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 ================================== -------------- next part -------------- An HTML attachment was scrubbed... URL: <http://lists.mcs.anl.gov/pipermail/petsc-users/attachments/20111030/f54b469d/attachment.htm>
