Opened 6 years ago

Last modified 6 weeks ago

#22539 needs_work enhancement

normalized p_minimal_polynomials

Reported by: rrissner Owned by:
Priority: major Milestone:
Component: linear algebra Keywords:
Cc: ​cheuberg Merged in:
Authors: Roswitha Rissner Reviewers: Aly Deines
Report Upstream: N/A Work issues:
Branch: u/aly.deines/normalized_p_minimal_polynomials (Commits, GitHub, GitLab) Commit: 15cba83012ecaa38d5bb9127c9e0b3b3c16f4e3a
Dependencies: Stopgaps:

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Description (last modified by rrissner)

In general (p^t)-minimal polynomials of a matrix B are not uniquely determined but two different (p^t)-minimal polynomials are congruent modulo p (N_{p^{t-1})}(B) where N_{(p^{t-1})}(B) is (p^{t-1})-ideal of B.

The new method normalize_nu computes the representative whose coefficients are minimal among \{0, \ldots, p^t-1\}.

Note: The new method p_t_part(f, p, t) replaces p_part(f, p) with t = 1.

Change History (9)

comment:1 Changed 6 years ago by rrissner

Cc: ​cheuberg added
Component: PLEASE CHANGElinear algebra
Description: modified (diff)
Type: PLEASE CHANGEenhancement

comment:2 Changed 6 years ago by rrissner

Branch: u/rrissner/normalized_p_minimal_polynomials

comment:3 Changed 6 years ago by rrissner

Commit: b096cc2c70572cde1407c887ae4818119e972156
Status: newneeds_review

New commits:

b096cc2normalize_nu, p_part replaced by p_t_part

comment:4 Changed 6 years ago by saraedum

Status: needs_reviewneeds_work
Work issues: author is missing

rrissner, I could not find your handle on the wiki home page.

comment:5 Changed 6 years ago by rrissner

Authors: Roswitha Rissner

comment:6 Changed 6 years ago by rrissner

Status: needs_workneeds_review

comment:7 Changed 5 years ago by aly.deines

Branch: u/rrissner/normalized_p_minimal_polynomialsu/aly.deines/normalized_p_minimal_polynomials

comment:8 Changed 5 years ago by aly.deines

Commit: b096cc2c70572cde1407c887ae4818119e97215615cba83012ecaa38d5bb9127c9e0b3b3c16f4e3a
Reviewers: Aly Deines
Status: needs_reviewneeds_work
Work issues: author is missing

Hi! I've been looking at your ticket. The code looks great. I have a few comments/questions about the documentation.

  • First, in the method normalize_nu, you don't have any examples or tests of this function. You only have an indirect doctest. You should have tests such that every line of code is run via one of the tests.
  • In the normalize_nu documentation you should try to keep lines to 79 characters or less (72 is prefered for documentation in the python PEP 8 style guide.)
  • In the documentation, I think B should be self
    - ``nu`` -- a `(p^t)`-minimal polynomial of `B`
  • Also, what is S?
    - ``p_min_polys`` -- a dictionary, keys are elements `s \in \mathcal{S}` with
      `s \le t`, the values are the associated normalized `(p^s)`-minimal 
      polynomials `\nu_s`
  • Finally, in the doctest you currently have, you should indicate that it is an indirect doctest.

New commits:

fb743b4Merging branch 'u/rrissner/normalized_p_minimal_polynomials' of git:// into t/22539/normalized_p_minimal_polynomials to sage 8.1.beta3.
15cba83Removed trailing whitespace.

comment:9 Changed 6 weeks ago by mkoeppe

Milestone: sage-7.6
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