Cubic formulas for computing the zeros of certain quaternionic polynomial

DOI10.1002/mma.4304zbMath1368.12001OpenAlexW2581002549MaRDI QIDQ4977849

Yan Tang, Ming-Sheng Liu

Publication date: 17 August 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4304

zbMATH Keywords

solving polynomial equationquaternioncubic formulaNiven's algorithm

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Polynomials in general fields (irreducibility, etc.) (12E05) Equations in general fields (12E12) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Cites Work

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• Zeros of two-sided quadratic quaternion polynomials
• On sets of zeroes of Clifford algebra-valued polynomials
• A new method for roots of monic quaternionic quadratic polynomial
• Quadratic formulas for quaternions
• Zeros of unilateral quaternionic polynomials
• On the Structure of the Set of Zeros of Quaternionic Polynomials
• Equations in Quaternions
• The Roots of a Quaternion
• The “fundamental theorem of algebra” for quaternions
• On left eigenvalues of a quaternionic matrix
• Computing the zeros of quaternion polynomials.

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