Hey Abhishek, Why would you want to fully invert a matrix that large?
How is it preconditioned? What is the condition number of the matrix? Why not just use ScaLAPACK? It's a hairy beast, but you should definitely consider it. Brian On Feb 3, 2010, at 9:57 PM, [email protected] wrote: > Hi, > Any idea how this method will scale for dense matrices ?The kind of > matrices I > am going to be working with are 500,000*500,000. Will this be a problem. Also > have you used this patch ? > > Best Regards from Buffalo > > Abhishek Agrawal > > SUNY- Buffalo > (716-435-7122) > > On Wed 02/03/10 1:41 AM , Ganesh Swami [email protected] sent: >> What about the Moore-Penrose inverse? >> >> http://en.wikipedia.org/wiki/Moore-Penrose_pseudoinverse >> >> The pseudo-inverse coincides with the regular inverse when the matrix >> is non-singular. Moreover, it can be computed using the SVD. >> >> Here's a patch for a MapReduce version of the SVD: >> https://issues.apache.org/jira/browse/MAHOUT-180 >> Ganesh >> >> On Tue, Feb 2, 2010 at 10:11 PM, <aa...@buffa >> lo.edu> wrote:> Hello People, >>> Â Â Â >> Â Â Â My name is Abhishek Agrawal. For >> the last few days I have been trying> to figure out how to calculate the > inverse of a >> matrix using Map Reduce. Matrix> inversion has 2 common approaches. Gaussian- >> Jordan and the cofactor of transpose> method. But both of them dont seem to >> be > suited >> too well for Map- Reduce.> Gaussian Jordan involves blocking co factoring a >> matrix requires repeated> calculation of determinant. >>> >>> Can some one give me any pointers so as to how >> to solve this problem ?> >>> Best Regards from Buffalo >>> >>> Abhishek Agrawal >>> >>> SUNY- Buffalo >>> (716-435-7122) >>> >>> >>> >>> >> >> >> >> >>
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