Quaternion Function Reference

isdivisor

Array elements that are divisors of zero

Syntax

TF = isdivisor(X, tol)

Description

isdivisor(X, tol) returns logical 1 (true) for array elements that are divisors of zero. This function works for quaternions and octonions (the reference below covered only the former, but the results hold for octonions).

The second parameter specifies a tolerance. If omitted the default is eps. The tolerance parameter is ignored if X is symbolic.

References

  1. Stephen J. Sangwine and Daniel Alfsmann, 'Determination of the Biquaternion Divisors of Zero, Including the Idempotents and Nilpotents', Advances in Applied Clifford Algebras, 20, (2010), 401–410. DOI: 10.1007/s00006-010-0202-3.

© 2008-2022 Stephen J. Sangwine and Nicolas Le Bihan

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