Zeros of quaternion polynomials
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Publication:5938908
DOI10.1016/S0893-9659(00)00142-7zbMath0979.30030OpenAlexW1998863384MaRDI QIDQ5938908
Publication date: 7 August 2001
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0893-9659(00)00142-7
Functions of hypercomplex variables and generalized variables (30G35) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)
Related Items (24)
Newton method in the context of quaternion analysis ⋮ On roots of quaternion polynomials. ⋮ An iterative method to compute the dominant zero of a quaternionic unilateral polynomial ⋮ Quaternionic eigenvalue problem ⋮ Estimation of bounds for the zeros of polynomials and regular functions with quaternionic coefficients ⋮ Solution of a quadratic quaternion equation with mixed coefficients ⋮ On the zero bounds of polynomials and regular functions of a quaternionic variable ⋮ Algorithms for quaternion polynomial root-finding ⋮ Scalar-vector algorithm for the roots of quadratic quaternion polynomials, and the characterization of quintic rational rotation-minimizing frame curves ⋮ Complex Roots of Quaternion Polynomials ⋮ Zeros of regular functions of quaternionic and octonionic variable: a division lemma and the camshaft effect ⋮ Some new quaternionic quadratics with zeros in terms of second order quaternion recurrences ⋮ The number of zeros of unilateral polynomials over coquaternions revisited ⋮ Zeros of two-sided quadratic quaternion polynomials ⋮ Similarity reduction of matrix over a quaternion division ring ⋮ A UNIFIED ANALYSIS OF LINEAR QUATERNION DYNAMIC EQUATIONS ON TIME SCALES ⋮ Evaluation schemes in the ring of quaternionic polynomials ⋮ A Cauchy kernel for slice regular functions ⋮ Factoring skew polynomials over Hamilton's quaternion algebra and the complex numbers ⋮ On the Eneström-Kakeya theorem for quaternionic polynomials ⋮ Zeros of regular functions and polynomials of a quaternionic variable ⋮ Floquet theory for quaternion-valued differential equations ⋮ Poles of regular quaternionic functions ⋮ Computations in the ring of quaternionic polynomials
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