Opened 10 years ago
Closed 7 years ago
#12417 closed enhancement (duplicate)
extend partial_fraction_decomposition() to work on ratios of multivariate polynomials
Reported by: | araichev | Owned by: | |
---|---|---|---|
Priority: | major | Milestone: | sage-duplicate/invalid/wontfix |
Component: | categories | Keywords: | partial fraction decomposition multivariate polynomial ring |
Cc: | robertwb, malb | Merged in: | |
Authors: | Alex Raichev | Reviewers: | |
Report Upstream: | N/A | Work issues: | |
Branch: | Commit: | ||
Dependencies: | Stopgaps: |
Description
Code to the compute a partial fraction decomposition of any elements of a fraction field of a multivariate polynomial rings over a field. Extends the existing sage.categories.quotient_fields function partial_fraction_decomposition().
Attachments (3)
Change History (14)
comment:1 Changed 9 years ago by
comment:2 Changed 9 years ago by
diff --git a/sage/categories/quotient_fields.py b/sage/categories/quotient_fields.py --- a/sage/categories/quotient_fields.py +++ b/sage/categories/quotient_fields.py @@ -1052,8 +1052,8 @@ - Alex Raichev (2011-01-10) """ - from sage.structure.sequence import * - from sage.rings.polynomial.polynomial_ring_constructor import * + from sage.structure.sequence import Sequence + from sage.rings.polynomial.polynomial_ring_constructor import PolynomialRing parts = REFDSum([]) R = self.base_ring() @@ -1195,4 +1195,4 @@ if done_decomposing: return parts else: - return parts.decompose_via_nullstellensatz() \ No newline at end of file + return parts.decompose_via_nullstellensatz() diff --git a/sage/rings/polynomial/multi_polynomial_sequence.py b/sage/rings/polynomial/multi_polynomial_sequence.py --- a/sage/rings/polynomial/multi_polynomial_sequence.py +++ b/sage/rings/polynomial/multi_polynomial_sequence.py @@ -159,6 +159,7 @@ from sage.rings.polynomial.multi_polynomial_ideal import MPolynomialIdeal from sage.rings.polynomial.multi_polynomial import is_MPolynomial from sage.structure.sequence import Sequence_generic +from sage.rings.polynomial.polynomial_ring_constructor import PolynomialRing from sage.interfaces.singular import singular
gets you further. There was indeed an import missing, I wonder why we didn't catch this before?
Changed 9 years ago by
comment:3 Changed 9 years ago by
I've updated your patch accordingly.
comment:4 Changed 9 years ago by
- Status changed from new to needs_review
comment:5 in reply to: ↑ description Changed 9 years ago by
Also posted notes at http://arxiv.org/abs/1206.4740 about the mathematical background of the multivariate partial fraction decompositions involved. These are referenced in the patch.
comment:6 Changed 9 years ago by
- Owner changed from nthiery to (none)
I'd like to discard this ticket, because the patch's functionality has been subsumed by the patch for http://trac.sagemath.org/sage_trac/ticket/10519.
comment:7 Changed 8 years ago by
- Milestone changed from sage-5.11 to sage-5.12
comment:8 Changed 8 years ago by
- Milestone changed from sage-6.1 to sage-6.2
comment:9 Changed 7 years ago by
- Milestone changed from sage-6.2 to sage-6.3
comment:10 Changed 7 years ago by
- Milestone changed from sage-6.3 to sage-duplicate/invalid/wontfix
- Status changed from needs_review to positive_review
abandoned, see comment:6
comment:11 Changed 7 years ago by
- Resolution set to duplicate
- Status changed from positive_review to closed
Imports fail in decompose_via_algebraic_dependence().