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Algorithms for quaternion polynomial root-finding

Published:2013-06 Issue:3-4 Volume:29 Page:302-322
ISSN:0885-064X
Container-title:Journal of Complexity
language:en
Short-container-title:Journal of Complexity

Author:

Kalantari Bahman

Publisher

Elsevier BV

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,General Mathematics

Reference49 articles.

1. Quaternionic Quantum Mechanics and Quantum Fields;Adler,1995

2. Iteration of Rational Functions: Complex Analytic Dynamical Systems;Beardon,1991

3. Sur les équations polynomiales dans les quaternions;Beck;Enseign. Math.,1979

4. Iteration of quaternion functions;Bedding;Amer. Math. Monthly,1996

5. The roots of a quaternion;Brand;Amer. Math. Monthly,1942

Cited by 22 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Bounds for the Zeros of a Quaternionic Polynomial with Restricted Coefficients;Advances in Applied Clifford Algebras;2024-08-07

2. Factorization and root-finding for polynomials over division quaternion algebras;Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation;2023-07-24

3. General theory of the higher-order linear quaternion q-difference equations through the quaternion determinant algorithm and the characteristic polynomial;Journal of Mathematical Physics;2023-03-01

4. Global behaviour of quaternion Riccati rational difference equation;Journal of Mathematical Analysis and Applications;2023-02

5. On the Solutions of Quaternion Difference Equations in Terms of Generalized Fibonacci-Type Numbers;Symmetry;2022-10-18

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