Python中返回一维多项式系数数组的伴随矩阵

要返回一维多项式系数数组的伴随矩阵，请使用Python Numpy中的polynomial.polycompanion()方法。对于幂级数来说，伴随矩阵无法通过调整基向量来进行对称化，因此该函数与正交多项式的函数不同。该方法返回维度为(deg, deg)的伴随矩阵。参数c是一个按照从低到高次序排列的一维多项式系数数组。

步骤

首先，导入所需的库−

import numpy as np
from numpy.polynomial.polynomial import polycompanion

创建一个一维系数数组−

c = np.array([1, 2, 3])

显示数组−

print("Our Array...\n",c)

检查尺寸 –

print("\nDimensions of our Array...\n",c.ndim)

获取数据类型 –

print("\nDatatype of our Array object...\n",c.dtype)

了解形状 −

print("\nShape of our Array object...\n",c.shape)

要返回一维多项式系数的伴随矩阵，可以使用 polynomial.polycompanion() 方法-

print("\nResult...\n",polycompanion(c))

示例

import numpy as np
from numpy.polynomial.polynomial import polycompanion

# Create a 1D array of coefficients
c = np.array([1, 2, 3])

# Display the array
print("Our Array...\n",c)

# Check the Dimensions
print("\nDimensions of our Array...\n",c.ndim)

# Get the Datatype
print("\nDatatype of our Array object...\n",c.dtype)

# Get the Shape
print("\nShape of our Array object...\n",c.shape)

# To return the companion matrix of a 1-D array of polynomial coefficients, return the polynomial.polycompanion() method in Python Numpy
print("\nResult...\n",polycompanion(c))

输出

Our Array...
[1 2 3]

Dimensions of our Array...
1

Datatype of our Array object...
int64

Shape of our Array object...
(3,)

Result...
[[ 0. -0.33333333]
[ 1. -0.66666667]]