Opened 4 years ago
Closed 4 years ago
#22789 closed enhancement (fixed)
Jacobians of transition maps
| Reported by: | egourgoulhon | Owned by: | mmancini |
|---|---|---|---|
| Priority: | major | Milestone: | sage-8.0 |
| Component: | geometry | Keywords: | manifold, transition_map, Jacobian |
| Cc: | Merged in: | ||
| Authors: | Eric Gourgoulhon | Reviewers: | Marco Mancini |
| Report Upstream: | N/A | Work issues: | |
| Branch: | 3c3c725 (Commits, GitHub, GitLab) | Commit: | 3c3c7257bfd6a66a053184d8f074c96c01f2eb8b |
| Dependencies: | Stopgaps: |
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Description
New methods jacobian and jacobian_det are implemented in the class DiffCoordChange managing transition maps on differentiable manifolds; they return respectively the Jacobian matrix and the Jacobian determinant of the transition map.
Besides, the Jacobian determinant is no longer computed at each creation of a transition map, but only on demand. The computational method itself, implemented in MultiCoordFunction.jacobian_det, has been improved. It relies now on the standard determinant of matrices and no longer on the cofactor method. The latter was implemented as a workaround to a bug in symbolic charpoly (fixed in #14403) but had a serious performance issue in high dimensions (n > 4), as reported
here.
Change History (5)
comment:1 Changed 4 years ago by
- Branch set to public/manifolds/jacobian-22789
- Commit set to 3c3c7257bfd6a66a053184d8f074c96c01f2eb8b
- Status changed from new to needs_review
comment:2 Changed 4 years ago by
- Owner changed from (none) to mmancini
comment:3 Changed 4 years ago by
- Status changed from needs_review to positive_review
comment:4 Changed 4 years ago by
- Reviewers set to Marco Mancini
comment:5 Changed 4 years ago by
- Branch changed from public/manifolds/jacobian-22789 to 3c3c7257bfd6a66a053184d8f074c96c01f2eb8b
- Resolution set to fixed
- Status changed from positive_review to closed
New commits:
Add methods jacobian() and jacobian_det() to class DiffCoordChange