The characteristic polynomial in calculation of exponential and elementary functions in Clifford algebras

DOI10.1002/MMA.9524MaRDI QIDQ6619364

Arturas Acus, A. Dargys

Publication date: 15 October 2024

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

zbMATH Keywords

Clifford (geometric) algebracomputer-aided theoryexponential of Clifford numberfunction of multivector

Mathematics Subject Classification ID

Quadratic and bilinear forms, inner products (15A63) Quadratic spaces; Clifford algebras (11E88) Matrix exponential and similar functions of matrices (15A16)

Cites Work

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• Square root of a multivector in 3D Clifford algebras
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• Classroom Note:A Simple Proof of the Leverrier--Faddeev Characteristic Polynomial Algorithm
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• Classification of Lie algebras of specific type in complexified Clifford algebras
• On the exponentials of some structured matrices
• Square Root and Logarithm of Rotors in 3D Conformal Geometric Algebra Using Polar Decomposition
• Exponentials of general multivector in 3D Clifford algebras
• Exponential and logarithm of multivector in low-dimensional (n = p + q < 3) Clifford algebras
• On the exponential of matrices insu(4)
• Functions of Matrices
• Graded symmetry groups: plane and simple

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