Scalar–vector algorithm for the roots of quadratic quaternion polynomials, and the characterization of quintic rational rotation-minimizing frame curves-Reference-Cited by-同舟云学术

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Scalar–vector algorithm for the roots of quadratic quaternion polynomials, and the characterization of quintic rational rotation-minimizing frame curves

Published:2013-11 Issue: Volume:58 Page:1-17
ISSN:0747-7171
Container-title:Journal of Symbolic Computation
language:en
Short-container-title:Journal of Symbolic Computation

Author:

Farouki Rida T.,Dospra Petroula,Sakkalis Takis

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference31 articles.

1. A History of Vector Analysis;Crowe,1967

2. Computations in the ring of quaternionic polynomials;Damiano;Journal of Symbolic Computation,2010

3. Zeros of unilateral quaternionic polynomials;de Leo;Electronic Journal of Linear Algebra,2006

4. The “fundamental theorem of algebra” for quaternions;Eilenberg;Bulletin of the American Mathematical Society,1944

Cited by 5 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. Roots of quaternion polynomials: Theory and computation;Theoretical Computer Science;2019-12

2. New Developments in Theory, Algorithms, and Applications for Pythagorean–Hodograph Curves;Advanced Methods for Geometric Modeling and Numerical Simulation;2019

3. Complex Roots of Quaternion Polynomials;Applications of Computer Algebra;2017

4. Solution of a quadratic quaternion equation with mixed coefficients;Journal of Symbolic Computation;2016-05

5. Rational rotation-minimizing frames—Recent advances and open problems;Applied Mathematics and Computation;2016-01

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