An efficient algorithm for one-sided block ordering problem under block-interchange distance
نویسندگان
چکیده
منابع مشابه
Parallel One - Sided Block - Jacobi Svd Algorithm
A new dynamic ordering is presented for the parallel one-sided block Jacobi SVD algorithm. Similarly to the two-sided variant, which has been analyzed and implemented in last 10 years, the dynamic ordering takes into account the actual status of a matrix—this time of its block columns with respect to their mutual orthogonality. Using p processors, in each parallel iteration step the p mostly in...
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The serial Jacobi algorithm (either one-sided or two-sided) for the computation of a singular value decomposition (SVD) of a general matrix has excellent numerical properties and parallelization potential, but it is considered to be the slowest method for computing the SVD. Even its parallelization with some parallel cyclic (static) ordering of subproblems does not lead to much improvement when...
متن کاملGeneralization of the Dynamic Ordering for the One-Sided Block Jacobi SVD Algorithm: II. Implementation
We have designed, implemented and tested (by simulation on a serial computer) the new dynamic ordering for the parallel one-sided block-Jacobi SVD algorithm. Our idea is based on the estimation of the cosines of principal angles between two block columns X and Y of the same width without explicitly forming the matrix product XY (or Y X) and computing its SVD. Instead, we propose to use a fixed ...
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This technical report is devoted to the description of implementation details of the accelerated parallel one-sided block Jacobi SVD algorithm, whose analysis and design was described in [21]. We provide discuss a suitable data layout for a parallel implementation of the algorithm on a parallel computer with distributed memory. This discussion is complicated by the fact that different computati...
متن کاملGeneralization of the Dynamic Ordering for the One-Sided Block Jacobi SVD Algorithm: I. Analysis and Design
The efficiency of the one-sided parallel block-Jacobi algorithm for computation of the singular value decomposition (SVD) of a general matrix A ∈ Rm×n, m ≥ n, depends–besides some numerical tricks that speed-up the convergence–crucially on the parallel ordering of subproblems, which are to be solved in each parallel iteration step. We discuss in detail possible generalizations of the so-called ...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2016
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2015.10.010