Abstract
We examine two distinct ways in which Clifford algebra can be effectively utilized in linear algebra, offering new tools and new insight into this most basic area of mathematics.
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References
G. Sobczyk, Mappings of Surfaces in Euclidean Space Using Geometric Algebra (Thesis), Ariz. State Univ., Tempe, AZ (1971).
D. Hestenes, G. Sobczyk, ‘Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics ’, Kluwer, Dordrecht, 1984.
G. E. Sobczyk, ‘Unipotents, Idempotents, and a Spinor Basis for Matrices ’, Advances in Applied Clifford Algebras Vol. 2, No. 1 (1992), 53–62.
G. E. Sobczyk, ‘Jordan Form in Clifford Algebras ’, Clifford Algebras and their Applications in Mathematical Physics, Proceedings of the Third International Clifford Algebras Workshop, Edited by Fred Brackx, Richard Delanghe, and Herman Serras, Kluwer, Dordrecht, (1993), 33–41.
G. E. Sobczyk, ‘Jordan Form in Associative Algebras ’, Twistors, Spinors, and Clifford Algebras, Proceedings of the Second Max Born Seminar Series, Edited by Z. Oziewicz, B. Jancewicz, and A. Borowiec, Kluwer, Dordrecht, (1993), 357–364.
D. Hestenes, ‘The Design of Linear Algebra and Geometry ’, Acta Applicandea Mathematicae 23: 65–93, 1991, Kluwer Academic Publishers.
H. W. Turnbull and A. C. Aitken, ‘An Introduction to the Theory of Canonical Matrices ’, Dover Publications, Inc., 1969.
F. R. Gantmacher, ‘Matrix Theory ’, Vol. 1, Chelsea Publishing Company, New York, 1960.
W. H. Greub, ‘Linear Algebra ’, Springer-Verlag, New York Inc. 1967.
A. Crumeyrolle, ‘Algèbres de Clifford et spineurs ’, Université Paul Sabatier, Toulouse, 1974.
A. Crumeyrolle, ‘Orthogonal and Symplectic Clifford Algebras, Spinor Structures ’, Kluwer Academic Publishers, Dordrecht, 1990.
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© 1995 Springer Science+Business Media Dordrecht
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Sobczyk, G. (1995). Clifford Algebra Techniques in Linear Algebra. In: Ablamowicz, R., Lounesto, P. (eds) Clifford Algebras and Spinor Structures. Mathematics and Its Applications, vol 321. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8422-7_5
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DOI: https://doi.org/10.1007/978-94-015-8422-7_5
Publisher Name: Springer, Dordrecht
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