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

[behzad baghapour]

OK. Thanks. I should continue my research.

On Sun, Oct 30, 2011 at 7:29 PM, Matthew Knepley <knepley at gmail.com> wrote:

> On Sun, Oct 30, 2011 at 3:57 PM, behzad baghapour <
> behzad.baghapour at gmail.com> wrote:
>
>> So, this means there is no clear way to obtain Induced Norm of matrix
>> like NORM-2 ( unless using SVD and maximum SV ) ?
>
>
> I say yes. I invite you to examine the literature.
>
>   Matt
>
>
>> 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
>> ==================================
>>
>>
>
>
> --
> 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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