How to Calculate Weights for Gauss-Kronrod Quadrature Using Nodes and Degree?

[member 657093]

TL;DR

How to compute the weights once you have the nodes?

The Gauss-Kronrod quadrature uses the zeros of the Legendre Polynomials of degree n and the zeros of the Stieltjes polynomials of degree n+1. These zeros are the nodes for the quadrature. For example using the Gauss polynomial of degree 7, you will need the Stieltjes of degree 8 and both makes up to 15 nodes in accordance to the quadrature rule (2n+1).

But how would you calculate the weights given the nodes and the degree?

 

[mathman]

Try Google for Gauss-Kronrod.

 

[member 657093]

Try Google for Gauss-Kronrod.

I tried but nothing comes in handy.

For example the Gauss-Legendre quadrature weights is easily understood in this link: Legendre weights
So I'm looking for something like this for the Gauss-Kronrod!