在Python中将多项式转换为Chebyshev系列

要将多项式转换为Chebyshev系列，请使用Python Numpy中的chebyshev.poly2cheb()方法。将表示多项式系数的数组从最低次到最高次排序，转换为表示等效Chebyshev系列系数的数组，从最低次到最高次排序。该方法返回一个包含等效Chebyshev系列系数的一维数组。参数c是一个包含多项式系数的一维数组。

步骤

首先，导入所需的库−

import numpy as np
from numpy import polynomial as P

使用numpy.array()方法创建一个数组 –

c = np.array([1, 2, 3, 4, 5])

显示数组−

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

检查尺寸 −

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

获得数据类型 –

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

获取形状 –

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

将多项式转换为Chebyshev系列，请使用Python Numpy中的chebyshev.poly2cheb()方法−

print("\nResult (polynomial to chebyshev)...\n",P.chebyshev.poly2cheb(c))

示例

import numpy as np
from numpy import polynomial as P

# Create an array using the numpy.array() method
c = np.array([1, 2, 3, 4, 5])

# 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 convert a polynomial to a Chebyshev series, use the chebyshev.poly2cheb() method in Python Numpy
print("\nResult (polynomial to chebyshev)...\n",P.chebyshev.poly2cheb(c))

输出

Our Array...
   [1 2 3 4 5]

Dimensions of our Array...
1

Datatype of our Array object...
int64

Shape of our Array object...
(5,)

Result (polynomial to chebyshev)...
   [4.375 5. 4. 1. 0.625]