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

[behzad baghapour]

So, this means there is no clear way to obtain Induced Norm of matrix like
NORM-2 ( unless using SVD and maximum SV ) ?

On Sun, Oct 30, 2011 at 7:22 PM, Matthew Knepley <knepley at gmail.com> wrote:

> 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
>



-- 
==================================
Behzad Baghapour
Ph.D. Candidate, Mechecanical Engineering
University of Tehran, Tehran, Iran
https://sites.google.com/site/behzadbaghapour
Fax: 0098-21-88020741
==================================
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