本文整理汇总了Python中sympy.matrices.Matrix.jordan_form方法的典型用法代码示例。如果您正苦于以下问题：Python Matrix.jordan_form方法的具体用法？Python Matrix.jordan_form怎么用？Python Matrix.jordan_form使用的例子？那么恭喜您, 这里精选的方法代码示例或许可以为您提供帮助。您也可以进一步了解该方法所在类sympy.matrices.Matrix的用法示例。
在下文中一共展示了Matrix.jordan_form方法的1个代码示例，这些例子默认根据受欢迎程度排序。您可以为喜欢或者感觉有用的代码点赞，您的评价将有助于系统推荐出更棒的Python代码示例。
示例1: test_jordan_form
# 需要导入模块: from sympy.matrices import Matrix [as 别名]
# 或者: from sympy.matrices.Matrix import jordan_form [as 别名]
def test_jordan_form():
m = Matrix(3, 2, [-3, 1, -3, 20, 3, 10])
raises(NonSquareMatrixError, lambda: m.jordan_form())
# the next two tests test the cases where the old
# algorithm failed due to the fact that the block structure can
# *NOT* be determined from algebraic and geometric multiplicity alone
# This can be seen most easily when one lets compute the J.c.f. of a matrix that
# is in J.c.f already.
m = EigenOnlyMatrix(4, 4, [2, 1, 0, 0,
0, 2, 1, 0,
0, 0, 2, 0,
0, 0, 0, 2
])
P, J = m.jordan_form()
assert m == J
m = EigenOnlyMatrix(4, 4, [2, 1, 0, 0,
0, 2, 0, 0,
0, 0, 2, 1,
0, 0, 0, 2
])
P, J = m.jordan_form()
assert m == J
A = Matrix([[ 2, 4, 1, 0],
[-4, 2, 0, 1],
[ 0, 0, 2, 4],
[ 0, 0, -4, 2]])
P, J = A.jordan_form()
assert simplify(P*J*P.inv()) == A
assert EigenOnlyMatrix(1,1,[1]).jordan_form() == (Matrix([1]), Matrix([1]))
assert EigenOnlyMatrix(1,1,[1]).jordan_form(calc_transform=False) == Matrix([1])
# make sure if we cannot factor the characteristic polynomial, we raise an error
m = Matrix([[3, 0, 0, 0, -3], [0, -3, -3, 0, 3], [0, 3, 0, 3, 0], [0, 0, 3, 0, 3], [3, 0, 0, 3, 0]])
raises(MatrixError, lambda: m.jordan_form())
# make sure that if the input has floats, the output does too
m = Matrix([
[ 0.6875, 0.125 + 0.1875*sqrt(3)],
[0.125 + 0.1875*sqrt(3), 0.3125]])
P, J = m.jordan_form()
assert all(isinstance(x, Float) or x == 0 for x in P)
assert all(isinstance(x, Float) or x == 0 for x in J)