Finding octonionic eigenvectors using Mathematica

DOI10.1016/S0010-4655(98)00126-XzbMath1002.65046arXivmath/9807133MaRDI QIDQ1125190

Tevian Dray, Corinne A. Manogue

Publication date: 30 November 1999

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9807133

zbMATH Keywords

eigenvalueeigenvectorsgeneralized orthogonality propertyMathematica computationsoctonionic Hermitian matrices

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (6)

Three-line theorem on the octonions ⋮ Quaternionic eigenvalue problem ⋮ Similarity and consimilarity of elements in the real Cayley-Dickson algebras. ⋮ Eigenvalue problem for symmetric \(3\times 3\) octonionic matrix ⋮ Algorithms for Finding the Roots of Some Quadratic Octonion Equations ⋮ The octonionic eigenvalue problem

Uses Software

• CLIFFORD
• Mathematica
• CLICAL

Cites Work

• Lie groups in the foundations of geometry
• A construction relating Clifford algebras and Cayley–Dickson algebras
• ON A HILBERT SPACE WITH NONASSOCIATIVE SCALARS
• On the Algebras Formed by the Cayley-Dickson Process
• The octonionic eigenvalue problem
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