Tabulated Gauss-Kronrod weights and abscissae

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Dhanushka Palipana
编辑： John D'Errico 2020-7-7
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
  1 个评论
Sai Sri Pathuri
Sai Sri Pathuri 2020-7-7
Which resource did you refer for mp.GaussKronrod function? I am unable to find it in MATLAB documentation.

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回答（1 个）

John D'Errico
John D'Errico 2020-7-7
编辑：John D'Errico 2020-7-7
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.

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