Object-Oriented Implementations of Clifford Algebras in C++: A Prototype

Arvind Raja ()
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Arvind Raja: Helsinki University of Technology (HUT), Institute of Mathematics

A chapter in Clifford Algebras with Numeric and Symbolic Computations, 1996, pp 295-315 from Springer

Abstract: Abstract This paper describes an evolving library of data types and algorithms for numerical Clifford algebra computations. C++ classes for representing elements of a Clifford algebra Cℓp,q are presented. Examples illustrating use of the library are included. These implementations will form the computation engine of a new interactive program, which is also under development. The library illustrates how “high level” mathematical descriptions can be implemented, elegantly and efficiently, in a “low level” programming language. This is achieved by using the object-oriented features supported by C++ (data abstraction, operator overloading and many others) At the time of writing, fundamental operations with elements of a Clifford algebra Cℓp,q can be performed. Routines for evaluating transcendental functions of Clifford elements, via matrix functions, are evolving.

Keywords: Clifford algebras; object-oriented programming; C++ (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-8157-4_20

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DOI: 10.1007/978-1-4615-8157-4_20

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