نتایج جستجو برای: square matrix equations

تعداد نتایج: 704236  

2010
Eran Treister Irad Yavneh

A novel multigrid algorithm for computing the principal eigenvector of column stochastic matrices is developed. The method is based on the Exact Interpolation Scheme multigrid approach of Brandt and Ron, whereby the prolongation is adapted to yield a better and better coarse representation of the sought eigenvector. A special feature of the present approach is the squaring of the stochastic mat...

Journal: :CoRR 2011
Reza Bosagh Zadeh Gunnar Carlsson

We compute the singular values of an m × n sparse matrix A in a distributed setting, without communication dependence on m, which is useful for very large m. In particular, we give a simple nonadaptive sampling scheme where the singular values of A are estimated within relative error with constant probability. Our proven bounds focus on the MapReduce framework, which has become the de facto too...

2014
Genevera I. Allen Jonathan Taylor Genevera I. ALLEN Jonathan TAYLOR

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2013
Reza Bosagh Zadeh Gunnar Carlsson

We compute the singular values of an m × n sparse matrix A in a distributed setting, without communication dependence on m, which is useful for very large m. In particular, we give a simple nonadaptive sampling scheme where the singular values of A are estimated within relative error with constant probability. Our proven bounds focus on the MapReduce framework, which has become the de facto too...

Journal: :Journal of Mathematical Analysis and Applications 1983

Journal: :Proceedings of the National Academy of Sciences 1932

Journal: :East Asian mathematical journal 2013

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