Algorithms for Finding the Roots of Some Quadratic Octonion Equations

DOI10.1080/00927872.2013.780062zbMath1305.15042OpenAlexW2335719187MaRDI QIDQ5417976

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Publication date: 23 May 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2013.780062

zbMATH Keywords

octonionsMATLAB oriented algorithmsoctonionic quadratic equations

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Numerical computation of roots of polynomial equations (65H04)

Related Items (2)

Polynomial equations over octonion algebras ⋮ The least square solution with the least norm to a system of quaternion matrix equations

Uses Software

• Matlab

Cites Work

• Solving some linear equations over alternative rings
• Geršgorin type theorems for quaternionic matrices
• Finding octonionic eigenvectors using Mathematica
• Quadratic formulas for quaternions
• On an algebraic generalization of the quantum mechanical formalism
• Matrix representations of octonions and their applications
• On the eigenvalues of quaternion matrices
• The octonions
• The octonionic eigenvalue problem
• On left eigenvalues of a quaternionic matrix
• Octonionic Hermitian matrices with non-real eigenvalues
• Quaternions and matrices of quaternions

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