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法律研究在 Python 中计算 N 维数组的逆矩阵
要计算 N 维数组的逆矩阵，可以使用 Python 中的 numpy.linalg.tensorinv() 方法。结果是相对于 tensordot 操作 tensordot(a, b, ind) 的 a 的逆矩阵，即，在浮点精度范围内，tensordot(tensorinv(a), a, ind) 是 tensordot 操作的“单位”张量。
该方法返回 a 的 tensordot 逆矩阵，形状为 a.shape[ind:] + a.shape[:ind]。第一个参数是 a，要“反转”的张量。它的形状必须是“方形”，即 prod(a.shape[:ind]) == prod(a.shape[ind:])。第二个参数是 ind，参与逆和运算的前几个索引的数量。必须是正整数，默认为 2。
步骤
首先，导入所需的库 -
import numpy as np from numpy.linalg import inv
创建一个数组。numpy.eye() 返回一个二维数组，对角线上的元素为 1，其他位置的元素为 0 -
arr = np.eye(4*6)
更改上面创建的数组的形状 -
arr.shape = (4, 6, 8, 3)
显示数组 -
print("Our Array...
",arr)
检查维度 -
print("
Dimensions of our Array...
",arr.ndim)获取数据类型 -
print("
Datatype of our Array object...
",arr.dtype)获取形状 -
print("
Shape of our Array object...
",arr.shape)要计算 N 维数组的逆矩阵，可以使用 Python 中的 numpy.linalg.tensorinv() 方法 -
print("
Result...
",np.linalg.tensorinv(arr))
示例
import numpy as np
from numpy.linalg import inv
# Create an array
# The numpy.eye() returns a 2-D array with ones on the diagonal and zeros elsewhere
arr = np.eye(4*6)
# Changing the shape of the array created above
arr.shape = (4, 6, 8, 3)
# Display the array
print("Our Array...
",arr)
# Check the Dimensions
print("
Dimensions of our Array...
",arr.ndim)
# Get the Datatype
print("
Datatype of our Array object...
",arr.dtype)
# Get the Shape
print("
Shape of our Array object...
",arr.shape)
# To compute the inverse of an N-dimensional array, use the numpy.linalg.tensorinv() method in Python.
print("
Result...
",np.linalg.tensorinv(arr))输出
Our Array... [[[[1. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.]] [[0. 1. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.]] [[0. 0. 1.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.]] [[0. 0. 0.] [1. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.]] [[0. 0. 0.] [0. 1. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.]] [[0. 0. 0.] [0. 0. 1.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.]]] [[[0. 0. 0.] [0. 0. 0.] [1. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.]] [[0. 0. 0.] [0. 0. 0.] [0. 1. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.]] [[0. 0. 0.] [0. 0. 0.] [0. 0. 1.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.]] [[0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [1. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.]] [[0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 1. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.]] [[0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 1.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.]]] [[[0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [1. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.]] [[0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 1. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.]] [[0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 1.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.]] [[0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [1. 0. 0.] [0. 0. 0.] [0. 0. 0.]] [[0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 1. 0.] [0. 0. 0.] [0. 0. 0.]] [[0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 1.] [0. 0. 0.] [0. 0. 0.]]] [[[0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [1. 0. 0.] [0. 0. 0.]] [[0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 1. 0.] [0. 0. 0.]] [[0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 1.] [0. 0. 0.]] [[0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [1. 0. 0.]] [[0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 1. 0.]] [[0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.] [0. 0. 1.]]]] Dimensions of our Array... 4 Datatype of our Array object... float64 Shape of our Array object... (4, 6, 8, 3) Result... [[[[1. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.]] [[0. 1. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.]] [[0. 0. 1. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.]]] [[[0. 0. 0. 1. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.]] [[0. 0. 0. 0. 1. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.]] [[0. 0. 0. 0. 0. 1.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.]]] [[[0. 0. 0. 0. 0. 0.] [1. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.]] [[0. 0. 0. 0. 0. 0.] [0. 1. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.]] [[0. 0. 0. 0. 0. 0.] [0. 0. 1. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.]]] [[[0. 0. 0. 0. 0. 0.] [0. 0. 0. 1. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.]] [[0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 1. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.]] [[0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 1.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.]]] [[[0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [1. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.]] [[0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 1. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.]] [[0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 1. 0. 0. 0.] [0. 0. 0. 0. 0. 0.]]] [[[0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 1. 0. 0.] [0. 0. 0. 0. 0. 0.]] [[0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 1. 0.] [0. 0. 0. 0. 0. 0.]] [[0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 1.] [0. 0. 0. 0. 0. 0.]]] [[[0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [1. 0. 0. 0. 0. 0.]] [[0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 1. 0. 0. 0. 0.]] [[0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 1. 0. 0. 0.]]] [[[0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 1. 0. 0.]] [[0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 1. 0.]] [[0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 0.] [0. 0. 0. 0. 0. 1.]]]]
更新于: 2022-02-25
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