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Librería de métodos numéricos para sistemas de ecuaciones lineales y no lineales

Project description

AA23028UNO

Librería de métodos numéricos para resolver sistemas de ecuaciones lineales y no lineales.

Métodos implementados

  • Eliminación de Gauss
  • Gauss-Jordan
  • Cramer
  • Descomposición LU
  • Jacobi
  • Gauss-Seidel
  • Bisección

Instalación

pip install AA23028UNO

Ejemplo de uso general

import numpy as np
from AA23028UNO import *

A = np.array([[2,1,-1],[ -3,-1,2],[ -2,1,2]], dtype=float)
b = np.array([8, -11, -3], dtype=float)

x = gauss_elimination(A, b)
print(x)

Ejemplos de cada método

Eliminación de Gauss

x = gauss_elimination(A, b)
print("Gauss:", x)

Gauss-Jordan

x = gauss_jordan(A, b)
print("Gauss-Jordan:", x)

Cramer

x = cramer(A, b)
print("Cramer:", x)

Descomposición LU

x = lu_decomposition(A, b)
print("LU:", x)

Jacobi

x = jacobi(A, b)
print("Jacobi:", x)

Gauss-Seidel

x = gauss_seidel(A, b)
print("Gauss-Seidel:", x)

Bisección

def f(x):
    return x**3 - x - 2
root = bisection(f, 1, 2)
print("Bisección:", root)

Consulta examples.py para más ejemplos y casos de uso.

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