Some P-RAM Algorithms for Sparse Linear Systems - Chaudhari, S - 2008 () Citation Context ...re, Chaudhari As we know that in a a ( k ) ( k+ 1) ( k ) ik ( k ) ij = aij − a ( k ) jk aik we are eliminating position (k a ik ) Case 1 – If i ≠ j then the ...
M. Zemke. Flexible and multi-shift induced dimension reduction algorithms for solving large sparse linear systems. 22(1):1-25, 2015.M. B. van Gijzen, G. L. Sleijpen, and J.-P. M. Zemke, Flexible and multi-shift induced dimension reduction algorithms for solving large sparse linear ...
Systolic algorithms for preconditioned iterative procedures are described and discussed in relation to existing systolic arrays for iterative methods applied to the systems of linear equations arising from the solution of partial differential equations. In boundary value problems it is shown that if the c...
Component averaging: An efficient iterative parallel algorithm for large and sparse unstructured problems Parallel Computing (2001) Y. Saad Iterative Methods for Sparse Linear Systems (2000) D. Göddeke et al. Performance and accuracy of hardware-oriented native-, emulated- and mixed-precision solver...
We consider the problem of solving a linear system Ax=b over a cyclotomic field. Cyclotomic fields are special in that we can easily find a prime p for which the minimal polynomial m(z) for the field factors into a product of distinct linear factors. This ...
2nd International Symposium on Computer, Communication, Control and Automation (3CA 2013) Parallel Algorithms for Solving Large Sparse Linear Equations Jingzhu Li1,2 1.School of Computer Science, National University of Defense Technology Changsha, China 2. Fok Ying Tung Graduate School Hong Kong ...
In boundary value problems it is shown that if the cost of the preconditioned systolic arrays in terms of hardware is related to the (standard) iterative methods, then savings in the number of array cells can be made when the system involved is large and sparse (narrow bandwidth) with a ...
Roos, C., Terlaky, T., Vial, J.-P.: Interior Point Methods for Linear Optimization. Springer (2005). https://doi.org/10.1007/b100325 Book Google Scholar Saad, Y.: Iterative Methods for Sparse Systems. SIAM (2003). https://doi.org/10.1137/1.9780898718003 Sherman, J., Morrison, W....
Johnson’s algorithm for sparse graphs(约翰逊稀疏图算法)(721) 1. Preserving shortest paths by reweighting(通过重新加权保留最短路径)(721) 2. Producing nonnegative weights by reweighting(通过重新加权生成非负权重)(722) 3. Computing all-pairs shortest paths(计算所有对的最短路径)(722) 5. Maximum ...
2021Solving Sparse Linear Systems Faster than Matrix Multiplication 2020Chasing Convex Bodies with Linear Competitive Ratio 2020Chasing Convex Bodies Optimally 2019Sublinear Algorithms for (∆ + 1) Vertex Coloring 2018Approaching 3/2 for the s-t-path TSP ...