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Fix Gaussian elimination pivoting #11393

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MaximSmolskiy
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Describe your change:

Fix Gaussian elimination pivoting and warning:

linear_algebra/src/gaussian_elimination_pivoting/gaussian_elimination_pivoting.py::linear_algebra.src.gaussian_elimination_pivoting.gaussian_elimination_pivoting.solve_linear_system
  /home/runner/work/Python/Python/linear_algebra/src/gaussian_elimination_pivoting/gaussian_elimination_pivoting.py:55: RuntimeWarning: invalid value encountered in scalar divide
    ab[i, column_num - 1]

on build Run tests stage

  • Add an algorithm?
  • Fix a bug or typo in an existing algorithm?
  • Add or change doctests? -- Note: Please avoid changing both code and tests in a single pull request.
  • Documentation change?

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  • I have read CONTRIBUTING.md.
  • This pull request is all my own work -- I have not plagiarized.
  • I know that pull requests will not be merged if they fail the automated tests.
  • This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms.
  • All new Python files are placed inside an existing directory.
  • All filenames are in all lowercase characters with no spaces or dashes.
  • All functions and variable names follow Python naming conventions.
  • All function parameters and return values are annotated with Python type hints.
  • All functions have doctests that pass the automated testing.
  • All new algorithms include at least one URL that points to Wikipedia or another similar explanation.
  • If this pull request resolves one or more open issues then the description above includes the issue number(s) with a closing keyword: "Fixes #ISSUE-NUMBER".

@algorithms-keeper algorithms-keeper bot added the tests are failing Do not merge until tests pass label Aug 25, 2024
@MaximSmolskiy
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@tianyizheng02 please review

@algorithms-keeper algorithms-keeper bot removed the tests are failing Do not merge until tests pass label Aug 25, 2024

# Upper triangular matrix
if ab[column_num, column_num] == 0.0:
raise ValueError("Matrix is not correct")
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@tianyizheng02 tianyizheng02 Aug 25, 2024

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Can we have the error say "Matrix is singular" instead? "Not correct" is very vague. (This will need to be updated in the function docstring as well.)

/ ab[column_num - 1, column_num - 1]
* ab[column_num - 1, :]
)
assert num_of_rows == num_of_columns
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Instead of an assert, let's just have the function raise a ValueError instead.

pass

# Upper triangular matrix
if ab[column_num, column_num] == 0.0:
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Should there be a tolerance for this comparison? That is, is there a risk that floating-point errors can cause this check to incorrectly fail?

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2 participants