本文整理汇总了Python中sympy.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.Matrix
的用法示例。
在下文中一共展示了Matrix.jordan_form方法的3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: _show_jordan_blocks
# 需要导入模块: from sympy import Matrix [as 别名]
# 或者: from sympy.Matrix import jordan_form [as 别名]
def _show_jordan_blocks(R):
assert_equal(len(R.shape), 2)
assert_equal(R.shape[0], R.shape[1])
n = R.shape[0]
entries = R.flatten().tolist()
m = Matrix(n, n, entries)
P, J = m.jordan_form()
print('rate matrix:')
print(m)
print('jordan blocks:')
print(J)
示例2: test_jordan_form
# 需要导入模块: from sympy import Matrix [as 别名]
# 或者: from sympy.Matrix import jordan_form [as 别名]
def test_jordan_form():
m = Matrix(3,2,[-3, 1, -3, 20, 3, 10])
raises(NonSquareMatrixError, 'm.jordan_form()')
# diagonalizable
m = Matrix(3, 3, [7, -12, 6, 10, -19, 10, 12, -24, 13])
Jmust = Matrix(3, 3, [1, 0, 0, 0, 1, 0, 0, 0, -1])
(P, J) = m.jordan_form()
assert Jmust == J
assert Jmust == m.diagonalize()[1]
#m = Matrix(3, 3, [0, 6, 3, 1, 3, 1, -2, 2, 1])
#m.jordan_form() # very long
# m.jordan_form() #
# diagonalizable, complex only
# Jordan cells
# complexity: one of eigenvalues is zero
m = Matrix(3, 3, [0, 1, 0, -4, 4, 0, -2, 1, 2])
Jmust = Matrix(3, 3, [2, 0, 0, 0, 2, 1, 0, 0, 2])
assert Jmust == m.jordan_form()[1]
(P, Jcells) = m.jordan_cells()
assert Jcells[0] == Matrix(1, 1, [2])
assert Jcells[1] == Matrix(2, 2, [2, 1, 0, 2])
#complexity: all of eigenvalues are equal
m = Matrix(3, 3, [2, 6, -15, 1, 1, -5, 1, 2, -6])
Jmust = Matrix(3, 3, [-1, 0, 0, 0, -1, 1, 0, 0, -1])
(P, J) = m.jordan_form()
assert Jmust == J
#complexity: two of eigenvalues are zero
m = Matrix(3, 3, [4, -5, 2, 5, -7, 3, 6, -9, 4])
Jmust = Matrix(3, 3, [1, 0, 0, 0, 0, 1, 0, 0, 0])
(P, J) = m.jordan_form()
assert Jmust == J
m = Matrix(4, 4, [6, 5, -2, -3, -3, -1, 3, 3, 2, 1, -2, -3, -1, 1, 5, 5])
Jmust = Matrix(4, 4, [2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2])
(P, J) = m.jordan_form()
assert Jmust == J
m = Matrix(4, 4, [6, 2, -8, -6, -3, 2, 9, 6, 2, -2, -8, -6, -1, 0, 3, 4])
Jmust = Matrix(4, 4, [2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, -2])
(P, J) = m.jordan_form()
assert Jmust == J
m = Matrix(4, 4, [5, 4, 2, 1, 0, 1, -1, -1, -1, -1, 3, 0, 1, 1, -1, 2])
assert not m.is_diagonalizable()
Jmust = Matrix(4, 4, [1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 1, 0, 0, 0, 4])
(P, J) = m.jordan_form()
assert Jmust == J
示例3: print
# 需要导入模块: from sympy import Matrix [as 别名]
# 或者: from sympy.Matrix import jordan_form [as 别名]
#coding--utf-8
import numpy as np
from sympy import Matrix
f=open("/home/alber/experiment/20140721/topic_matric_30.txt",'r')
topic=[]
for line in f.readlines():
line_list=line.split()
topic.append(line_list[1:])
print (len(topic))
print (len(topic[1]))
m=Matrix(topic)
(p,j)=m.jordan_form()
print (len(j))