search

pygae / clifford

Geometric Algebra for Python
http://clifford.rtfd.io
BSD 3-Clause "New" or "Revised" License
769 stars 72 forks source link

Implement Shirokov's arbitrary metric inverse #369

Open hugohadfield opened 4 years ago

hugohadfield commented 4 years ago

This should hopefully allow us to extend the current linalg free inverse method to arbitrary algebras, details in this paper: https://arxiv.org/pdf/2005.04015.pdf

hugohadfield commented 4 years ago

Specifically Theorem 4 on page 16 looks like the section we might think about implementing

donhatch commented 4 weeks ago

Specifically Theorem 4 on page 16 looks like the section we might think about implementing

Good job finding the (surprisingly short) algorithm buried in the Shirokov paper; I couldn't even find it until I saw your comment above.

And maybe it's equivalent to what is described in Theorem 3 on page 4 of this other more recent paper? (It's not completely clear to me yet):

Dimiter Prodanov "Algorithmic computation of multivector inverses and characteristic polynomials in non-degenerate Clifford algebras" https://vixra.org/pdf/2306.0009v1.pdf