使用Python生成Hermite_e多项式的伪范德蒙德矩阵,其中包含浮点型数组的点坐标
要生成Hermite多项式的伪范德蒙德矩阵,请在Python NumPy中使用hermite_e.hermevander2d()。该方法返回伪范德蒙德矩阵。参数x、y是形状相同的点坐标数组。数据类型将根据是否存在复数元素转换为float64或complex128。标量将转换为一维数组。参数deg是最大次数的列表,形式为[x_deg, y_deg]。
步骤
首先,导入所需的库:
import numpy as np from numpy.polynomial import hermite as H
使用numpy.array()方法创建形状相同的点坐标数组:
x = np.array([0.1, 1.4]) y = np.array([1.7, 2.8])
显示数组:
print("Array1...\n",x)
print("\nArray2...\n",y)显示数据类型:
print("\nArray1 datatype...\n",x.dtype)
print("\nArray2 datatype...\n",y.dtype)检查两个数组的维度:
print("\nDimensions of Array1...\n",x.ndim)
print("\nDimensions of Array2...\n",y.ndim)检查两个数组的形状:
print("\nShape of Array1...\n",x.shape)
print("\nShape of Array2...\n",y.shape)要生成Hermite多项式的伪范德蒙德矩阵,请在Python NumPy中使用hermite_e.hermevander2d():
x_deg, y_deg = 2, 3
print("\nResult...\n",H.hermevander2d(x,y, [x_deg, y_deg]))示例
import numpy as np
from numpy.polynomial import hermite_e as H
# Create arrays of point coordinates, all of the same shape using the numpy.array() method
x = np.array([0.1, 1.4])
y = np.array([1.7, 2.8])
# Display the arrays
print("Array1...\n",x)
print("\nArray2...\n",y)
# Display the datatype
print("\nArray1 datatype...\n",x.dtype)
print("\nArray2 datatype...\n",y.dtype)
# Check the Dimensions of both the array
print("\nDimensions of Array1...\n",x.ndim)
print("\nDimensions of Array2...\n",y.ndim)
# Check the Shape of both the array
print("\nShape of Array1...\n",x.shape)
print("\nShape of Array2...\n",y.shape)
# To generate a pseudo Vandermonde matrix of the Hermite polynomial, use the hermite_e.hermevander2d() in Python Numpy
x_deg, y_deg = 2, 3
print("\nResult...\n",H.hermevander2d(x,y, [x_deg, y_deg]))输出
Array1...
[0.1 1.4]
Array2...
[1.7 2.8]
Array1 datatype...
float64
Array2 datatype...
float64
Dimensions of Array1...
1
Dimensions of Array2...
1
Shape of Array1...
(2,)
Shape of Array2...
(2,)
Result...
[[ 1.000000e+00 1.700000e+00 1.890000e+00 -1.870000e-01 1.000000e-01
1.700000e-01 1.890000e-01 -1.870000e-02 -9.900000e-01 -1.683000e+00
-1.871100e+00 1.851300e-01]
[ 1.000000e+00 2.800000e+00 6.840000e+00 1.355200e+01 1.400000e+00
3.920000e+00 9.576000e+00 1.897280e+01 9.600000e-01 2.688000e+00
6.566400e+00 1.300992e+01]]
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