* Add algorithm for approximating the nth root with Newton's Method
* updating DIRECTORY.md
* Fix typos in nth_root.py documentation and code
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* Add Gauss-Seidel method implementation
Implement Gauss-Seidel method for solving linear systems.
* Update gauss-seidel-method.py
* Rename gauss-seidel-method.py to gauss_seidel_method.py
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* Rename parameters in Gauss-Seidel method
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* Enhance gauss_seidel function documentation and code style
Refactor gauss_seidel method for improved readability and clarity.
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* Enhance Gauss-Seidel method with result rounding
Added rounding to results for stable test comparison.
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* Clean up comments in Gauss-Seidel method
Removed comments related to convergence check and result rounding.
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* Add Brent's Method for root finding (numerical analysis)
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* Fix parameter names and lint issues in Brent's Method
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* Rename maths/brent_method.py to maths/numerical_analysis/brent_method.py
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* Add weierstrass_method for approximating complex roots
- Implements Durand-Kerner (Weierstrass) method for polynomial root finding
- Accepts user-defined polynomial function and degree
- Uses random perturbation of complex roots of unity for initial guesses
- Handles validation, overflow clipping, and includes doctest
* Update weierstrass_method.py
* add more tests
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* [pre-commit.ci] pre-commit autoupdate
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* Update maths/dual_number_automatic_differentiation.py
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* added runge kutta gills method
* added adams-bashforth method of order 2, 3, 4, 5
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* Remove eval from arithmetic_analysis/newton_raphson.py
* Relocate contents of arithmetic_analysis/
Delete the arithmetic_analysis/ directory and relocate its files because
the purpose of the directory was always ill-defined. "Arithmetic
analysis" isn't a field of math, and the directory's files contained
algorithms for linear algebra, numerical analysis, and physics.
Relocated the directory's linear algebra algorithms to linear_algebra/,
its numerical analysis algorithms to a new subdirectory called
maths/numerical_analysis/, and its single physics algorithm to physics/.
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