返回Python中一維勒讓德多項式係數的縮放伴隨矩陣
要返回一維勒讓德多項式係數的縮放伴隨矩陣,請在Python NumPy中使用legendre.legcompanion()方法。當c是拉蓋爾多項式基時,勒讓德多項式的普通伴隨矩陣已經是對稱的,因此不應用縮放。
返回維度為(deg, deg)的縮放伴隨矩陣。引數c是一個從低到高階排序的一維勒讓德級數係數陣列。
步驟
首先,匯入所需的庫:
import numpy as np from numpy.polynomial import legendre as L
建立一個一維繫數陣列:
c = np.array([1, 2, 3, 4, 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)要返回一維勒讓德多項式係數的縮放伴隨矩陣,請在Python NumPy中使用legendre.legcompanion()方法。當c是拉蓋爾多項式基時,勒讓德多項式的普通伴隨矩陣已經是對稱的,因此不應用縮放:
print("\nResult...\n",L.legcompanion(c))示例
import numpy as np
from numpy.polynomial import legendre as L
# Create a 1D array of coefficients
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 return the scaled companion matrix of a 1-D array of Legendre polynomial coefficients, use the legendre.legcompanion() method in Python Numpy
print("\nResult...\n",L.legcompanion(c))輸出
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... [[ 0. 0.57735027 0. -0.30237158] [ 0.57735027 0. 0.51639778 -0.34914862] [ 0. 0.51639778 0. 0.10141851] [ 0. 0. 0.50709255 -0.45714286]]
廣告
資料結構
網路
關係資料庫管理系統 (RDBMS)
作業系統
Java
iOS
HTML
CSS
Android
Python
C語言程式設計
C++
C#
MongoDB
MySQL
Javascript
PHP