Given 2 arrays create a Cauchy matrix from it?
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Given 2 arrays create a Cauchy matrix from it?

Given 2 arrays create a Cauchy matrix from it?

Given 2 arrays create a Cauchy matrix from it

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Recipe Objective

A Cauchy matrix is a matrix determined by two vectors. Given two vectors x and y, the Cauchy matrix C generated by them is defined as: C[i][j] := 1/(x[i] - y[j]). Now, we can use for loop to create it but let's look at an efficient way.

So this recipe is a short example on how to create a Cauchy matrix from two arrays. Let's get started.

Step 1 - Import the library

import numpy as np

Let's pause and look at these imports. Numpy is generally helpful in data manipulation while working with arrays. It also helps in performing mathematical operation.

Step 2 - Generating two arrays

x = np.array([1,2,3,4]) y = np.array([5,6,7])

Here, we have created two simple arrays.

Step 3 - Generating Cauchy matrix

c= 1.0 / (x.reshape((-1,1)) - y)

Now, using the formula, we have created a simple cauchy matrix.

Step 4 - Printing the nearest value

print(c)

Now, simply using print function, we have print our matrix.

Step 5 - Let's look at our dataset now

Once we run the above code snippet, we will see: 

Scroll down the ipython file to visualize the output.

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