Clifford Multivector Toolbox (for MATLAB)

被引:0
作者
Stephen J. Sangwine
Eckhard Hitzer
机构
[1] University of Essex,School of Computer Science and Electronic Engineering
来源
Advances in Applied Clifford Algebras | 2017年 / 27卷
关键词
Primary 68-04; Secondary 11E88; 15A66; MATLAB; Software library; Toolbox; Clifford algebra;
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摘要
matlab® is a numerical computing environment oriented towards manipulation of matrices and vectors (in the linear algebra sense, that is arrays of numbers). Until now, there was no comprehensive toolbox (software library) for matlab to compute with Clifford algebras and matrices of multivectors. We present in the paper an account of such a toolbox, which has been developed since 2013, and released publically for the first time in 2015. The paper describes the major design decisions made in implementing the toolbox, gives implementation details, and demonstrates some of its capabilities, up to and including the LU decomposition of a matrix of Clifford multivectors.
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页码:539 / 558
页数:19
相关论文
共 4 条
[1]  
Le Bihan N.(2007)Jacobi method for quaternion matrix singular value decomposition Appl. Math. Comput. 187 1265-1271
[2]  
Sangwine S.J.(2006)Quaternion singular value decomposition based on bidiagonalization to a real or complex matrix using quaternion householder transformations Appl. Math. Comput. 182 727-738
[3]  
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