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 ================================== -------------- next part -------------- An HTML attachment was scrubbed... URL: <http://lists.mcs.anl.gov/pipermail/petsc-users/attachments/20111030/1e7f886b/attachment.htm>
