Python LinearSystem Exemples

Exemple #1

Fichier : test_system.py Projet : HuichuanLI/play-with-Linear-Algebra

from playLA.Matrix import Matrix
from playLA.Vector import Vector
from playLA.LinearSystem import LinearSystem
from playLA.LinearSystem1 import *

if __name__ == "__main__":

    A = Matrix([[1, 2, 4], [3, 7, 2], [2, 3, 3]])
    b = Vector([7, -11, 1])
    ls = LinearSystem(A, b)
    ls.gauss_jordan_elimination()
    ls.fancy_print()
    print()

    A2 = Matrix([[1, -3, 5], [2, -1, -3], [3, 1, 4]])
    b2 = Vector([-9, 19, -13])
    ls2 = LinearSystem(A2, b2)
    ls2.gauss_jordan_elimination()
    ls2.fancy_print()
    print()

    A3 = Matrix([[1, 2, -2], [2, -3, 1], [3, -1, 3]])
    b3 = Vector([6, -10, -16])
    ls3 = LinearSystem(A3, b3)
    ls3.gauss_jordan_elimination()
    ls3.fancy_print()
    print()

    A4 = Matrix([[3, 1, -2], [5, -3, 10], [7, 4, 16]])
    b4 = Vector([4, 32, 13])
    ls4 = LinearSystem(A4, b4)

Exemple #2

Fichier : main_linear_system.py Projet : ishinvi/Linear-Algebra-Learn

from playLA.LinearSystem import LinearSystem
from playLA.Matrix import Matrix
from playLA.Vector import Vector

if __name__ == "__main__":
    A = Matrix([[1, 2, 4], [3, 7, 2], [2, 3, 3]])
    b = Vector([7, -11, 1])
    ls = LinearSystem(A, b)
    ls.gauss_jordan_elimination()
    ls.fancy_print()

    A2 = Matrix([[1, -3, -5], [2, -1, -3], [3, 1, 4]])
    b2 = Vector([-9, 19, -13])
    ls2 = LinearSystem(A2, b2)
    ls2.gauss_jordan_elimination()
    ls2.fancy_print()

Exemple #3

Fichier : main_linear_system.py Projet : DaoLinZhou/learning-linear-algebra

from playLA.LinearSystem import LinearSystem
from playLA.LinearSystem import inv, rank
from playLA.Matrix import Matrix
from playLA.Vector import Vector

if __name__ == '__main__':
    A1 = Matrix([[1, 2, 4], [3, 7, 2], [2, 3, 3]])
    b = Vector([7, -11, 1])
    ls = LinearSystem(A1, b)
    ls.gauss_jordan_elimination()
    ls.fancy_print()

    print()

    # 测试更加一般化的高斯约旦消元法
    A2 = Matrix([[1, -1, 2, 0, 3],
                 [-1, 1, 0, 2, -5],
                 [1, -1, 4, 2, 4],
                 [-2, 2, -5, -1, -3]])
    b2 = Vector([1, 5, 13, -1])
    ls2 = LinearSystem(A2, b2)
    ls2.gauss_jordan_elimination()
    ls2.fancy_print()

    print()

    A3 = Matrix([[2, 2],
                 [2, 1],
                 [1, 2]])
    b3 = Vector([3, 2.5, 7])
    ls3 = LinearSystem(A3, b3)

Exemple #4

from playLA.Matrix import Matrix
from playLA.Vector import Vector
from playLA.LinearSystem import LinearSystem, inv, rank

if __name__ == "__main__":

    A = Matrix([[1, 2, 4], [3, 7, 2], [2, 3, 3]])
    b = Vector([7, -11, 1])
    ls = LinearSystem(A, b)
    ls.gauss_jordan_elimination()
    ls.fancy_print()

    A7 = Matrix([[1, -1, 2, 0, 3], [-1, 1, 0, 2, -5], [1, -1, 4, 2, 4],
                 [-2, 2, -5, -1, -3]])
    b7 = Vector([1, 5, 13, -1])
    ls7 = LinearSystem(A7, b7)
    ls7.gauss_jordan_elimination()
    ls7.fancy_print()
    print()

    A8 = Matrix([[2, 2], [2, 1], [1, 2]])
    b8 = Vector([3, 2.5, 7])
    ls8 = LinearSystem(A8, b8)
    if not ls8.gauss_jordan_elimination():
        print("No Solution!")
    ls8.fancy_print()
    print()

    A9 = Matrix([[1, 2], [3, 4]])
    invA = inv(A9)
    print(invA)

Exemple #5

from playLA.Matrix import Matrix
from playLA.Vector import Vector
from playLA.LinearSystem import LinearSystem


if __name__ == "__main__":

    A1 = Matrix([[1, -3, 5], [2, -1, -3], [3, 1, 4]])
    b1 = Vector([-9, 19, -13])
    ls1 = LinearSystem(A1, b1)
    ls1.gauss_jordan_elimination()
    ls1.fancy_print()
    print()

    A2 = Matrix([[1, 1, 1], [1, -1, -1], [2, 1, 5]])
    b2 = Vector([3, -1, 8])
    ls2 = LinearSystem(A2, b2)
    ls2.gauss_jordan_elimination()
    ls2.fancy_print()
    print()

    A3 = Matrix([[1, 2, -2], [2, -3, 1], [3, -1, 3]])
    b3 = Vector([6, -10, -16])
    ls3 = LinearSystem(A3, b3)
    ls3.gauss_jordan_elimination()
    ls3.fancy_print()
    print()

    A4 = Matrix([[3, 1, -2], [5, -3, 10], [7, 4, 16]])
    b4 = Vector([4, 32, 13])
    ls4 = LinearSystem(A4, b4)

Exemple #6

Fichier : main_linear_system.py Projet : zhujunqing/Play-with-Linear-Algebra

from playLA.Matrix import Matrix
from playLA.Vector import Vector
from playLA.LinearSystem import LinearSystem

if __name__ == "__main__":

    A = Matrix([[1, 2, 4], [3, 7, 2], [2, 3, 3]])
    b = Vector([7, -11, 1])
    ls = LinearSystem(A, b)
    ls.gauss_jordan_elimination()
    ls.fancy_print()
    print()

    A2 = Matrix([[1, -3, 5], [2, -1, -3], [3, 1, 4]])
    b2 = Vector([-9, 19, -13])
    ls2 = LinearSystem(A2, b2)
    ls2.gauss_jordan_elimination()
    ls2.fancy_print()
    print()

    A3 = Matrix([[1, 2, -2], [2, -3, 1], [3, -1, 3]])
    b3 = Vector([6, -10, -16])
    ls3 = LinearSystem(A3, b3)
    ls3.gauss_jordan_elimination()
    ls3.fancy_print()
    print()

    A4 = Matrix([[3, 1, -2], [5, -3, 10], [7, 4, 16]])
    b4 = Vector([4, 32, 13])
    ls4 = LinearSystem(A4, b4)
    ls4.gauss_jordan_elimination()

Exemple #7

Fichier : main_linear_system.py Projet : charlieDJ/LinearAlgebra

from playLA.LinearSystem import LinearSystem, inv
from playLA.Matrix import Matrix
from playLA.Vector import Vector

if __name__ == '__main__':
    A = Matrix([[1, 2, 4], [3, 7, 2], [2, 3, 3]])
    b = Vector([7, -11, 1])
    ls = LinearSystem(A, b)
    elimination = ls.gauss_jordan_elimination()
    if not elimination:
        print("No solution")
    else:
        print("has solution")
    ls.fancy_print()

    A = Matrix([[1, 2], [3, 4]])
    invA = inv(A)
    print(invA)