting/Descending Processes for Polynomial Zeros [PDF]
, 2000 The recently proposed Chebyshev-like lifting map for the zeros of a univariate polynomial was motivated by its applications to splitting a univariate polynomial p(z) numerically into factors, which is a major step of some most efficient algorithms for ...
Mourrain, Bernard, Pan, Victor Y.
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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 +2 more
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