Eigen-decomposition of quaternions

DOI10.1007/s00006-018-0911-6zbMath1431.30037OpenAlexW2897840289WikidataQ129157616 ScholiaQ129157616MaRDI QIDQ1990571

Roger M. Oba

Publication date: 25 October 2018

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-018-0911-6

zbMATH Keywords

idempotenteigenvectorsnilpotentbiquaternionquaternion function theory

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (1)

Biquaternion extensions of analytic functions

Cites Work

• Fundamentals of bicomplex pseudoanalytic function theory: Cauchy integral formulas, negative formal powers and Schrödinger equations with complex coefficients
• Fundamental representations and algebraic properties of biquaternions or complexified quaternions
• Biquaternion (complexified quaternion) roots of \(- 1\)
• Real matrix representations for the complex quaternions
• The construction of spinors in geometric algebra
• Contributions to the theory of functions of a bicomplex variable
• Bicomplex Numbers and their Elementary Functions
• Quaternion Fourier Transforms for Signal and Image Processing
• Quaternions: Further contributions to a matrix oriented approach
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