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Commit 4841828

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Remove separate directory for gaussian_elimination_pivoting.py (TheAlgorithms#11445)
* updating DIRECTORY.md * Remove separate directory for gaussian_elimination_pivoting.py Delete the directory linear_algebra/src/gaussian_elimination_pivoting/ and move its algorithm file, gaussian_elimination_pivoting.py, into the parent src/ directory. The gaussian_elimination_pivoting/ directory only exists because gaussian_elimination_pivoting.py reads an example numpy array from matrix.txt, but this input file and IO operation is entirely unnecessary because gaussian_elimination_pivoting.py already has the exact same array hard-coded into a variable. * updating DIRECTORY.md --------- Co-authored-by: tianyizheng02 <tianyizheng02@users.noreply.github.com>
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‎DIRECTORY.md‎

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* [Lu Decomposition](linear_algebra/lu_decomposition.py)
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* Src
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* [Conjugate Gradient](linear_algebra/src/conjugate_gradient.py)
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* Gaussian Elimination Pivoting
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* [Gaussian Elimination Pivoting](linear_algebra/src/gaussian_elimination_pivoting/gaussian_elimination_pivoting.py)
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* [Gaussian Elimination Pivoting](linear_algebra/src/gaussian_elimination_pivoting.py)
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* [Lib](linear_algebra/src/lib.py)
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* [Polynom For Points](linear_algebra/src/polynom_for_points.py)
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* [Power Iteration](linear_algebra/src/power_iteration.py)

linear_algebra/src/gaussian_elimination_pivoting/gaussian_elimination_pivoting.py renamed to linear_algebra/src/gaussian_elimination_pivoting.py

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import numpy as np
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matrix = np.array(
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[
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[5.0, -5.0, -3.0, 4.0, -11.0],
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[1.0, -4.0, 6.0, -4.0, -10.0],
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[-2.0, -5.0, 4.0, -5.0, -12.0],
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[-3.0, -3.0, 5.0, -5.0, 8.0],
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],
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dtype=float,
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)
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def solve_linear_system(matrix: np.ndarray) -> np.ndarray:
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"""
@@ -87,15 +77,18 @@ def solve_linear_system(matrix: np.ndarray) -> np.ndarray:
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if __name__ == "__main__":
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from doctest import testmod
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from pathlib import Path
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testmod()
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file_path = Path(__file__).parent / "matrix.txt"
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try:
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matrix = np.loadtxt(file_path)
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except FileNotFoundError:
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print(f"Error: {file_path} not found. Using default matrix instead.")
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# Example usage:
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print(f"Matrix:\n{matrix}")
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print(f"{solve_linear_system(matrix) = }")
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example_matrix = np.array(
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[
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[5.0, -5.0, -3.0, 4.0, -11.0],
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[1.0, -4.0, 6.0, -4.0, -10.0],
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[-2.0, -5.0, 4.0, -5.0, -12.0],
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[-3.0, -3.0, 5.0, -5.0, 8.0],
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],
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dtype=float,
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)
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print(f"Matrix:\n{example_matrix}")
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print(f"{solve_linear_system(example_matrix) = }")

‎linear_algebra/src/gaussian_elimination_pivoting/__init__.py‎

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‎linear_algebra/src/gaussian_elimination_pivoting/matrix.txt‎

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