[petsc-users] How to calculate Induced Norm of Matrix?

Matthew Knepley knepley at gmail.com
Sun Oct 30 10:52:28 CDT 2011


On Sun, Oct 30, 2011 at 3:50 PM, behzad baghapour <
behzad.baghapour at gmail.com> wrote:

> OK. Thanks.


More commentary: There are lots of papers about estimating these norms
(1-norms too), and
nothing works well. There are no good ways to generically approximate the
matrix norm. For
certain very special classes of matrix, you can do it, but these are also
the matrices for which
you have a specialize very fast solver, like the Laplacian, so you rarely
care.

     Matt


> On Sun, Oct 30, 2011 at 7:17 PM, Jed Brown <jedbrown at mcs.anl.gov> wrote:
>
>> On Sun, Oct 30, 2011 at 09:43, behzad baghapour <
>> behzad.baghapour at gmail.com> wrote:
>>
>>> Is there any way in Petsc to obtain Induced norm of matrix? ( especially
>>> NORM-2 )
>>>
>>
>> Estimate the largest singular value using a Krylov method.
>>
>
>
>
> --
> ==================================
> Behzad Baghapour
> Ph.D. Candidate, Mechecanical Engineering
> University of Tehran, Tehran, Iran
> https://sites.google.com/site/behzadbaghapour
> Fax: 0098-21-88020741
> ==================================
>
>


-- 
What most experimenters take for granted before they begin their
experiments is infinitely more interesting than any results to which their
experiments lead.
-- Norbert Wiener
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