Tabulated Gauss-Kronrod weights and abscissae

Hello!

I have the below code that I want to run.

[xk,wk] = mp.GaussKronrod(7); % Corresponding Kronrod nodes & weights for [-1,1]

num2str([xk wk],'%45.34e\t\t%40.34e')

I don't have the mp.GaussKronrod function that they say is built-in. Does anyone know where I can find this function?

Thanks

Dhanushka

[Sai Sri Pathuri]

Which resource did you refer for mp.GaussKronrod function? I am unable to find it in MATLAB documentation.

Answer 1

[John D'Errico]

I might presume the mp indicates some variation of the multi-precision toolbox. An old free version has been on the File Exchange for many years.

https://www.mathworks.com/matlabcentral/fileexchange/6446-multiple-precision-toolbox-for-matlab

I just took a quick glance at the functions listed there, and I do not see a GaussKronrod code. At first I might guess it is code someone added to the toolbox on their own.

So then I did a search using the terms "multi precision GaussKronrod". This leads me to the page

https://www.advanpix.com/2011/11/07/gauss-kronrod-quadrature-nodes-weights/

There we see that GaussKronrod is provided as part of a paid version of this toolbox. At best, you can get a 7 day free trial.