在Python中使用浮點數陣列生成Hermite_e多項式的Vandermonde矩陣


要生成Hermite_e多項式的Vandermonde矩陣,請在Python NumPy中使用hermite_e.hermvander()。此方法返回偽Vandermonde矩陣。返回矩陣的形狀為x.shape + (deg + 1,),其中最後一個索引是相應Hermite多項式的階數。dtype將與轉換後的x相同。

引數x返回點陣列。dtype根據元素是否為複數轉換為float64或complex128。如果x是標量,則將其轉換為一維陣列。引數deg是結果矩陣的階數。

步驟

首先,匯入所需的庫:

import numpy as np
from numpy.polynomial import hermite_e as H

建立一個數組:

x = np.array([0, 3.5, -1.4, 2.5])

顯示陣列:

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

檢查維度:

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

獲取資料型別:

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

獲取形狀:

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

要生成Hermite_e多項式的Vandermonde矩陣,請使用hermite_e.hermvander()方法:

print("\nResult...\n",H.hermevander(x, 2))

示例

import numpy as np
from numpy.polynomial import hermite_e as H

# Create an array
x = np.array([0, 3.5, -1.4, 2.5])

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

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

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

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

# To generate a Vandermonde matrix of the Hermite_e polynomial, use the hermite_e.hermvander() in Python Numpy
print("\nResult...\n",H.hermevander(x, 2))

輸出

Our Array...
   [ 0. 3.5 -1.4 2.5]

Dimensions of our Array...
1

Datatype of our Array object...
float64

Shape of our Array object...
(4,)

Result...
   [[ 1. 0.  -1. ]
   [ 1.  3.5 11.25]
   [ 1. -1.4  0.96]
   [ 1.  2.5  5.25]]

更新於:2022年3月9日

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