Detailed explanation of the usage of norm function in python

In Python, the norm() function is one of the methods used to calculate the norm (or length) of a vector and can be used for one-dimensional arrays, two-dimensional arrays and multi-dimensional arrays.

In Python, the norm() function is one of the methods used to calculate the norm (or length) of a vector. It can be used for one-dimensional arrays, two-dimensional arrays and multi-dimensional arrays. The specific usage of norm() function is as follows:

1. For one-dimensional array:

Syntax: numpy.linalg.norm(x, ord=None, axis= None, keepdims=False)

Parameters:

x: One-dimensional array.

ord: Norm calculation method, the default is None, which means calculating 2-norm. Commonly used values ​​are 1, 2 and infinity (np.inf).

axis: Specify the axis for calculating the norm. The default is None, which means calculating the norm of the entire array.

keepdims: Whether to keep the output dimensions. The default is False, which means not to keep it.

Return value: calculated norm value.

2. For two-dimensional arrays:

Syntax: numpy.linalg.norm(x, ord=None, axis=None, keepdims=False)

Parameters:

x: two-dimensional array.

ord: The calculation method of the norm, the default is None, which means calculating the Frobenius norm (the square root of the sum of the squares of the matrix elements).

axis: Specify the axis for calculating the norm. The default is None, which means calculating the norm of the entire array.

keepdims: Whether to keep the output dimensions. The default is False, which means not to keep it.

Return value: calculated norm value.

3. For multi-dimensional arrays:

Syntax: numpy.linalg.norm(x, ord=None, axis=None, keepdims=False)

Parameters:

x: multidimensional array.

ord: The calculation method of the norm, the default is None, which means calculating the Frobenius norm.

axis: Specify the axis for calculating the norm. The default is None, which means calculating the norm of the entire array.

keepdims: Whether to keep the output dimensions. The default is False, which means not to keep it.

Return value: calculated norm value.

Norm is a method used to measure the size of a vector or matrix. It can be used to calculate distance, similarity, etc. In practical applications, the appropriate norm calculation method can be selected according to specific needs.

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