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Thanks

RKToolbox version 2.0

Stefan Güttel 5 years ago updated by Pavel Holoborodko 5 years ago 2
Hi Pavel,
we have just released our Rational Krylov Toolbox for MATLAB version 2.0, and it now supports the use of your Multiple Precision toolbox: http://guettel.com/rktoolbox/

If you're interested to see how it's useful for us, I created one example in the collection which demonstrate its use:

http://guettel.com/rktoolbox/examples/html/example_rkfun.html

In a nutshell, our toolbox represents rational functions in matrix pencil form (H,K) associated with a discrete orthogonal basis. This basis has condition number 1 and hence we work with this representation whenever possible. For some applications, however, it is required to convert a rational function to partial fraction, quotient, or continued fraction form, which is nothing but a change of basis. As the new basis may be badly conditioned, we need multiple precision arithmetic to avoid loss of accuracy. We found your toolbox particularly useful as it's much faster than MATLAB's VPA, and also it supports EIG for matrix pencils, which VPA doesn't.

Thanks again for your great work!

Stefan
Hi Stefan,

Thank you very much for your excellent work on RKT and for citing the toolbox.
RKT looks very interesting and useful - congratulations on a new release!

I will make this post public as well - probably somebody will be interested in RKT as well.